๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On conjugating representations and adjoint representations of semisimple groups

โœ Scribed by S. Donkin


Publisher
Springer-Verlag
Year
1988
Tongue
English
Weight
490 KB
Volume
91
Category
Article
ISSN
0020-9910

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Closures of torus orbits in adjoint repr
โœ Jacqueline Morand ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 466 KB

Let G be a semisimple group over an algebraically closed field of characteristic 0, T c G a maximal torus and g the Lie algebra of G. Consider the adjoint representation Ad : T -GL(g). We show that all closures of torus orbits of the form Ad(T)w, for 21 E 0, are normal if and only if G contains only

Semisimplicity of Exterior Powers of Sem
โœ George J. McNinch ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

This paper answers a question posed by Jean-Pierre Serre; namely, a proof is given that if V is a semisimple finite dimensional representation of a group G over ลฝ . m a field K of characteristic p ) 0, and m dim V y mp, then H V is again a K semisimple representation of G.