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Bounded Littlewood Identities (Memoirs of the American Mathematical Society) - Tapa blanda

Rains, Eric M.; Warnaar, S. Ole

 
9781470446901: Bounded Littlewood Identities (Memoirs of the American Mathematical Society)
Tapa blanda
ISBN 10: 1470446901 ISBN 13: 9781470446901
Editorial: American Mathematical Society, 2021

Sinopsis

"We describe a method, based on the theory of Macdonald-Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonald's partial fraction technique and results in the first examples of bounded Littlewood identities for Macdonald polynomials. These identities, which take the form of decomposition formulas for Macdonald polynomials of type (R, S) in terms of ordinary Macdonald polynomials, are q, t-analogues of known branching formulas for characters of the symplectic, orthogonal and special orthogonal groups. In the classical limit, our method implies that MacMahon's famous ex-conjecture for the generating function of symmetric plane partitions in a box follows from the identification of GL(n,R), O(n)as a Gelfand pair. As further applications, we obtain combinatorial formulas for characters of affine Lie algebras; Rogers-Ramanujan identities for affine Lie algebras, complementing recent results of Griffin et al.; and quadratic transformation formulasfor Kaneko-Macdonald-type basic hypergeometric series"--

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Eric M. Rains, California Institute of Technology, Pasadena, CA

S. Ole Warnaar, The University of Queensland, Brisbane, Queensland, Australia

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2021
Idioma
Inglés
ISBN 10 
1470446901
ISBN 13 
9781470446901
Encuadernación
Tapa blanda
Número de páginas
115
Contacto del fabricante
no disponible
Persona responsable
no disponible