Special values of $K$-theoretic Schur $P$- and $Q$-functions
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917038030585856 |
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| author | Nobukawa, Takahiko Shimazaki, Tatsushi |
| author_facet | Nobukawa, Takahiko Shimazaki, Tatsushi |
| contents | We provide the special values of the skew version of the $K$-theoretic Schur $P$- and $Q$-functions. Using these special values, we show an oddness property of the number of shifted set-valued skew tableaux. Additionally, we generalize these special values to another skew case. Based on these special values, we give pairs among certain shifted set-valued skew tableaux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_15739 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Special values of $K$-theoretic Schur $P$- and $Q$-functions Nobukawa, Takahiko Shimazaki, Tatsushi Combinatorics 05E05, 05A17, 11P81 We provide the special values of the skew version of the $K$-theoretic Schur $P$- and $Q$-functions. Using these special values, we show an oddness property of the number of shifted set-valued skew tableaux. Additionally, we generalize these special values to another skew case. Based on these special values, we give pairs among certain shifted set-valued skew tableaux. |
| title | Special values of $K$-theoretic Schur $P$- and $Q$-functions |
| topic | Combinatorics 05E05, 05A17, 11P81 |
| url | https://arxiv.org/abs/2410.15739 |