We give a decomposition of the actions of generalized Levi factors of a simple algebraic group on the Lie algebra of the algebraic group. แฎ 1997 Academic Press J โฃ subgroup corresponding to โฃ. Then L and L are closed connected reductive subgroups of G, L is the Levi factor of a parabolic subgroup, ห
On Some Submodules of the Action of the Symmetrical Group on the Free Lie Algebra
โ Scribed by H. Barcelo; S. Sundaram
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 540 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let E denote the natural module for the general linear group GL k n over an infinite field k of non-zero characteristic p. We consider here modules which are direct summands of the dth tensor power E md . The original motivation was to study the free Lie algebra. Let L be the d homogeneous component
Let k be an algebraically closed field and G a linear algebraic group over k acting rationally on a k-algebra V. Generalizing work of Moeglin and Rentschler in characteristic zero, we study the action of G on the spectrum of rational ideals of V. The main result is the following. Suppose that V is s