Showing papers in "Advances in Mathematics in 1988"

TL;DR: Soit F un corps. Soit F 0 un sous-corps de F. On montre qu'un module integrable de poids le plus eleve V de U admet une deformation quantique as discussed by the authors.

TL;DR: In this article, the authors considered the problem of convex bodies in Euclidean n-space, where the hyperplane through the origin of the body is orthogonal to the origin.

TL;DR: In this paper, the authors consider the regles de ramification d'un representation integrable de poids le plus eleve d'une algebre affine g par rapport a sous-algebre affine p.

TL;DR: In this article, the structure theory for strongly prime Jordan algebras of arbitrary dimension was extended to quadratic algebraes of characteristic 2, and it was shown that the simple Jordan algesbras are either hermitian H 0 (A, ∗) for ∗-simple A, or clifford forms in J(Q, 1), or are albert algesbraes with a scalar extension.

TL;DR: In this article, the authors studied vector spaces of matrices, all of whose elements have rank at most a given number, and solved this problem in case the sheaf in question has first Chern class equal to 1.

TL;DR: In this paper, it was shown that the K-Lusztig representation of Sn can be constructed from tables of k-L polynomials, and that the result holds also for these graphs.

TL;DR: In this article, the isomorphism classes of ordered pairs of commuting involutorial automomorphisms of a connected reductive algebraic group defined over an algebraically closed field F of characteristic not 2 were studied.

TL;DR: The classical construction of Witt vectors can be understood as a special case of a construction which can be defined relative to any given profinite group G in terms of its (completed) Burnside ring as discussed by the authors.

TL;DR: The class of universally catenarian integral domains is defined in this paper, which is the class of integral domains that are stable under factor domains and localizations and whose members R satisfy the altitude formula and dim V ( R ) = dim( R ).

TL;DR: In this paper, it was shown that the algebraic and topological K-theory groups of stable C∗ -algebras are equal, and the algebra A ⊗ l may be regarded as a "suspension" of the more elementary C ∗--algebra A⊗ K.

TL;DR: In this article, a mapping cone construction of skew shapes has been proposed to enlarge the skew shapes to a class J containing new shapes whose corresponding Schur and Weyl modules had heretofore not been studied.

TL;DR: In this article, the pq'-p'q theory was extended to solid reticulations, formed by the intersections of three systems of equidistant parallel planes, determinants of the third order between the three coordinates of successive points.

TL;DR: Soit (W, S) as discussed by the authors is a groupe de Weyl affine irreductible, on montre que chaque cellule a droite et a gauche de W contient une cellule canonique a gazetteer.

TL;DR: Ghoussoub and Maurey as discussed by the authors showed that a non-dentable closed bounded convex subset of a Banach space has the Radon-Nikodým Property (RNP) provided it has the Convex Point of Continity Property (CPCP) and the Krein-Milman Property (KMP).

TL;DR: In this paper, a q-analog of Holman's U(n) generalization of the Gauss summation theorem was derived by iterating the mutivariable generalization.

TL;DR: In this article, the relation entre Aut(σ A ), le foncteur algebrique de K-theorie K 2 and des automorphismes de C*-algebre du type Cuntz-Kreiger associees a A et de son groupe de dimension correspondant K 0 (X A ) is investigated.

TL;DR: On calcule l'homologie de l'algebre de Lie infinie des matrices orthogonales (resp. symplectiques) for un anneau associatif a involution sur un corps de caracteristique zero as discussed by the authors.

TL;DR: Construction d'un modele de Zermelo-Fraenkel+axiome du choix (ZFC)+Hypothese du continu generalise ou le cardinal (aleph) 2 possede des proprietes de transfert descendant as mentioned in this paper.

TL;DR: In this paper, it was shown that many Henon maps are not expansive, as a consequence of Fried's theorem of the Henon map is not expansive at the same time.

TL;DR: The Giambelli identity provides a formula for expressing an arbitrary Schur function of shape λ as a determinant of Schur functions of hook shapes (l, 1k) as mentioned in this paper.

TL;DR: Developpement du calcul symbolique des puissances et de la methode des coalgebres et des comodules associee is described in this article.

TL;DR: In this paper, the authors reproved all the limit formulas for L( 1, x) in a uniform manner, using Fourier analysis on the locally compact field k, and also obtained the functional equation of L(s, x), following the results of Galovich and Rosen.

TL;DR: In this article, an ensemble caracteristique and inverse formel d'un operateur differentiel are described. And the existence of solutions holomorphes locales is investigated.

TL;DR: De Concini and Procesi as mentioned in this paper considered a symmetric space for the involution 0: G -+ G, where G is a semisimple algabraic connected group of adjoint type, and H := G8 be the subgroup of fix-points of 8.