Gelfand-Kirillov dimension of the quantized algebra of regular functions on homogeneous spaces
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- by Partha Sarathi Chakraborty and Bipul Saurabh PDF
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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.References
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Additional Information
- Partha Sarathi Chakraborty
- Affiliation: Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata 700010, India (On lien from Institute of Mathematical Sciences (HBNI), CIT Campus, Taramani, Chennai, 600113, India)
- MR Author ID: 670986
- Email: parthacsarathi.isi.smu@gmail.com, parthacsarathi@yahoo.co.in
- Bipul Saurabh
- Affiliation: Indian Institute of Technology, Gandhinagar, Palaj, Gandhinagar, 382355, India
- MR Author ID: 1197752
- Email: saurabhbipul2@gmail.com, bipul.saurabh@iitgn.ac.in
- Received by editor(s): January 11, 2018
- Received by editor(s) in revised form: October 12, 2018, and November 6, 2018
- Published electronically: May 8, 2019
- Additional Notes: The first author acknowledges support from Swarnajayanthi Fellowship Award Project No. DST/SJF/MSA-01/2012-13.
- Communicated by: Kailash C. Misra
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 3289-3302
- MSC (2010): Primary 16P90, 17B37, 20G42
- DOI: https://doi.org/10.1090/proc/14522
- MathSciNet review: 3981108