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| Main Author: | |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2108.12766 |
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| _version_ | 1866911936858292224 |
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| author | Albion, Seamus P. |
| author_facet | Albion, Seamus P. |
| contents | We prove a novel pair of Littlewood identities for Schur functions, recently conjectured by Lee, Rains and Warnaar in the Macdonald case, in which the sum is over partitions with empty 2-core. As a byproduct we obtain a new Littlewood identity in the spirit of Littlewood's original formulae. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_12766 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar Albion, Seamus P. Combinatorics 05E05, 33D05, 33D52 We prove a novel pair of Littlewood identities for Schur functions, recently conjectured by Lee, Rains and Warnaar in the Macdonald case, in which the sum is over partitions with empty 2-core. As a byproduct we obtain a new Littlewood identity in the spirit of Littlewood's original formulae. |
| title | Proof of some Littlewood identities conjectured by Lee, Rains and Warnaar |
| topic | Combinatorics 05E05, 33D05, 33D52 |
| url | https://arxiv.org/abs/2108.12766 |