Representations with a Reduced Null Cone

Kraft, Hanspeter and Schwarz, Gerald W.. (2014) Representations with a Reduced Null Cone. In: Symmetry: Representation Theory and Its Applications : in Honor of Nolan R. Wallach, 257. pp. 419-474.

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Let G be a complex reductive group and V a G- module. Let π: V → V/G be the quotient morphism and set N(V) = π−1(π(0)). We consider the following question. Is the null cone N (V) reduced, i.e., is the ideal of N (V) generated by G- invariant polynomials? We have complete results when G is SL2, SL3 or a simple group of adjoint type, and also when G is semisimple of adjoint type and the G-module V is irreducible.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Kraft, Hanspeter
Item Type:Conference or Workshop Item, refereed
Conference or workshop item Subtype:Conference Paper
Series Name:Progress in Mathematics
Issue Number:257
Note:Publication type according to Uni Basel Research Database: Conference paper
edoc DOI:
Last Modified:22 Feb 2018 15:53
Deposited On:20 Oct 2016 07:00

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