A Fitting Lemma for Z/2-graded modules
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Rings and Algebras
Representation Theory
Abstract
We study the annihilator of the cokernel of a map of free Z/2-graded modules over a Z/2-graded skew-commutative algebra in characteristic 0 and define analogues of its Fitting ideals. We show that in the ``generic'' case the annihilator is given by a Fitting ideal, and explain relations between the Fitting ideal and the annihilator that hold in general. Our results generalize the classical Fitting Lemma, and extend the key result of Green [1999]. They depend on the Berele-Regev theory of representations of general linear Lie super-algebras.
Cite
@article{arxiv.math/0202227,
title = {A Fitting Lemma for Z/2-graded modules},
author = {David Eisenbud and Jerzy Weyman},
journal= {arXiv preprint arXiv:math/0202227},
year = {2007}
}
Comments
14 pages Plain TeX; uses diagrams.tex