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Showing papers in "Journal of Algebra in 2014"


Journal ArticleDOI
TL;DR: In this paper, the authors investigated various homological invariants and dimensions of the categories involved in a recollement situation, and when recollements of abelian categories induce recollements at the level of the bounded derived categories.

166 citations


Journal ArticleDOI
TL;DR: In this paper, a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-lie algebras, was introduced.

84 citations


Journal ArticleDOI
TL;DR: In this paper, the authors developed a framework for studying sequences of representations of any of the three families of classical Weyl groups, extending work of Church, Ellenberg, Farb, and Nagpal [7,8] on the symmetric groups S n to the signed permutation groups B n and D n.

72 citations


Journal ArticleDOI
TL;DR: In this article, the authors used Block's results to classify irreducible modules over the differential operator algebra C [ t, t − 1, d d t ] and used the twisting technique to construct a class of modules A b over the Virasoro algebra for any b ∈ C.

68 citations


Journal ArticleDOI
TL;DR: In this article, a new converse theorem for Borcherds multiplicative theta lift is proved, which improves the previously known results for the Weil representation, and lower bounds for the ranks of the Picard groups and the spaces of holomorphic top degree differential forms of modular varieties associated to orthogonal groups.

65 citations


Journal ArticleDOI
TL;DR: In this paper, the authors provide a self-contained account of the interrelationships between algebraic properties of varieties and properties of their free algebras and equational consequence relations.

61 citations


Journal ArticleDOI
TL;DR: In this article, the equivalence between a graph theoretic condition and various conditions concerning the structure of simple modules over the Leavitt path algebra was established, and it was shown that every primitive ideal of L K (E ) can be realized as the annihilator ideal of some Chen module.

61 citations


Journal ArticleDOI
TL;DR: In this article, the Cuntz-Krieger semigroup of the graph was shown to be the ample semigroup for a topological groupoid associated with the graph.

57 citations


Journal ArticleDOI
TL;DR: In this paper, it is proved that most well-known rational vertex operator algebras are unitary and the classification of unitary vertex operators with central charge c ⩽ 1 is discussed.

55 citations


Journal ArticleDOI
TL;DR: In this article, the authors studied the inductive blockwise Alperin weight conjecture for groups of Lie type in the generic case of abelian Sylow l-subgroups.

54 citations


Journal ArticleDOI
TL;DR: In this paper, the action of the Brauer-Picard group of a pointed fusion category on the set of Lagrangian subcategories of its center is analyzed, and the action is used to construct examples of weakly group-theoretical fusion categories.

Journal ArticleDOI
TL;DR: In this article, it was shown that the number of defining equations of the tangent cone of a numerical semigroup ring is bounded by a value depending only on the width of the semigroup.

Journal ArticleDOI
TL;DR: In this article, it was shown that a recollement of derived categories of algebras induces those of tensor product algesbras and opposite algebraes respectively, which is applied to clarify the relations between recollements of derived classes of alga and smoothness and Hochschild cohomology.

Journal ArticleDOI
TL;DR: In this paper, a list of polarizations of a supersingular K3 surface with degree 2 whose intersection number with this Fermat sextic polarization is less than or equal to 5 is given.

Journal ArticleDOI
TL;DR: The notion of Banach Jordan triple modules was introduced in this paper, and the precise conditions under which every derivation from a JB ⁎ -triple E into a Banach (Jordan) triple E-module is continuous were established.

Journal ArticleDOI
TL;DR: In this article, the authors consider the class of semihypergroups H such that all subsemihypper groups K ⊆ H are simple and, when | K | ⩾ 3 the fundamental relation β K is not transitive, they prove that hyperproducts of elements in H have size ⩽2 and the quotient semigroup H / β ⁎ is trivial.

Journal ArticleDOI
TL;DR: The connection between ribbon graphs and Brauer graphs was established in this article, where it was shown that a compact oriented surface with marked points gives rise to a unique Brauer graph algebra up to derived equivalence.

Journal ArticleDOI
TL;DR: In this paper, the weak Lefschetz property of artinian Gorenstein algebras has been studied in the context of geometric aspects of certain morphisms from P 2 to P 3, and Hesse configurations in P 2.

Journal ArticleDOI
TL;DR: In this paper, the Nakayama automorphism of A and S 2 of H when H coacts on A inner-faithfully was studied, and the connections between the automorphisms of S 2 and H were investigated.

Journal ArticleDOI
TL;DR: In this paper, the gonality of the modular curve X1(N) is computed for all points of degree ≥ 8 and upper bounds for each point of degree > 250.

Journal ArticleDOI
TL;DR: The Kumjian-Pask algebra of a higher-rank graph generalises the Leavitt path algebra of directed graphs as discussed by the authors, and it has been studied in the context of rank-2 Bratteli diagrams.

Journal ArticleDOI
TL;DR: In this paper, the authors extend the Galois covering theory introduced by Bongartz-Gabriel for skeletal linear categories to general linear categories and show that a Galois cover between Krull-Schmidt categories preserves irreducible morphisms and almost splits sequences.

Journal ArticleDOI
TL;DR: In this paper, it was shown that the splitting theorem for semisimple Leibniz algebras is not true and a condition under which they decompose into a direct sum of simple ideals is given.

Journal ArticleDOI
TL;DR: In this article, the representation rings for a family of Hopf algebras of tame type, the 2-rank Taft algebra (at q = − 1 ) and its two relatives twisted by 2-cocycles are explicitly described via a representation theoretic analysis.

Journal ArticleDOI
TL;DR: In this paper, the authors considered properties and applications of a new topology called the Zariski topology on the space SStar ( A ) of all the semistar operations on an integral domain A.

Journal ArticleDOI
TL;DR: In this article, the action of a group A on a p-group P under the condition that every noncyclic subgroup of P with order p e is stabilized by A is shown to be p-supersolvable.

Journal ArticleDOI
TL;DR: In this article, it was shown that Sylow p-subgroups of a finite group G are abelian if and only if the class sizes of the p-elements of G are all coprime to p.

Journal ArticleDOI
TL;DR: In this article, the Picard group of a monoid scheme and the class group of normal monoid schemes were studied and an ideal theory for pointed abelian noetherian monoids, including primary decomposition and discrete valuations, was developed.

Journal ArticleDOI
TL;DR: In this paper, it was shown that A is maximal commutative in the partial skew group ring if and only if A has the ideal intersection property in A*G. From this, a criterion for simplicity of A *G in terms of maximal commuttativity and G-simplicity of A was derived.

Journal ArticleDOI
TL;DR: In this article, it was shown that a p-block b of a finite group G with cyclic hyperfocal subgroup and the inertial index e has exactly e irreducible Brauer characters.