𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Characters of the Group of Upper-Triangular Matrices

✍ Scribed by Balázs Szegedy

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
110 KB
Volume
186
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Conjugacy in Groups of Upper Triangular
Conjugacy in Groups of Upper Triangular Matrices
✍ I.M Isaacs; Dikran Karagueuzian 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 140 KB

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

Automorphisms of the Lie Algebra of Uppe
Automorphisms of the Lie Algebra of Upper Triangular Matrices over a Connected Commutative Ring
✍ D.Z. Dokovic 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 276 KB

Let \(R\) be a non-trivial commutative ring having no idempotents except 0 and 1 . Denote by \(t\) the Lie algebra over \(R\) consisting of all upper triangular \(n\) by \(n\) matrices over \(R\). We give an explicit description of the automorphism group of this Lie algebra. 1994 Academic Press, Inc