3 citations · 13 across the 20 of their papers we have counts for
20 papers
Affine and cyclotomic Brauer categorification via -Kac--Moody -categories: the half-integral type case
Mengmeng Gao, Hebing Rui, Linliang Song
Cyclotomic Brauer or cyclotomic Nazarov--Wenzl algebras arise in higher Schur--Weyl dualities involving parabolic categories for Lie algebras of types and . T…
Decomposition numbers of the cyclotomic Brauer algebra over the complex field, II
Hebing Rui, Linliang Song
Following Nazarov's suggestion, the cyclotomic Nazarov-Wenzl algebra is referred to as the cyclotomic Brauer algebra. This paper focuses on computing the decomposition numbers of t…
Representation type of higher level cyclotomic quiver Hecke algebras in affine type C
Susumu Ariki, Berta Hudak, Linliang Song +1
We determine the representation type of cyclotomic quiver Hecke algebras of affine type C. In the tame cases, we explicitly describe their basic algebras under the assumption $\tex…
Isomorphisms between simple modules of degenerate cyclotomic Hecke algebras
Hebing Rui, Linliang Song
We give explicit isomorphisms between simple modules of degenerate cyclotomic Hecke algebras defined via various cellular bases. A special case gives a generalized Mullineux involu…
Representations of Brauer category and categorification
Hebing Rui, Linliang Song
We study representations of the locally unital and locally finite dimensional algebra associated to the Brauer category with defining parameter over an…
Discriminants of quantized walled Brauer algebras
Mei Si, Linliang Song
In this paper, we compute Gram determinants associated to all cell modules of quantized walled Brauer algebras over an arbitrary field . Suppose is…
Affine Brauer category and parabolic category in types
Hebing Rui, Linliang Song
A strict monoidal category referred to as affine Brauer category is introduced over a commutative ring containing multiplicative identity and invertible elem…
Blocks of the Brauer category over the complex field
Mengmeng Gao, Hebing Rui, Linliang Song
Let be the Brauer category over the complex field with the parameter . In non-semisimple case, is an integer, and each weight space of $(\fracδ2-…
Representation type of cyclotomic quiver Hecke algebras of type
Susumu Ariki, Linliang Song, Qi Wang
We first investigate a connected quiver consisting of all dominant maximal weights for an integrable highest weight module in affine type A. This quiver provides an efficient metho…
The Jucys-Murphy basis and semisimplicty criteria for the -Brauer algebra
Hebing Rui, Mei Si, Linliang Song
We construct the Jucys-Murphy elements and the Jucys-Murphy basis for the -Brauer algebra in the sense of Mathas[11]. We also give a necessary and sufficient condition for the $…
The periplectic -Brauer category
Hebing Rui, Linliang Song
We introduce the periplectic -Brauer category over an integral domain of characteristic not . This is a strict monoidal supercategory and can be considered as a -analogue…
Representations of cyclotomic oriented Brauer categories
Mengmeng Gao, Hebing Rui, Linliang Song
Let be the locally unital algebra associated to a cyclotomic oriented Brauer category over an arbitrary algebraically closed field of characteristic . The categ…
Representations of weakly triangular categories
Mengmeng Gao, Hebing Rui, Linliang Song
A new class of locally unital and locally finite dimensional algebras over an arbitrary algebraically closed field is discovered. Each of them admits an upper finite weakly tri…
A basis theorem for the affine Kauffmann category and its cyclotomic quotients
Mengmeng Gao, Hebing Rui, Linliang Song
The affine Kauffmann category is a strict monoidal category and can be considered as a -analogue of the affine Brauer category in (Rui et al. in Math. Zeit. 293, 503-550, 2019).…
A proof of Comes-Kujawa's conjecture
MengMeng Gao, Hebing Rui, Linliang Song +1
Let be a commutative ring containing . In this paper, we prove the Comes-Kujawa's conjecture on a -basis of cyclotomic oriented Brauer-Clifford supercategory. As a b…
Affine walled Brauer-Clifford superalgebras
Mengmeng Gao, Hebing Rui, Linliang Song +1
In this paper, a notion of affine walled Brauer-Clifford superalgebras is introduced over an arbitrary integral domain containing . These superal…
Mixed Schur-Weyl duality between general linear Lie algebras and cyclotomic walled Brauer algebras
Hebing Rui, Linliang Song
Motivated by Brundan-Kleshchev's work on higher Schur-Weyl duality, we establish mixed Schur-Weyl duality between general linear Lie algebras and cyclotomic walled Brauer algebras…
Decomposition matrices of Birman-Murakami-Wenzl algebras
Hebing Rui, Linliang Song
In this paper, we calculate decomposition matrices of the Birman-Murakami-Wenzl algebras over .
Decomposition numbers of quantized walled Brauer algebras
Hebing Rui, Linliang Song
In this paper, we establish explicit relationship between decomposition numbers of quantized walled Brauer algebras and those for either Hecke algebras associated to certain symmet…
The representations of quantized walled Brauer algebras
Hebing Rui, LinLiang Song
In this paper, we give a criterion on the semisimplicity of quantized walled Brauer algebras and classify its simple modules over an arbitrary field .