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On the definition of
quantum Heisenberg category
Jonathan Brundan, Alistair Savage and Ben Webster |
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Vol. 14 (2020), No. 2, 275–321
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Abstract |
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We introduce a diagrammatic monoidal category which we call the quantum Heisenberg category; here, is “central charge” and and are invertible parameters. Special cases were known before: for central charge and parameters and our quantum Heisenberg category may be obtained from the deformed version of Khovanov’s Heisenberg category introduced by Licata and Savage by inverting its polynomial generator, while is the affinization of the HOMFLY-PT skein category. We also prove a basis theorem for the morphism spaces in . |
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Keywords
Heisenberg category, categorification, affine Hecke algebra
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Mathematical Subject Classification 2010
Primary: 17B10
Secondary: 18D10
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Milestones
Received: 27 January 2019
Revised: 22 July 2019
Accepted: 2 September 2019
Published: 17 March 2020
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Authors |
| Jonathan Brundan | |
| Department of Mathematics University of Oregon Eugene, OR United States |
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| Alistair Savage | |
| Department of Mathematics and
Statistics University of Ottawa ON Canada |
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| Ben Webster | |
| Department of Pure Mathematics University of Waterloo Waterloo, ON Canada |
Perimeter Institute for Theoretical
Physics Waterloo, ON Canada |
