On the classification of irreducible low rank unitary representations of classical groups
Jian-Shu Li (1989)
Compositio Mathematica
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Jian-Shu Li (1989)
Compositio Mathematica
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H. Schlichtkrull (1984)
Mémoires de la Société Mathématique de France
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Allen Moy (1988)
Compositio Mathematica
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Dieter W. Ebner (1973)
Annales de l'I.H.P. Physique théorique
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Fedor Bogomolov, Christian Böhning, Hans-Christian Graf von Bothmer (2012)
Open Mathematics
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Let G be one of the groups SLn(ℂ), Sp2n (ℂ), SOm(ℂ), Om(ℂ), or G 2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G × ℙN is rational. In this paper we improve known bounds for the levels of stable rationality for the quotients V/G. In particular, their growth as functions of the rank of the group is linear for G being one of the classical groups.
N. Limić, J. Niederle (1968)
Annales de l'I.H.P. Physique théorique
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Shalom, Yehuda (2000)
Annals of Mathematics. Second Series
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Jürgen Rohlfs, Birgit Speh (1989)
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