Affine Pieri rule for periodic Macdonald spherical functions and fusion rings

J.F. van Diejen, E. Emsiz, I.N. Zurrián

Research output: Contribution to journalArticleScientificpeer-review

4 Downloads (Pure)

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 languageEnglish
Article number108027
Pages (from-to)1-30
Number of pages30
JournalAdvances in Mathematics
Volume392
DOIs
Publication statusPublished - 2021

Keywords

  • Macdonald spherical functions
  • Affine Hecke algebras
  • Affine Lie algebras
  • Wess-Zumino-Witten fusion rings

Fingerprint

Dive into the research topics of 'Affine Pieri rule for periodic Macdonald spherical functions and fusion rings'. Together they form a unique fingerprint.

Cite this