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math.RT2026
Quantum Satake in Type A: The General and Generic Case
Ben Elias, Koppara Philip Thomas
In work of the first author, the geometric Satake equivalence was (non-rigorously) reinterpreted as an equivalence between two algebraically-defined -categories, one built from…
math.RT2026
Type Webs
Elijah Bodish, Ben Elias, David E. V. Rose
We solve the type case of the main open problem from Kuperberg's 1996 paper "Spiders for rank 2 Lie algebras." That is, we define a -linear pivotal category $\ma…
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…