A new realization of the cohomology of Springer fibers

2002/11/13 by Shrawan Kumar, Kumar, Shrawan, Jesper Funch Thomsen +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.AG #math.RT #msc:20B30 #msc:20G10

paper · pdf · doi:10.48550/arxiv.math/0211198

5 pages

arxiv created 2002/11/13 · arxiv updated 2009/11/30

Abstract

In this note we give a geometric realization of the cohomology of Springer fibers in type A. More precisely, we describe the cohomology by the coordinate ring of a scheme theoretic intersection of a Cartan subalgebra with a certain union of cones of nilpotent elements inside the Lie algebra of the group SL_n. As such, the main result of this note is similar to an earlier description given by de Concini and Procesi.

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