✦ LIBER ✦

Bases for Coordinate Rings of Conjugacy Classes of Nilpotent Matrices

✍ Scribed by Mark Shimozono; Jerzy Weyman

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 357 KB
Volume: 220
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7969

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✦ Synopsis

A general conjecture is given for an explicit basis of the coordinate ring of the closure of the conjugacy class of a nilpotent matrix. This conjecture is proven when the partition given by the transpose Jordan type of the nilpotent matrix is a hook or has two parts.