Webs and 𝑞-Howe dualities in types 𝐁𝐂𝐃

Sartori, Antonio; Tubbenhauer, Daniel

doi:10.1090/tran/7583

Webs and $q$-Howe dualities in types $\mathbf {BCD}$
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by Antonio Sartori and Daniel Tubbenhauer PDF

Trans. Amer. Math. Soc. 371 (2019), 7387-7431 Request permission

Abstract:

We define web categories describing intertwiners for the orthogonal and symplectic Lie algebras and, in the quantized setup, for certain orthogonal and symplectic coideal subalgebras. They generalize the Brauer category and allow us to prove quantum versions of some classical type $\mathbf {BCD}$ Howe dualities.

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