Categorification of quantum Kac-Moody superalgebras
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- by David Hill and Weiqiang Wang PDF
- Trans. Amer. Math. Soc. 367 (2015), 1183-1216 Request permission
Abstract:
We introduce a non-degenerate bilinear form and use it to provide a new characterization of quantum Kac-Moody superalgebras of anisotropic type. We show that the spin quiver Hecke algebras introduced by Kang, Kashiwara and Tsuchioka provide a categorification of half the quantum Kac-Moody superalgebras, using the recent work of Ellis-Khovanov-Lauda. A new idea here is that a supersign is categorified as spin (i.e., the parity-shift functor).References
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Additional Information
- David Hill
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
- Email: deh4n@virginia.edu
- Weiqiang Wang
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
- MR Author ID: 339426
- Email: ww9c@virginia.edu
- Received by editor(s): February 26, 2013
- Received by editor(s) in revised form: March 11, 2013
- Published electronically: October 23, 2014
- Additional Notes: The research of the second author was partially supported by NSF grant DMS-1101268
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 1183-1216
- MSC (2010): Primary 17B37, 20J99
- DOI: https://doi.org/10.1090/S0002-9947-2014-06128-X
- MathSciNet review: 3280041