Invariant *-products on coadjoint orbits and the Shapovalov pairing

Alekseev, Anton; Lachowska, A.

doi:10.4171/CMH/35

Scientific article

English

Invariant *-products on coadjoint orbits and the Shapovalov pairing

ContributorsAlekseev, Anton; Lachowska, A.

Published inCommentarii mathematici Helvetici, vol. 80, no. 4, p. 795-810

Publication date2005

Abstract

We give an explicit formula for invariant *-products on a wide class of coadjoint orbits. The answer is expressed in terms of the Shapovalov pairing for generalized Verma modules.

Classification

arxiv : math.QA

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

ALEKSEEV, Anton, LACHOWSKA, A. Invariant *-products on coadjoint orbits and the Shapovalov pairing. In: Commentarii mathematici Helvetici, 2005, vol. 80, n° 4, p. 795–810. doi: 10.4171/CMH/35

Article

Identifiers

PID : unige:12223
DOI : 10.4171/CMH/35
arXiv : math/0308100v1

Journal ISSN0010-2571

679views

555downloads

Creation21/10/2010 09:28:00

First validation21/10/2010 09:28:00

Update14/03/2023 16:07:57

Status update14/03/2023 16:07:57

Last indexation29/10/2024 17:18:02

Archive ouverte UNIGE

Invariant *-products on coadjoint orbits and the Shapovalov pairing

We give an explicit formula for invariant *-products on a wide class of coadjoint orbits. The answer is expressed in terms of the Shapovalov pairing for generalized Verma modules.

Technical informations