Gelfand–Kirillov dimension of some simple unitarizable modules

Authors

Partha Sarathi Chakraborty, Indian Statistical Institute, Kolkata
Bipul Saurabh, Harish Chandra Research Institute

Article Type

Research Article

Publication Title

Journal of Algebra

Abstract

Let Oq(G) be the quantized algebra of regular functions on a semisimple simply connected compact Lie group G. Simple unitarizable left Oq(G)-module are classified. In this article we compute their Gelfand–Kirillov dimension where G is of the type A, C and D.

First Page

199

Last Page

218

DOI

10.1016/j.jalgebra.2018.08.007

Publication Date

11-15-2018

Comments

All Open Access, Green

Recommended Citation

Chakraborty, Partha Sarathi and Saurabh, Bipul, "Gelfand–Kirillov dimension of some simple unitarizable modules" (2018). Journal Articles. 1159.
https://digitalcommons.isical.ac.in/journal-articles/1159