2017/01/31 by Antonio Sartori, Daniel Tubbenhauer
Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Quantum #Symplectic geometry #Symplectic representation #Type (biology) #math.QA #math.RT
paper · pdf · doi:10.1090/tran/7583
published as Trans. Amer. Math. Soc. 371 (2019), no. 10, 7387-7431 · 40 pages, many figures, revised version, comments welcome, to appear in Trans. Amer. Math. Soc
openalex created_date 2017/01/26 · arxiv created 2018/04/03 · openalex publication_date 2018/04/18 · arxiv updated 2020/11/17 · openalex updated_date 2026/08/05
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.