Generalizations of the standard Artin representation are unitary.
Abdulrahim, Mohammad N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Abdulrahim, Mohammad N. (2005)
International Journal of Mathematics and Mathematical Sciences
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Abdulrahim, Mohammad N., Al-Tahan, Madline (2010)
International Journal of Mathematics and Mathematical Sciences
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Bardakov, V.G. (2005)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Bigelow, Stephen (1999)
Geometry & Topology
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Bergeron, François, Biagioli, Riccardo (2006)
The Electronic Journal of Combinatorics [electronic only]
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Li, Yongkun, Xu, Erliang, Zhang, Tianwei (2010)
Journal of Inequalities and Applications [electronic only]
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Juan González-Meneses, Bert Wiest (2004)
Annales scientifiques de l'École Normale Supérieure
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Paris, Luis (2004)
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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.