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arXiv · 1701.02932

Webs and $q$-Howe dualities in types $\mathbf{B}\mathbf{C}\mathbf{D}$

Antonio Sartori·Daniel Tubbenhauer
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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 $\mathbf{B}\mathbf{C}\mathbf{D}$ Howe dualities.

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BibTeXRIS

Antonio Sartori, Daniel Tubbenhauer. 2018-04-03. Webs and $q$-Howe dualities in types $\mathbf{B}\mathbf{C}\mathbf{D}$. https://doi.org/10.1090/tran%2F7583

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