On parabolic Whittaker functions. II (Q424074)

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scientific article; zbMATH DE number 6039955
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On parabolic Whittaker functions. II
scientific article; zbMATH DE number 6039955

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    On parabolic Whittaker functions. II (English)
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    31 May 2012
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    The author proposes a stationary phase integral formula for the restricted \(Gr_{m,N}\)-Whittaker function \(\Psi^{(m,N)}_{\underline{\lambda}} (x,0,\dots ,0).\) He uses a generalization of the standard Whittaker model for principal series representation for \(\mathfrak{U}(\mathfrak{gl}_{N})\), and its realization in the space of totally positive unipotent matrices. For part I, cf. [the author, ``On parabolic Whittaker functions'', \url{arxiv:1011.4250}].
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    quantum cohomology
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    Whittaker model
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    stationary phase
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    toric degeneration
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