Abstract
Let gˆ be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type BCˆn=A2n(2)). We present an affine Pieri rule for a basis of periodic Macdonald spherical functions associated with gˆ. In type Aˆn−1=An−1(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 slˆ(n)c-Wess-Zumino-Witten conformal field theories.
Original language | English |
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Article number | 108027 |
Pages (from-to) | 1-30 |
Number of pages | 30 |
Journal | Advances in Mathematics |
Volume | 392 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Affine Hecke algebras
- Affine Lie algebras
- Macdonald spherical functions
- Wess-Zumino-Witten fusion rings