تقرير
Affine Pieri rule for periodic Macdonald spherical functions and fusion rings
| العنوان: | Affine Pieri rule for periodic Macdonald spherical functions and fusion rings |
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| المؤلفون: | van Diejen, Jan Felipe, Emsiz, Erdal, Zurrián, Ignacio N. |
| المصدر: | Adv. Math. 392 (2022), 108027 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematical Physics, Mathematics - Quantum Algebra, 05E05, 17B67, 33D52, 33D80, 81T40 |
| الوصف: | Let $\hat{\mathfrak{g}}$ be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type $\widehat{BC}_n=A^{(2)}_{2n}$). We present an affine Pieri rule for a basis of periodic Macdonald spherical functions associated with $\hat{\mathfrak{g}}$. In type $\hat{A}_{n-1}=A^{(1)}_{n-1}$ the formula in question reproduces an affine Pieri rule for cylindric Hall-Littlewood polynomials due to Korff, which at $t=0$ specializes in turn to a well-known Pieri formula in the fusion ring of genus zero $\widehat{\mathfrak{sl}}(n)_c$-Wess-Zumino-Witten conformal field theories. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.aim.2021.108027 |
| URL الوصول: | http://arxiv.org/abs/2305.01931 |
| رقم الأكسشن: | edsarx.2305.01931 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.aim.2021.108027 |
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