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作者:Hwang, JM; Mok, N
作者单位:Seoul National University (SNU); University of Hong Kong
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作者:Woodward, C
作者单位:Harvard University
摘要:Multiplicity-free actions are symplectic manifolds with a very high degree of symmetry. Delzant [2] showed that all compact multiplicity-free torus actions admit compatible Kahler structures, and are therefore toric varieties. In this note we show that Delzant's result does not generalize to the non-abelian case. Our examples are constructed by applying U(2)-equivariant symplectic surgery to the flag variety U(3)/T-3. We then show that these actions fail a criterion which Tolman [9] shows is n...
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作者:Abreu, M
作者单位:Institute for Advanced Study - USA
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作者:Edidin, D; Graham, W
作者单位:University of Missouri System; University of Missouri Columbia; University System of Georgia; University of Georgia
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作者:Bertolini, M; Darmon, H
作者单位:University of Pavia; McGill University
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作者:Wassermann, A
作者单位:University of Cambridge
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作者:Pappas, G
作者单位:Princeton University
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作者:Voiculescu, D
作者单位:University of California System; University of California Berkeley
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作者:Skriganov, MM
作者单位:Russian Academy of Sciences; St. Petersburg Scientific Centre of the Russian Academy of Sciences; Steklov Mathematical Institute of the Russian Academy of Sciences; St. Petersburg Department of the Steklov Mathematical Institute of the Russian Academy of Sciences
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作者:Kobayashi, T
作者单位:University of Tokyo
摘要:Let H subset of G be real reductive Lie groups and pi an irreducible unitary representation of G. We introduce an algebraic formulation (discretely decomposable restriction) to single out the nice class of the branching problem (breaking symmetry in physics) in the sense that there is no continuous spectrum in the irreducible decomposition of the restriction pi/(H). This paper offers basic algebraic properties of discretely decomposable restrictions, especially for a reductive symmetric pair (...