Showing papers by "Nankai University published in 1991"
TL;DR: For a given braid group representation (BGR), a process of the Yang-Baxterization is formulated to generate solutions of the YBE as discussed by the authors, which preserves the crossing symmetry property if the given BGR has the Birman-Wenzl algebraic structure.
Abstract: For a given braid group representation (BGR), a process of the Yang-Baxterization is formulated to generate solutions of the Yang-Baxter equation (YBE) When a BGR admits the Birman-Wenzl (BW) algebraic structure, this process can be explicitly passed through and two types of trigonometric solutions of YBE are generated from such a BGR These two solutions have, the essential difference to each other and both of them, preserve the crossing symmetry property if the given BGR has By taking certain, reduction on the BW algebra, the rational solution is also generated A practical condition to judge whether a BGR satisfies the BW algebra is given, from which one finds that not only the familiar BGRs of [5,7,9], but also some new, ones obtained recently in [12] have the BW structure Thus they can be explicitly Yang-Baxterized to solutions of the YBE
94 citations
TL;DR: Colonial peritrichs may contribute to the decline of copepod populations when they are in a food-limited environment.
Abstract: The transmission of Epistylis daphniae infection among Boeckella triarticulata and the effect of peritrich epizoites on the copepod hosts were examined at 15 °C in the laboratory. After being paired with carrier copepodites, 97.5% of non-carrier adults became hosts to E. daphniae. When food was present there was no difference between carriers and non-carriers in growth of copepodites, and in survival and reproduction of adults. When food was absent, copepods infected with E. daphniae survived for shorter periods than non-carriers (p < 0.002). Therefore, colonial peritrichs may contribute to the decline of copepod populations when they are in a food-limited environment.
76 citations
TL;DR: In this article, an explicit prescription for trigonometric Yang-Baxterization is presented, together with a variation of it for BGRs having two or three unequal eigenvalues.
Abstract: We present an explicit prescription for trigonometric Yang-Baxterization. Given a braid group representation (BGR) in appropriate form, our prescription generates explicit solutions to the quantum Yang-Baxter equations (QYBE). We have proved the correctness of this prescription, together with a variation of it, for BGR’s having two or three unequal eigenvalues. All the known explicit results obtained by Jimbo and Bazhanov are reproduced. More YB solutions are obtained from “standard” BGR’s associated with fundamental and higher dimensional representations of simple Lie algebras. Our prescription also applies to the new “nonstandard” BGR’s, which are beyond the reach of present quantum group techniques but obtainable by our previous direct method. New explicit examples include the standard ones with 6 of SU(3), 10 of SU(5) and exotic ones with C2 and D2, etc. The classical limit of our YB solutions is also studied. It turns out that some of our exotic QYB solutions have an unusual classical limit. Our results suggest that the QYBE embodies a much richer structure than we thought.
68 citations
49 citations
TL;DR: A unified proof for all d ≥ 3 that both G B ( n, d ) and G I ( n , d ) have Hamiltonian circuits is given.
44 citations
01 Jan 1991
40 citations
38 citations
01 Jan 1991
TL;DR: In this paper, the authors studied the stochasticity of singular set of symplectic mtrices and derived a Maslov-type index theory for (degenerate) paths in symplectic groups, and therefore established the existence of periodic solutions of asymptotically linear Hamiltonian systems.
Abstract: A symplectic matrix M is singular, if det(M-I)=0. In this paper we study the struc-ture of the singular set of symplectic mtrices. We discuss the changes of the dimension ofthe null space and the determinant of the difference between a singular symplectic matrixand the identity matrix under rotational perturbations. The results obtained will be used todefine a Maslov-type index theory for (degenerate) paths in symplectic groups, and thereforeto establish the existence of periodic solutions of asymptotically linear Hamiltonian systems.
29 citations
TL;DR: Factorizable scattering theory can be formulated in terms of creation and annihilation operators which satisfy the so-called Zamolodchikov-Faddeev algebra, and it is demonstrated that the finite-dimensional analog of this algebra reproduces covariant systems of q -oscillators, noncommutative geometry of quantum hyperplane spaces with central extension as discussed by the authors.
26 citations
TL;DR: A Cu-doped crystal produced as much as 68% self-pumped phaseconjugate reflectivity at the laser wavelength lambda = 514.5 nm, and observed some phenomena that helped to understand the mechanism for the self-Pumped phase- Conjugate mirror.
