Invariant differential operators for quantum symmetric spaces. Memoirs of the American Mathematical Society; 903.

Letzter, Gail

ISBN 10: 0821841319 ISBN 13: 9780821841310
Published by Providence, American Mathematical Society, 2008
Used Softcover

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Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00359 9780821841310 Sprache: Englisch Gewicht in Gramm: 150. Seller Inventory # 2482869

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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.

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Bibliographic Details

Title: Invariant differential operators for quantum...
Publisher: Providence, American Mathematical Society
Publication Date: 2008
Binding: Softcover
Condition: Gut

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