From the 1 of 9 linked papers with an AI index.
9 papers
A Kohno--Drinfeld Theorem for iquantum Weyl groups
Elijah Bodish, Ivan Motorin
We prove that two finite-dimensional linear representations of the braid group are isomorphic. One representation comes from the monodromy of the boundary Casimir connection, and t…
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…
Decreasing subsequences and Viennot for oscillating tableaux
Elijah Bodish, Ben Elias, David E. V. Rose +1
We establish an extension of Viennot's geometric (shadow line) construction to the setting of oscillating tableaux. We then use this to give a new proof of the Type analogue of…
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…