1312.7524Dec 29, 2013This paper constitutes what used to be those sections on the endomorphisms of Verma modules in the paper "Rational Cherednik algebras and Schubert cells" arXiv:1210.3870, in order to make the latter paper more concise. The main result has been strengthen somewhat

Endomorphisms of Verma modules for rational Cherednik algebras

Gwyn Bellamy

Representation Theory

arXiv PDF

Abstract

We study the endomorphism algebra 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 subvariaties of the generalized Calogero-Moser space. In the introduction, we motivate our results by describing them in the context of derived intersections of Lagrangians.

Briefing

What this paper is actually doing

Sign in and connect a model key to generate a briefing for this paper.

Socratic margin

Ask the abstract

Questions are grounded in the title and abstract. If the PDF is required, arXivDesk will say so.

Sign in to ask questions about this paper.