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Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup ePub download

by Yasuro Gon

  • Author: Yasuro Gon
  • ISBN: 0821827634
  • ISBN13: 978-0821827635
  • ePub: 1195 kb | FB2: 1289 kb
  • Language: English
  • Category: Science & Mathematics
  • Publisher: Amer Mathematical Society (February 1, 2002)
  • Rating: 4.3/5
  • Votes: 389
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Generalized Whittaker Functions on $SU(2,2)$ with Respect to the Siegel Parabolic Subgroup ePub download

Go to book description Print multiple pages. You have printed 0 times in the last 24 hours. The stabilizer of £. We describe 3-dimensional Lie subalge- bra su(£) Lie(SU(£)) of g. If S is a subgroup of G, we denote it by S in realization G2, (see (2))

Go to book description Print multiple pages. Your print count will reset on at. You may print 0 more time(s) before then. If S is a subgroup of G, we denote it by S in realization G2, (see (2)). Define the map a by a:SU(0'3(9 trA~geGL(2,C). Then a(SU(0') {ge SLQXWgHsg H;}, and Lie{. a(SU(Z)')) {X e sl(2, C) 'XH^ + HtX 0}. LEMMA . For £ I 1 1 such that c2 ^ 0 and detH^ ^ 0, Put 1 ° ) 7 -,/ZT 7 2^7 -1 J' Z 2 " V M ^(det^-T 2 ) -7 ^ " ( ^ ( d e t ^ + f ) 7C2J- 10) T/ien we can take {Z, Z2, Z%} as a basis of Lie(a(SU'(£.

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Book Series Name: Memoirs of the American Mathematical Society.

Yasuro Gon. We obtain an explicit formula for generalized Whittaker functions and multiplicity one theorem for all discrete series representations of (SU(2,2)). Base Product Code Keyword List: memo; MEMO; memo/155; MEMO/155; memo-155; MEMO-155; memo/155/738; MEMO/155/738; memo-155-738; MEMO-155-738. Book Series Name: Memoirs of the American Mathematical Society.

So we introduce a certain larger group R (See Sect

CHAPTER 1 Introduction 1. Introduction In this article we study generalized Whittaker functions on G - SU{2, 2), the special unitary group of signature (2+, 2-), with respect to the Siegel parabolic subgroup P$. The subgroup Ps is a maximal parabolic subgroup with abelian unipotent radical Af. So we introduce a certain larger group R (See Sect. for definition) containing N$. A generalized Whittaker model for an admissible representation TT of G is a realization of TT in the induced module from a closed subgroup which contains Ns- This induced module is a typical example of the reduced generalized Gelfand-Graev representation.

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Series Representation. Generalized Functions. url?scp 0036336984&partnerID 8YFLogxK. U2 - 1. 090/memo/0738. DO - 1.

We define p-adic generalized Whittaker functions for the Siegel parabolic subgroup of G, which naturally appear as the Euler .

We define p-adic generalized Whittaker functions for the Siegel parabolic subgroup of G, which naturally appear as the Euler factors of the Fourier coefficients of the Eisenstein series for the Borel subgroup of G. We will show an explicit formula and estimate its Euler product. On principal series Whittaker functions on Sp(2,Sp(2,R). Whittaker functions belonging to an irreducible principal series representation of SU(2,2) satisfy the system of differential equations and furthermore this system becomes holonomic when the dimension of a minimal K-type of the representation is one or two. View.

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Generalized Whittaker functions on SU(2,2) with respect to the Siegel parabolic subgroup, Yasuro Gon. PUBLISHER: Providence, RI : American Mathematical Society, 2001. Alexopoulos, Georgios . 1962-. TITLE: Sub-Laplacians with drift on Lie groups of polynomial volume growth, Georgios K. Alexopoulos. PUBLISHER: Providence, . American Mathematical Society, 2002.

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