From the 1 of 9 linked papers with an AI index.
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Type Webs
Elijah Bodish, Ben Elias, David E. V. Rose
The authors construct a pivotal category of type B webs and prove it is equivalent to the subcategory of finite‑dimensional representations of the quantum group U_q(so_{2n+1}) gene…
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…
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…
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…
Webs for the Quantum Orthogonal Group
Elijah Bodish, Haihan Wu
We give a generators and relations presentation for the full monoidal subcategory of representations of the quantum orthogonal group generated by the quantum exterior powers of the…
On a symplectic quantum Howe duality
Elijah Bodish, Daniel Tubbenhauer
We prove a nonsemisimple quantum version of Howe's duality with the rank 2n symplectic and the rank 2 special linear group acting on the exterior algebra of type C. We also discuss…