Wreath Macdonald operators
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909784464162816 |
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| author | Orr, Daniel Shimozono, Mark Wen, Joshua Jeishing |
| author_facet | Orr, Daniel Shimozono, Mark Wen, Joshua Jeishing |
| contents | We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald $P$-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree. Our operators arise from integral formulas for the action of the horizontal Heisenberg subalgebra in the vertex representation of the corresponding quantum toroidal algebra |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03851 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Wreath Macdonald operators Orr, Daniel Shimozono, Mark Wen, Joshua Jeishing Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 17B37, Secondary: 81R10 We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald $P$-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree. Our operators arise from integral formulas for the action of the horizontal Heisenberg subalgebra in the vertex representation of the corresponding quantum toroidal algebra |
| title | Wreath Macdonald operators |
| topic | Quantum Algebra Combinatorics Representation Theory Primary: 05E05, 17B37, Secondary: 81R10 |
| url | https://arxiv.org/abs/2211.03851 |