Abstract: A Cu-doped (0.04 wt. %) (K0.5Na0.5)0.2(Sr0.61Ba0.39)0.9Nb2O6 crystal produced as much as 68% self-pumped phase-conjugate reflectivity at the laser wavelength λ = 514.5 nm. We also observed some phenomena that helped us to understand the mechanism for the self-pumped phase-conjugate mirror.
26 citations
TL;DR: An unbounded solution of a Duffing's equation with a smooth superlinear nonlinearity was constructed in this article, where the superlinearity of the solution was used to solve the problem.
Abstract: An unbounded solution of a Duffing's equation with a smooth superlinear nonlinearity is constructed.
TL;DR: Differences between nauplii and copepodites of B. dilatata and B. hamata in survivorship and development on diets of Cy, Anabaena flos-aquae (Af), Ao and Nostoc sp.
Abstract: Nauplii and immature copepodites of Boeckella triarticulata, B. hamata and B. dilatata were tested for their ability to survive and grow on monospecific diets of four species of filamentous cyanobacteria, Cyclotella (Cy) and Cryptomonas (Cr) at 2 mg dry weight 1−1. Cr supported the development from nauplius to adult of all three calanoid species; complete development on other diets occurred only in B. dilatata on Cy and Anabaena oscillarioides (Ao). Differences between nauplii and copepodites of B. dilatata and B. hamata in survivorship and development on diets of Cy, Anabaena flos-aquae (Af), Ao and Nostoc sp. 2 (N2) imply ontogenetic shifts in resource utilization with developmental phase. Ranked in order of their ability to support the development of juvenile boeckellids the foods were Cr > Cy > Ao > N2 > Af > Nostoc calcicola = no food.
TL;DR: By constructing a new q-deformed boson realization of the quantum universal enveloping algebra sl q (2) its finite dimensional representations with an arbitrary parameter are obtained in the case that q is a root of unity as discussed by the authors.
TL;DR: In this paper, a planar monomeric fragment Cu(oxpn) where oxpn is N, N′-bis(3-aminopropyl)oxamido, was synthesized from the planar fragment of the oxamido-bridged structure.
Abstract: From the planar monomeric fragment Cu(oxpn) where oxpn is N, N′-bis(3-aminopropyl)oxamido, we have synthesized three complexes, namely[Cu(oxpn)Mn(bpy)2](ClO4)2H2O (1)(bpy = 2, 2′-bipyridyl), [Cu(oxpn)Mn(phen)2](ClO4)22H2O (2) (phen = 1, 10-phenanthroline), and [Cu(oxpn)Mn(NO2-phen)](ClO4)2H2O (3) (NO2-phen = 5-nitro-1, 10-phenanthroline) Based on IR, elemental analyses, electronic spectra and conductivity, the complexes are proposed to have an oxamido-bridged structure and consist of Cu(II) in a planar environment and Mn(II) in a distorted octahedron The complexes have been characterized by variable-temperature magnetic susceptibility (4-300 K) and the susceptibility data were least-squares fit to the susceptibility equation derived from the spin Hamiltonian including single-ion zero-field interaction for Mn(II) ion Ĥ = −2JS1-S2-DS2 z1, where D is the axial zero-field splitting parameter for the Mn(II) ion The exchange integral, J, was found to be equal to -1073 cm−1 in (1) -1520 cm−1 in
TL;DR: In this article, a self-pumped phase-conjugate wave was observed in a Cu-doped (K 0.5 Na 0.39 ) 0.9 Nb 2 O 6 crystal at Ar + laser wavelengths.
TL;DR: The structure of Cu(bipy)3(ClO4)2` was established by X-ray crystallography as mentioned in this paper, in which the geometry around the copper(II) ion is distorted square-pyramidal.
TL;DR: A new clustering algorithm which can jump out of a local minimum for a clustering problem with a large number of classes is introduced, developed from an interactive one which employs four operations to change the cluster distribution.
TL;DR: The geometric isomers of some of them are separated and the molecular structures are confirmed by NMR. IR. MS or X-ray diffraction as mentioned in this paper, and they have been synthesized.
Abstract: Dipeptides and eyclodipeptides containing aminoalkyl phosphonyl groups have been synthesized. The geometric isomers of some of them are separated and the molecular structures are confirmed by NMR. IR. MS or X-ray diffraction.
TL;DR: KCl at 0.134–13.4 mM clearly stimulated rooting in mung bean ( Phaseolus radiatus L.) hypocotyls and several salts of potassium at 1.34–40.2 mM significantly promoted rooting in excised cucumber cotyledons.
