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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 (...
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作者:Tian, YL; Zhang, WP
作者单位:New York University; Nankai University
摘要:We present a direct analytic approach to the Guillemin-Sternberg conjecture [GS] that 'geometric quantization commutes with symplectic reduction', which was proved recently by Meinrenken [M1], [M2] and Vergne [V1], [V2] et al. Besides providing a new proof of this conjecture, our methods also lead immediately to further extensions in various contexts.
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作者:Tolman, S
作者单位:University of Illinois System; University of Illinois Urbana-Champaign
摘要:An important question with a rich history is the extent to which the symplectic category is larger than the Kahler category. Many interesting examples of non-Kahler symplectic manifolds have been constructed [T] [M] [G]. However, sufficiently large symmetries can force a symplectic manifolds to be Kahler [D] [Kn]. In this paper, we solve several outstanding problems by constructing the first symplectic manifold with large non-trivial symmetries which does not admit an invariant Kahler structur...
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作者:Shlapentokh, A
摘要:Let K be a number field. Let W be a set of non-archimedean primes of K, let O-K,O-W = (x is an element of K \ ord(p)x greater than or equal to 0 For All p is an element of W). Then if K is a totally real non-trivial cyclic extension of Q, there exists an infinite set W of finite primes of K such that Z and the ring of algebraic integers of K have a Diophantine definition over O-K,O-W (Thus, the Diophantine problem of O-K,O-W is undecidable.).