期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (4)
We prove that, in case A(c) = the FRT construction of a braided vector space (V, c) admits a weakly Frobenius algebra B (e.g. if the braiding is rigid......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
The algebraic variety defined by the idempotents of an incidence monoid is investigated. Its irreducible components are determined. The intersection w......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
This work is part of the overarching question of whether it is possible for the universal enveloping algebra of an infinite-dimensional Lie algebra to......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (6)
The affine Temperley-Lieb algebra aTL(N)(beta) is an infinite-dimensional algebra over C parametrized by a number beta is an element of C and an integ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (6)
Littlewood-Richardson rule gives the expansion formula for decomposing a product of two Schur functions as a linear sum of Schur functions, while the ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; ()
In this article the quantized matrix algebras as in the title have been studied at a root of unity. A full classification of simple modules over such ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
In this paper, we study the free commutative non-unital Rota-Baxter algebra which is the algebra of polynomials in one variable without constant term ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
We introduce the N = 2 Lie conformal superalgebras k(p) of Block type, and classify their finite irreducible conformal modules for any nonzero paramet......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (2)
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (3)
A description of tilting complexes is given for a class of PI algebras whose prime spectrum is canonically homeomorphic to the prime spectrum of its c......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
We present a combinatorial model, called perforated tableaux, to study A(n- 1) crystals, unifying several previously studied combinatorial models. We ......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
Using the bases of principal subspaces for twisted affine Lie algebras except A(2l)((2)) by Butorac and Sadowski, we construct bases of the highest we......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (5)
We study the problem of classification of simple transitive 2-representations for the (non-finitary) 2-category of bimodules over the dual numbers. We......
期刊： ALGEBRAS AND REPRESENTATION THEORY, 2023; 26 (6)
We consider generalized homogeneous roofs, i.e. quotients of simply connected, semisimple Lie groups by a parabolic subgroup, which admit two projecti......
