منابع مشابه
Degenerate Principal Series of Metaplectic Groups and Howe Correspondence
The main purpose of this article is to supplement the authors’ results on degenerate principal series representations of real symplectic groups with the analogous results for metaplectic groups. The basic theme, as in the previous case, is that their structures are anticipated by certain natural subrepresentations constructed from Howe correspondence. This supplement is necessary as these repre...
متن کاملMetaplectic Ice
Abstract. We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of ...
متن کاملMetaplectic Ice Accessed Terms of Use Detailed Terms Metaplectic Ice
We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local field using lattice models from statistical mechanics. An explicit description of this Whittaker function was given in terms of Gelfand-Tsetlin patterns in [5, 17], and we translate this description into an expression of the values of the Whittaker function as partition functions of a sixverte...
متن کاملBlock-compatible metaplectic cocycles
has cardinality r ≥ 1. Let G be the F-rational points of a simple Chevalley group defined over F. In his thesis, Matsumoto [5] gave a beautiful construction for the metaplectic cover G̃ of G, a central extension of G by μr(F) whose existence is intimately connected with the deep properties of the r-th order Hilbert symbol (·, ·)F : F × × F → μr(F). Metaplectic groups figure prominently in the st...
متن کاملMetaplectic-c Quantomorphisms
In the classical Kostant–Souriau prequantization procedure, the Poisson algebra of a symplectic manifold (M,ω) is realized as the space of infinitesimal quantomorphisms of the prequantization circle bundle. Robinson and Rawnsley developed an alternative to the Kostant–Souriau quantization process in which the prequantization circle bundle and metaplectic structure for (M,ω) are replaced by a me...
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ژورنال
عنوان ژورنال: Publications mathématiques de l'IHÉS
سال: 1986
ISSN: 0073-8301,1618-1913
DOI: 10.1007/bf02699192