A Lie-theoretic construction of spherical symplectic reflection algebras

Details A Lie-theoretic construction of spherical symplectic reflection algebras A Lie-theoretic construction of spherical symplectic reflection algebras

2008-01-15

arxiv.org/abs/0801.2339v3

Transformation Groups, 13 (2008), no. 3, pp. 541-556

Mathematics

Quantum Algebra

LaTeX, 17 pages, 2 figures. Final version

Scientific paper

We propose a construction of the spherical subalgebra of a symplectic reflection algebra of an arbitrary rank corresponding to a star-shaped affine Dynkin diagram. Namely, it is obtained from the universal enveloping algebra of a certain semi-simple Lie algebra by the process of quantum Hamiltonian reduction. As an application, we propose a construction of finite-dimensional representations of the spherical subalgebra.

Affiliated with

Also associated with

No associations

Rating

A Lie-theoretic construction of spherical symplectic reflection algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Lie-theoretic construction of spherical symplectic reflection algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Lie-theoretic construction of spherical symplectic reflection algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151378