Tensor product varieties and crystals. GL case
classification
🧮 math.AG
math.COmath.RT
keywords
producttensorspaltensteinvarietiescasecertaincoefficientcomponents
read the original abstract
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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