Elementary Equivariant Modules

2014/10/02 by Mikhail Gudim, Gudim, Mikhail · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1410.0427

Abstract

We study equivariant modules over GL(V) over the polynomial ring R = Sym V. We introduce for every partition λ the elementary equivariant module M_λ. Then we prove that any finitely generated equivariant module admits a fltration with associated graded being the direct sum of modules of only two kinds: either M_λ or truncations of M_λ. We show that each M_λ has a linear resolution and describe also the resolution of its truncations.

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• On Cohomology of Complexes Associated with a Generic Matrix

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