期刊： ALGEBRAS AND REPRESENTATION THEORY, ; ()
In this paper, we study a category of restricted modules for the Ovsienko-Roger algebra, which is an extension of the Virasoro algebra of its tensor d......
期刊： ALGEBRAS AND REPRESENTATION THEORY, ; ()
We construct a family of representations of a central extension of loop group and affine Lie algebra for sln and study their relations with highest we......
期刊： ALGEBRAS AND REPRESENTATION THEORY, ; ()
Let g be a complex contragredient Lie superalgebra, and let D be its distinguished extended Dynkin diagram. Let Aut(g) be the automorphism group of g,......
期刊： ALGEBRAS AND REPRESENTATION THEORY, ; ()
We first prove an analogue of Lagrange theorem for global dimensions of fusion categories, then we give a complete classifications of pre-modular fusi......
期刊： ALGEBRAS AND REPRESENTATION THEORY, ; ()
In this paper, we study a class of infinite simple Lie conformal algebras associated to a class of generalized Block type Lie algebras. The central ex......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (2)
Let G be a connected reductive algebraic group over a field of positive characteristic p and denote by T the category of tilting modules for G. The hi......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (2)
Glider representations can be defined for a finite algebra filtration FKG determined by a chain of subgroups 1 subset of G(1) subset of horizontal ell......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (3)
In Jensen and Su (J. Pure Appl. Algebra 219(2), 277-307 2014) constructed 0-Schur algebras, using double flag varieties. The construction leads to a p......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (3)
Let A be an abelian category having enough projective objects and enough injective objects. We prove that if A admits an additive generating object, t......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (4)
We construct a matrix algebra ?(A,B) from two given finite dimensional elementary algebrasAandBand give some sufficient conditions onAandBunder which ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (4)
A general necessary and sufficient condition is obtained for a Kac module of the quantum general linear superalgebra to be simple. More explicit condi......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (4)
We explore the modular representation theory of affine and cyclotomic Yokonuma-Hecke algebras. We provide an equivalence between the category of finit......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (4)
In this paper, we first obtain a general result on sufficient conditions for tensor product modules to be simple over an arbitrary Lie algebra. We cla......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (4)
This paper presents the definition of the cotwists of a bicomonad, which offers a generalization of cotwists of bimonoids in duoidal categories. We sh......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2020; 23 (1)
For algebras with radical square zero, we give a combinatorial description to the Tate-Hochschild cohomology. We compute the Gerstenhaber algebra stru......
