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BRAID GROUP ACTIONS FROM CATEGORICAL SYMMETRIC HOWE DUALITY ON DEFORMED WEBSTER ALGEBRAS

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Abstract

We construct a 2-representation categorifying the symmetric Howe representation of 𝔤𝔩m using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy category.

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Authors and Affiliations

  1. Department of Mathematics, Columbia University, New York, NY, USA

    M. KHOVANOV

  2. Department of Mathematics, University of Southern California, Los Angeles, CA, USA

    A. D. LAUDA

  3. Department of Mathematics, CUNY Medgar Evers, Brooklyn, NY, USA

    J. SUSSAN

  4. Graduate school of Mathematics, Nagoya University, Nagoya, Japan

    Y. YONEZAWA

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  1. M. KHOVANOV
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  2. A. D. LAUDA
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  3. J. SUSSAN
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  4. Y. YONEZAWA
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Correspondence to J. SUSSAN.

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KHOVANOV, M., LAUDA, A.D., SUSSAN, J. et al. BRAID GROUP ACTIONS FROM CATEGORICAL SYMMETRIC HOWE DUALITY ON DEFORMED WEBSTER ALGEBRAS. Transformation Groups 27, 919–982 (2022). https://doi.org/10.1007/s00031-021-09669-6

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