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A Fitting Lemma for Z/2-graded modules by Eisenbud, David; Weyman, Jerzy is a scholarly article available to read on EtoBox.

What is A Fitting Lemma for Z/2-graded modules about?

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.

Author

Eisenbud, David; Weyman, Jerzy

Published

2002

Language

EN