On the Combinatorial Core of Second-Order Quantum Argument Shifts in $U\mathfrak{gl}_d$
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916982406774784 |
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| author | Ikeda, Yasushi |
| author_facet | Ikeda, Yasushi |
| contents | We provide a complete, self-contained proof that reduces second-order generators of the quantum argument-shift algebra in the universal enveloping algebra $U\mathfrak{gl}_d$. We prove the necessary combinatorial identities -- expressed as relations among polynomials with rational coefficients -- by induction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_00616 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Combinatorial Core of Second-Order Quantum Argument Shifts in $U\mathfrak{gl}_d$ Ikeda, Yasushi Quantum Algebra We provide a complete, self-contained proof that reduces second-order generators of the quantum argument-shift algebra in the universal enveloping algebra $U\mathfrak{gl}_d$. We prove the necessary combinatorial identities -- expressed as relations among polynomials with rational coefficients -- by induction. |
| title | On the Combinatorial Core of Second-Order Quantum Argument Shifts in $U\mathfrak{gl}_d$ |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2510.00616 |