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Abelian gradings on upper-triangular matrices

✍ Scribed by A. Valenti; M. Zaicev

Publisher: Springer
Year: 2003
Tongue: English
Weight: 86 KB
Volume: 80
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s000130300001

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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