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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"
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.
DOI:
https://doi.org/10.4213/sm7840
 Full text:
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English version:
Sbornik: Mathematics, 2012, 203:4, 500–513
Bibliographic databases:
     
UDC:
512.743+512.745
MSC: 14R20, 20G05
Received: 30.12.2010 and 01.07.2011
Citation:
A. B. Anisimov, “On stability of diagonal actions and tensor invariants”, Mat. Sb., 203:4 (2012), 47–60; Sb. Math., 203:4 (2012), 500–513
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/msb7840https://doi.org/10.4213/sm7840 http://mi.mathnet.ru/eng/msb/v203/i4/p47
Citing articles on Google Scholar:
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A. Kaid, R. Kasprowitz, “Semistable vector bundles and Tannaka duality from a computational point of view”, Exp. Math., 21:2 (2012), 171–188
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R. Kasprowitz, “Algebraic monodromy groups of vector bundles on $p$-adic curves”, J. Reine Angew. Math., 681 (2013), 83–99
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