CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Affine Pieri rule for periodic Macdonald spherical functions and fusion rings
Autor/es:
VAN DIEJEN, JAN FELIPE; EMSIZ, ERDAL; ZURRIÁN, IGNACIO
Revista:
ADVANCES IN MATHEMATICS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2021
ISSN:
0001-8708
Resumen:
Let ?g be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type ̂ BCn = A^(2)_2n ). We present an affine Pieri rule for a basis of periodic Macdonald spherical functions associated with ?g. In type ?An−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 ̂ sl(n)c-Wess-Zumino-Witten conformal field theories.
