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Frobenius nil-Hecke
algebras
Alistair Savage and John Stuart |
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Vol. 311 (2021), No. 2, 455–473
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Abstract |
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To any Frobenius superalgebra we associate towers of Frobenius nil-Coxeter algebras and Frobenius nil-Hecke algebras. These act naturally, via Frobenius divided difference operators, on Frobenius polynomial algebras. When is the ground ring, our algebras recover the classical nil-Coxeter and nil-Hecke algebras. When is the two-dimensional Clifford algebra, they are Morita equivalent to the odd nil-Coxeter and odd nil-Hecke algebras. |
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Keywords
nilCoxeter algebra, nilHecke algebra, Frobenius algebra,
divided difference operator, Demazure operator
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Mathematical Subject Classification
Primary: 20C08
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Milestones
Received: 25 August 2020
Accepted: 27 January 2021
Published: 31 July 2021
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Authors |
| Alistair Savage | |
| Department of Mathematics and
Statistics University of Ottawa Ottawa, ON Canada |
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| John Stuart | |
| Department of Mathematics and
Statistics University of Ottawa Ottawa, ON Canada |
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