English

On infinitesimal Cherednik algebras of gl_2

Representation Theory 2008-10-14 v1 Quantum Algebra

Abstract

We prove that the center of an infinitesimal Cherednik algebra of \mfgl2\mf{gl}_2 is the polynomial algebra of two variables over the field of characteristic 0. In positive characteristic we show that any infinitesimal Cherednik algebra is a finitely generated module over its center.

Keywords

Cite

@article{arxiv.0810.2001,
  title  = {On infinitesimal Cherednik algebras of gl_2},
  author = {Akaki Tikaradze},
  journal= {arXiv preprint arXiv:0810.2001},
  year   = {2008}
}

Comments

10 pages, all comments are welcome