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  4. Gelfand-kirillov dimension of the quantized algebra of regular functions on homogeneous spaces
 
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Gelfand-kirillov dimension of the quantized algebra of regular functions on homogeneous spaces

Source
Proceedings of the American Mathematical Society
ISSN
00029939
Date Issued
2019-01-01
Author(s)
Chakraborty, Partha Sarathi
Saurabh, Bipul  
DOI
10.1090/proc/14522
Volume
147
Issue
8
Abstract
In this article, we prove that the Gelfand-Kirillov dimension of the quantized algebra of regular functions on certain homogeneous spaces of types A, C, and D is equal to the dimension of the homogeneous space as a real differentiable manifold.
Publication link
https://www.ams.org/proc/2019-147-08/S0002-9939-2019-14522-6/S0002-9939-2019-14522-6.pdf
URI
http://repository.iitgn.ac.in/handle/IITG2025/23421
Subjects
Gelfand-Kirillov Dimension | Quantized Function Algebra | Weyl Group
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