3 citations · 5 across the 7 of their papers we have counts for
8 papers
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…
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).…