๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Quivers and the Invariant Theory of Levi Subgroups

โœ Scribed by H. Aslaksen; E.C. Tan; C.B. Zhu

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
721 KB
Volume
120
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

โœฆ Synopsis

We develop a theory of invariants using the formalism of quivers, generalizing earlier results attributed to Procesi. As an application, let (H) be the Levi component of a parabolic subgroup of a classical Lie group (G) with Lie algebra a. We describe a finite set of generators for (\mathscr{P}[\mathfrak{q}]^{H}), the space of (H)-invariant polynomials on (\mathfrak{g}), as well as the (H)-invariants in the universal enveloping algebra, (\mathscr{I}(\mathfrak{g})^{\prime \prime}), thus generalizing the results of Klink and Ton-That, and Zhu. 1994 Academic Press, Inc.

๐Ÿ“œ SIMILAR VOLUMES

Quivers, geometric invariant theory, and
Quivers, geometric invariant theory, and moduli of linear dynamical systems
โœ Markus Bader ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 358 KB

We use geometric invariant theory and the language of quivers to study compactifications of moduli spaces of linear dynamical systems. A general approach to this problem is presented and applied to two well known cases: We show how both Lomadze's and Helmke's compactification arises naturally as a g

Subgroup Theorems for the Baer-Invariant
Subgroup Theorems for the Baer-Invariant of Groups
โœ M.R.R. Moghaddam; B. Mashayekhy; S. Kayvanfar ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 193 KB

that if G is a finite group with a subgroup H of finite index n, then the nth power ลฝ . n ลฝ . of the Schur multiplier of G, M G , is isomorphic to a subgroup of M H . In this paper we prove a similar result for the centre by centre by w variety of groups, where w is any outer commutator word. Then u