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arxiv: 1412.7853 · v3 · pith:77TXFETXnew · submitted 2014-12-25 · 🧮 math.RT · math.RA

Schur-Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra

Michael Ehrig , Catharina Stroppel This is my paper
classification 🧮 math.RT math.RA
keywords algebrabrauerdualityortho-symplecticschur-weylsuperalgebragivemathfrak
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We give a proof of a Schur-Weyl duality statement between the Brauer algebra and the ortho-symplectic Lie superalgebra $\mathfrak{osp}(V)$.

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  1. The disoriented skein and iquantum Brauer categories

    math.QA 2025-07 unverdicted novelty 7.0

    The disoriented skein category is defined and shown equivalent to the iquantum Brauer category, serving as an interpolating module category with full incarnation functors to modules over iquantum enveloping algebras.