Howe duality and the quantum general linear group
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Abstract:
A Howe duality is established for a pair of quantized enveloping algebras of general linear algebras. It is also shown that this quantum Howe duality implies Jimbo’s duality between ${\mathrm U}_q({\mathfrak {gl}}_n)$ and the Hecke algebra.References
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Additional Information
- R. B. Zhang
- Affiliation: School of Mathematics and Statistics, University of Sydney, Sydney, New South Wales 2006, Australia
- Email: rzhang@maths.usyd.edu.au
- Received by editor(s): June 24, 2001
- Received by editor(s) in revised form: April 7, 2002
- Published electronically: December 30, 2002
- Communicated by: Dan M. Barbasch
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2681-2692
- MSC (2000): Primary 17B37, 20G42, 17B10
- DOI: https://doi.org/10.1090/S0002-9939-02-06892-2
- MathSciNet review: 1974323