11 citations · 54 across the 31 of their papers we have counts for
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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…
Decomposition numbers of cyclotomic Brauer algebras over the complex field, I
Mengmeng Gao, Hebing Rui
Following Nazarov's suggestion~\cite{Naz1}, we refer to the cyclotomic Nazarov-Wenzl algebra as the cyclotomic Brauer algebra. When the cyclotomic Brauer algebra is isomorphic to t…
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…
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…