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

2017/09/26 by Partha Sarathi Chakraborty, Bipul Saurabh, Chakraborty, Partha Sarathi +1 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1709.09540

Abstract

Let G_q be the q-deformation of a simply connected simple compact Lie group G of type A, C or D and O_q(G) be the algebra of regular functions on G_q. In this article, we prove that the Gelfand-Kirillov dimension of O_q(G) is equal to the dimension of real manifold G.

Cited by

• Gelfand-Kirillov dimension of cosemisimple Hopf algebras

Related

• Gelfand-Kirillov dimension of some simple unitarizable modules
• Computation of Gelfand-Kirillov dimension for B-type structures
• Dimension growth and Gelfand-Kirillov dimension of representations of quantum groups
• Gelfand-Kirillov dimensions of simple modules over twisted group algebras k ∗ A
• Polynomial growth of discrete quantum groups, topological dimension of the dual and *-regularity of the Fourier algebra