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A problem on conjugacy of matrices

✍ Scribed by Moshe Roitman

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
172 KB
Volume
19
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

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We show that in the group U ‫ކ‬ , a Sylow 2-subgroup of GL ‫ކ‬ , there are elements not conjugate to their inverses if n G 13. It follows that there are irreducible characters of this group that are not real-valued, and that a conjecture of Kirillov is not correct as stated. We give a partial expla

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✍ Mark Shimozono; Jerzy Weyman 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 357 KB

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.