4 papers
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…
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…
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…
Spin Link Homology
Elijah Bodish, Ben Elias, David E. V. Rose
We put a new spin on Khovanov--Rozansky homology. That is, we equip -colored Khovanov--Rozansky homology with an involution whose -eigenspaces are…