Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493386 | Journal of Algebra | 2005 | 28 Pages |
Abstract
Let Md(k) denote the space of (dÃd)-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [Md(k)]t equipped with the action of the general linear group GLd(k) by simultaneous conjugation. We show that X is regular at any point y such that the orbit of y has codimension one in X. The proof uses mainly the representation theory of associative algebras.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Grzegorz Zwara,