Gelfand–Kirillov dimension of some simple unitarizable modules

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.

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Bibliographic Details
Published in:Journal of algebra 2018-11, Vol.514, p.199-218, Article 199
Main Authors: Chakraborty, Partha Sarathi, Saurabh, Bipul
Format: Article
Language:English
Subjects:
Gelfand Kirillov dimension
Quantum groups
Simple unitarizable modules
Weyl group
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Summary: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.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2018.08.007