Chevalley restriction theorem for vector-valued functions on quantum groups

Author:
Martina Balagović

Journal:
Represent. Theory **15** (2011), 617-645

MSC (2010):
Primary 17B37, 20G42

DOI:
https://doi.org/10.1090/S1088-4165-2011-00408-8

Published electronically:
September 8, 2011

MathSciNet review:
2833470

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Abstract | References | Similar Articles | Additional Information

Abstract: We generalize Chevalley's theorem about restriction to the case when a semisimple Lie algebra is replaced by a quantum group and the target space of the polynomial maps is replaced by a finite dimensional representation of this quantum group. We prove that the restriction map is injective and describe the image.

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Additional Information

**Martina Balagović**

Affiliation:
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

Email:
martinab@math.mit.edu

DOI:
https://doi.org/10.1090/S1088-4165-2011-00408-8

Received by editor(s):
April 2, 2010

Received by editor(s) in revised form:
June 10, 2011

Published electronically:
September 8, 2011

Additional Notes:
This work was partially supported by the NSF grant DMS-0504847.

Article copyright:
© Copyright 2011
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.