Invariant Differential Operators for Quantum Symmetric Spaces - Couverture souple

Letzter, Gail

 
9780821841310: Invariant Differential Operators for Quantum Symmetric Spaces
Couverture souple
ISBN 10 : 0821841319 ISBN 13 : 9780821841310
Editeur : American Mathematical Society, 2008

Synopsis

This paper studies quantum invariant differential operators for quantum symmetric spaces in the maximally split case. The main results are quantum versions of theorems of Harish-Chandra and Helgason: There is a Harish-Chandra map which induces an isomorphism between the ring of quantum invariant differential operators and the ring of invariants of a certain Laurent polynomial ring under an action of the restricted Weyl group. Moreover, the image of the center under this map is the entire invariant ring if and only if the underlying irreducible symmetric pair is not of four exceptional types. In the process, the author finds a particularly nice basis for the quantum invariant differential operators that provides a new interpretation of difference operators associated to Macdonald polynomials.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2008
Langue
anglais
ISBN 10 
0821841319
ISBN 13 
9780821841310
Reliure
Broché
Nombre de pages
90
Coordonnées du fabricant
non disponible
Personne responsable
non disponible