TL;DR: In this article, the Huggins parameters χ of ring-shaped polymers are assumed to obey the dependence χ = χ1 (1 + σ ϕ2) on local segment concentration as expressed by the volume fraction of the polymer ϕ 2, and σ being a constant.
Abstract: In order to explain the difference in theta temperatures between ring-shaped polymers and their corresponding linear polymers, the Huggins parameters χ of ring-shaped polymers is assumed to obey the dependence χ = χ1 (1 + σ ϕ2) on local segment concentration as expressed by the volume fraction of the polymer ϕ2, and σ being a constant. A comparison between theoretical results and light scattering measurements of Roovers and ourselves is satisfactory.
TL;DR: There exist three types of similarity reduction for the Kadomtsev-Petviashvili equation as mentioned in this paper, and various new solutions of the second and third types of the reductions are discussed in detail.
Abstract: There exist three types of similarity reductions for the Kadomtsev-Petviashvili equation. Various new solutions of the second and third types of the reductions are discussed in detail. Lots of arbitrary functions of are included in these solutions.
TL;DR: The utilization of SCE in plants is a simple and inexpensive technique for detecting potential mutagenic agents in the environment.
Abstract: In this paper a modified procedure for sister-chromatid differentiation in plant cells is reported. Using this procedure some chemicals were tested for SCE induction in Vicia faba, Hordeum vulgare and Secale cereale. The chemicals tested were ethanol, chromium oxide, sodium saccharin, fluorouracil, ascorbic acid (vitamin c), omethoate and phenol. The experimental results showed that most of them induced SCE increases in mouse spleen cells, human lymphocytes and plant cells. The increase of SCEs per cell in plant cells is in agreement with that found in human lymphocytes or in mouse spleen cells. In our opinion, the utilization of SCE in plants is a simple and inexpensive technique for detecting potential mutagenic agents in the environment.
TL;DR: In this paper, X-ray crystal structure determination of one representative complex, [η 5 -C 5 H 5 (CO) 3 W] 2 Hg has been performed.
TL;DR: In this article, an approach of constructing new solutions of the spectral-independent Yang-Baxter equation (i.e., the braid group representations) was shown, and these new solutions possess some particular features, such as that they do not have the classical limit in the usual sense of Refs. 2, 5, etc.
Abstract: Through the examples associated with simple Lie algebras B2, C2 and D2, an approach of constructing new solutions of the spectral-independent Yang-Baxter equation (i.e. the braid group representations) was shown. These new solutions possess some particular features, such as that they do not have the classical limit in the usual sense of Refs. 2, 5, etc., and give rise to the new solutions of the x-dependent Yang-Baxter equation by using the Yang-Baxterization prescription.
TL;DR: In this article, an X-ray analysis of one of the clusters where R = Ph and R′ = ET indicates that it consists of two different moieties, PhSFe2(CO6 and EtSFe 2(CO)6, joined together by a η4-S spiran sulfur atom.
TL;DR: A double cluster core complex, [(μ-tBuS)(μ-MeAs)Fe2(CO)6]2 was prepared from the reaction of methydiiodoarsine with [Et3NH] and its structure was unambiguously established by X-ray diffraction as mentioned in this paper.
TL;DR: In this article, a number of fluorescent 3-aryl-1-methylquinolinones were synthesized by the regiospecific photocoupling reaction of 3-halo-1 -methylquinolones with aromatic and heteroaromatic compounds.
TL;DR: In this paper, the cyclic representations of the quantum superalgebra Uq osp(2, 1) are constructed in three classes: irreducible representations with single multiplicities.
Abstract: By generalizing De Concini and Kac's cyclic representation theory of quantum groups at roots of unity, the cyclic representations of the quantum superalgebra Uq osp(2, 1) are constructed in three classes: irreducible representations with single multiplicities, irreducible representations with the multiplicities larger than one, and indecomposable representations.
01 Mar 1991
TL;DR: In this paper, the coagulation rate of a dilute polydisperse suspension of small particles is considered for large Peclet number, P ij, which provides a measure of the ratio of the relative gravity-induced motion to Brownian motion between two rigid spheres.
Abstract: The coagulation rate of a dilute polydisperse suspension of small particles is considered for large Peclet number, P ij , which provides a measure of the ratio of the relative gravity-induced motion to Brownian motion between two rigid spheres. In particular, a two-term expansion for the dimensionless coagulation rate (capture efficiency) as function of inverse Peclet number has been developed by using a regular perturbation method. It is found that Brownian diffusion can act to decrease the coagulation rate. Therefore, the additivity assumption is not valid in this regime.