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Conjugacy Classes and Nilpotent Variety of a Reductive Monoid
Published online by Cambridge University Press: 20 November 2018
Abstract
We continue in this paper our study of conjugacy classes of a reductive monoid $M$. The main theorems establish a strong connection with the Bruhat-Renner decomposition of $M$. We use our results to decompose the variety ${{M}_{\text{nil}}}$ of nilpotent elements of $M$ into irreducible components. We also identify a class of nilpotent elements that we call standard and prove that the number of conjugacy classes of standard nilpotent elements is always finite.
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- Copyright © Canadian Mathematical Society 1998
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