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Moscow Mathematical Journal, 2003, Volume 3, Number 1, Pages 173–187
DOI: https://doi.org/10.17323/1609-4514-2003-3-1-173-187 (Mi mmj81) 		 
This article is cited in 18 scientific papers (total in 18 papers)

A $q$-analogue of Kempf's vanishing theorem

S. Ryom-Hansen

Department of Mathematical Sciences, University of Copenhagen
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DOI: https://doi.org/10.17323/1609-4514-2003-3-1-173-187
Abstract: We use deep properties of Kashiwara's crystal basis to show that the induction functor $H_k^0(-)$ introduced by Andersen, Polo and Wen satisfies an analogon of Kempf's vanishing theorem for k a field.
Key words and phrases: Kempf Vanishing, Quantum groups, crystal basis, $H_k^0(-)$, Demazure modules.
Received: October 16, 2001
Bibliographic databases:
MSC: 17B37, 20G42
Language: English
Citation: S. Ryom-Hansen, “A $q$-analogue of Kempf's vanishing theorem”, Mosc. Math. J., 3:1 (2003), 173–187
Citation in format AMSBIB
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\by S.~Ryom-Hansen
\paper A~$q$-analogue of Kempf's vanishing theorem
\jour Mosc. Math.~J.
\yr 2003
\vol 3
\issue 1
\pages 173--187
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\crossref{https://doi.org/10.17323/1609-4514-2003-3-1-173-187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1996807}
\zmath{https://zbmath.org/?q=an:1062.17013}
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