𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Conjugacy in semisimple algebraic groups

✍ Scribed by Robert Steinberg

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
210 KB
Volume
55
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Products of Conjugacy Classes in Algebra
Products of Conjugacy Classes in Algebraic Groups, I
✍ N.L. Gordeev 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 1005 KB

Here we consider algebraic varieties which are closures of products of conjugacy classes in algebraic groups. Estimates for the dimension of such varieties are obtained. Moreover, these estimates are used in some questions of the Invariant Theory. Also, the structure of the monoid generated by the s

Unit Groups of Semisimple Group Algebras
Unit Groups of Semisimple Group Algebras of Abelianp-Groups over a Field
✍ Nako A. Nachev; Todor Zh. Mollov 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 134 KB

Let G be an abelian p-group, let K be a field of characteristic different from p, and let KG be the group algebra of G over K. In this paper we give a description Ž . Ž. of the unit group U KG of KG when i K is a field of the first kind with respect 1 Ž . to p and the first Ulm factor GrG is a direc

Semisimple Orbits of Lie Algebras and Ca
Semisimple Orbits of Lie Algebras and Card-Shuffling Measures on Coxeter Groups
✍ Jason Fulman 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 119 KB

Random walk on the chambers of hyperplane arrangements is used to define a family of card shuffling measures H W x for a finite Coxeter group W and real x = 0. By algebraic group theory, there is a map from the semisimple orbits of the adjoint action of a finite group of Lie type on its Lie algebra

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