English

Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups

Operator Algebras 2017-09-28 v1 Quantum Algebra

Abstract

Let GqG_q be the qq-deformation of a simply connected simple compact Lie group GG of type AA, CC or DD and Oq(G)\mathcal{O}_q(G) be the algebra of regular functions on GqG_q. In this article, we prove that the Gelfand-Kirillov dimension of Oq(G)\mathcal{O}_q(G) is equal to the dimension of real manifold GG.

Keywords

Cite

@article{arxiv.1709.09540,
  title  = {Gelfand-Kirillov dimension of the algebra of regular functions on quantum groups},
  author = {Partha Sarathi Chakraborty and Bipul Saurabh},
  journal= {arXiv preprint arXiv:1709.09540},
  year   = {2017}
}

Comments

15 pages. arXiv admin note: text overlap with arXiv:1709.08586