ar X iv : m at h / 01 03 02 6 v 2 [ m at h . A G ] 7 M ar 2 00 1 TENSOR PRODUCT VARIETIES AND CRYSTALS GL CASE
نویسنده
چکیده
A geometric theory of tensor product for glN -crystals is described. In particular, the role of Spaltenstein varieties in the tensor product is explained. As a corollary 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.
منابع مشابه
ar X iv : m at h / 01 03 02 6 v 1 [ m at h . A G ] 5 M ar 2 00 1 TENSOR PRODUCT VARIETIES AND CRYSTALS GL CASE
The role of Spaltenstein varieties in the tensor product for GL is explained. In particular 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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