Transactions of the American Mathematical Society

Author(s): Anton Malkin
Journal: Trans. Amer. Math. Soc. 354 (2002), 675-704.
MSC (2000): Primary 20G99, 14M15
Posted: October 3, 2001
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Abstract: A geometric theory of tensor product for $\mathfrak{gl}_{N}$ -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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20G99, 14M15

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: 10.1090/S0002-9947-01-02899-9
PII: S 0002-9947(01)02899-9
Received by editor(s): March 7, 2001
Posted: October 3, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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