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math.RT2024
Cyclotomic nil-Brauer and Singular Soergel bimodules of type D
Elijah Bodish, Jonathan Brundan, Ben Elias
We introduce a new family of monoidal categories which are cyclotomic quotients of the nil-Brauer category. We construct a monoidal functor from the cyclotomic nil-Brauer category…
math.RT2024
Orthogonal Howe duality and dynamical (split) symmetric pairs
Elijah Bodish, Artem Kalmykov
Inspired by Etingof--Varchenko's dynamical fusion, dynamical -matrix, and dynamical Weyl group for Lie algebras, we introduce, for split symmetric pairs, versions of dynamical f…
math.RT2024★ 1 cited
Orthogonal webs and semisimplification
Elijah Bodish, Daniel Tubbenhauer
We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describ…