Artículo

Affine Pieri rule for periodic Macdonald spherical functions and fusion rings

van Diejen, Jan Felipe; Emsiz, Erdal; Zurrián, Ignacio NahuelIcon
Fecha de publicación: 03/12/2021
Editorial: Academic Press Inc Elsevier Science
Revista: Advances in Mathematics
ISSN: 0001-8708
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

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.
Palabras clave: AFFINE HECKE ALGEBRAS , AFFINE LIE ALGEBRAS , MACDONALD SPHERICAL FUNCTIONS , WESS-ZUMINO-WITTEN FUSION RINGS
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution 2.5 Unported (CC BY 2.5)
Identificadores
URI: http://hdl.handle.net/11336/172581
URL: https://www.sciencedirect.com/science/article/pii/S0001870821004667?via%3Dihub
DOI: http://dx.doi.org/10.1016/j.aim.2021.108027
Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
van Diejen, Jan Felipe; Emsiz, Erdal; Zurrián, Ignacio Nahuel; Affine Pieri rule for periodic Macdonald spherical functions and fusion rings; Academic Press Inc Elsevier Science; Advances in Mathematics; 392; 3-12-2021; 1-30
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