ENDOMORPHISMS OF VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS

ENDOMORPHISMS OF VERMA MODULES FOR RATIONAL CHEREDNIK ALGEBRAS

We study the endomorphism algebras of Verma modules for rational Cherednik algebras at t = 0. It is shown that, in many cases, these endomorphism algebras are quotients of the centre of the rational Cherednik algebra. Geometrically, they define Lagrangian subvarieties of the generalized Calogero–Mos...

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Veröffentlicht in:Transformation groups 2014-09, Vol.19 (3), p.699-720
1. Verfasser: BELLAMY, G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Zusammenfassung:We study the endomorphism algebras of Verma modules for rational Cherednik algebras at t = 0. It is shown that, in many cases, these endomorphism algebras are quotients of the centre of the rational Cherednik algebra. Geometrically, they define Lagrangian subvarieties of the generalized Calogero–Moser space. In the introduction, we motivate our results by describing them in the context of derived intersections of Lagrangians.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-014-9281-x