Decomposing oscillator representations of by a super dual pair
Kyo Nishiyama (1991)
Compositio Mathematica
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Kyo Nishiyama (1991)
Compositio Mathematica
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Heusener, Michael, Porti, Joan (2005)
Algebraic & Geometric Topology
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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.
Krýsl, Svatopluk
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Bigelow, Stephen J., Budney, Ryan D. (2001)
Algebraic & Geometric Topology
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Yannis Y. Papageorgiou (1998)
Annales de l'institut Fourier
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We describe the branching rule from to , where the latter is embedded via its action on binary cubic forms. We obtain both a numerical multiplicity formula, as well as a minimal system of generators for the geometric realization of the rule.
Vyjayanthi Chari, Andrew Pressley (1988)
Compositio Mathematica
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