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math.RT2021
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…
math.RT2020★ 1 cited
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…
math.RT2020★ 3 cited
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).…