On the nullcone of representations of reductive groups

Kraft, Hanspeter and Wallach, Nolan. (2006) On the nullcone of representations of reductive groups. Pacific Journal of Mathematics, 224 (1). pp. 119-140.

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We study the geometry of the nullcone N(V^k) for several copies of a representation V of a reductive group G and its behavior for different k. We show that for large k there is a certain 'stability' with respect to the irreducible components. In the case of the so-called theta-representations, this can be made more precise by using the combinatorics of the weight system as a subset of the root system. All this finally allows to calculate explicitly and in detail a number of important examples, e.g. the cases of 3- and 4-qubits which play a fundamental role in quantum computing.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Algebra (Kraft)
UniBasel Contributors:Kraft, Hanspeter
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:University of California
Note:Publication type according to Uni Basel Research Database: Journal article
edoc DOI:
Last Modified:06 Nov 2017 11:26
Deposited On:08 Jun 2012 06:48

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