Tensor product varieties and crystals: case

Author:
Anton Malkin

Journal:
Trans. Amer. Math. Soc. **354** (2002), 675-704

MSC (2000):
Primary 20G99, 14M15

DOI:
https://doi.org/10.1090/S0002-9947-01-02899-9

Published electronically:
October 3, 2001

MathSciNet review:
1862563

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A geometric theory of tensor product for -crystals is described. In particular, the role of Spaltenstein varieties in the tensor product is explained, and thus a direct (non-combinatorial) proof of the fact that the number of irreducible components of a Spaltenstein variety is equal to a Littlewood-Richardson coefficient (i.e. certain tensor product multiplicity) is obtained.

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Additional Information

**Anton Malkin**

Affiliation:
Department of Mathematics, Yale University, P.O. Box 208283, New Haven, Connecticut 06520-8283

Address at time of publication:
Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307

Email:
malkin@math.mit.edu

DOI:
https://doi.org/10.1090/S0002-9947-01-02899-9

Received by editor(s):
March 7, 2001

Published electronically:
October 3, 2001

Article copyright:
© Copyright 2001
American Mathematical Society