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Sbornik: Mathematics, 2012, Volume 203, Issue 4, Pages 500–513
DOI: https://doi.org/10.1070/SM2012v203n04ABEH004231 (Mi sm7840) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On stability of diagonal actions and tensor invariants

A. B. Anisimovab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b National Research University "Higher School of Economics"
English version PDF (328 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2012v203n04ABEH004231
Abstract: For a connected simply connected semisimple algebraic group $G$ we prove the existence of invariant tensors in certain tensor powers of rational $G$-modules and establish relations between the existence of such invariant tensors and stability of diagonal actions of $G$ on affine algebraic varieties.
Bibliography: 12 titles.
Keywords: stable action, Weyl group, balanced collection.
Received: 30.12.2010 and 01.07.2011
Bibliographic databases:
Document Type: Article
UDC: 512.743+512.745
MSC: 14R20, 20G05
Language: English
Original paper language: Russian
Citation: A. B. Anisimov, “On stability of diagonal actions and tensor invariants”, Sb. Math., 203:4 (2012), 500–513
Citation in format AMSBIB
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\paper On stability of diagonal actions and tensor invariants
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  • https://doi.org/10.1070/SM2012v203n04ABEH004231
  • https://www.mathnet.ru/eng/sm/v203/i4/p47
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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