Degenerate Principal Series for Symplectic Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Degenerate Principal Series for Symplectic Groups PDF full book. Access full book title Degenerate Principal Series for Symplectic Groups by Chris Jantzen. Download full books in PDF and EPUB format.
Author: Chris Jantzen
Publisher: American Mathematical Soc.
ISBN: 0821825496
Category : Mathematics
Languages : en
Pages : 130
Get Book Here
Book Description
This paper is concerned with induced representations for $p$-adic groups. In particular, Jantzen examines the question of reducibility in the case where the inducing subgroup is a maximal parabolic subgroup of $Sp_{2n (F)$ and the inducing representation is one-dimensional. Two different approaches to this problem are used. The first, based on the work of Casselman and of Gustafson, reduces the problem to the corresponding question about an associated finite-dimensional representation of a certain Hecke algebra. The second approach is based on a technique of Tadi\'c and involves an analysis of Jacquet modules. This is used to obtain a more general result on induced representations, which may be used to deal with the problem when the inducing representation satisfies a regularity condition. The same basic argument is also applied in a case-by-case fashion to nonregular cases.
Author: Chris Jantzen
Publisher: American Mathematical Soc.
ISBN: 0821825496
Category : Mathematics
Languages : en
Pages : 130
Get Book Here
Book Description
This paper is concerned with induced representations for $p$-adic groups. In particular, Jantzen examines the question of reducibility in the case where the inducing subgroup is a maximal parabolic subgroup of $Sp_{2n (F)$ and the inducing representation is one-dimensional. Two different approaches to this problem are used. The first, based on the work of Casselman and of Gustafson, reduces the problem to the corresponding question about an associated finite-dimensional representation of a certain Hecke algebra. The second approach is based on a technique of Tadi\'c and involves an analysis of Jacquet modules. This is used to obtain a more general result on induced representations, which may be used to deal with the problem when the inducing representation satisfies a regularity condition. The same basic argument is also applied in a case-by-case fashion to nonregular cases.
Author: Robert Gustafson
Publisher: American Mathematical Soc.
ISBN: 0821822489
Category : Lie groups
Languages : en
Pages : 90
Get Book Here
Book Description
A series of induced representations of the symplectic group of 2[italic]n x 2[italic]n matrices over a [italic]p-adic field [italic]k is decomposed.
Author: Seung-Il Choi
Publisher:
ISBN:
Category :
Languages : en
Pages : 130
Get Book Here
Book Description
Author: Thomas Allan Farmer
Publisher:
ISBN:
Category :
Languages : en
Pages : 282
Get Book Here
Book Description
Author: Chris Jantzen
Publisher: American Mathematical Soc.
ISBN: 0821804820
Category : Mathematics
Languages : en
Pages : 114
Get Book Here
Book Description
This memoir studies reducibility in a certain class of induced representations for and , where is -adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadić, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors.
Author: Hans-Otto Walther
Publisher: American Mathematical Soc.
ISBN: 0821826026
Category : Mathematics
Languages : en
Pages : 89
Get Book Here
Book Description
See attachment.
Author: Takashi Shioya
Publisher: American Mathematical Soc.
ISBN: 082182578X
Category : Mathematics
Languages : en
Pages : 90
Get Book Here
Book Description
This monograph studies the topological shapes of geodesics outside a large compact set in a finitely connected, complete, and noncompact surface admitting total curvature. When the surface is homeomorphic to a plane, all such geodesics behave like those of a flat cone. In particular, the rotation numbers of the geodesics are controlled by the total curvature. Accessible to beginners in differential geometry, but also of interest to specialists, this monograph features many illustrations that enhance understanding of the main ideas.
Author: Jean-Pierre Gabardo
Publisher: American Mathematical Soc.
ISBN: 0821825518
Category : Mathematics
Languages : en
Pages : 111
Get Book Here
Book Description
In this work, the maximum entropy method is used to solve the extension problem associated with a positive-definite function, or distribution, defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to various logarithmic integrals depending on a complex parameter and investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and continuous cases, of Burg's maximum entropy theorem.
Author: K. R. Goodearl
Publisher: American Mathematical Soc.
ISBN: 0821825836
Category : Mathematics
Languages : en
Pages : 118
Get Book Here
Book Description
New methods are developed to describe prime ideals in skew polynomial rings [italic capital]S = [italic capital]R[[italic]y; [lowercase Greek]Tau, [lowercase Greek]Delta]], for automorphisms [lowercase Greek]Tau and [lowercase Greek]Tau-derivations [lowercase Greek]Delta] of a noetherian coefficient ring [italic capital]R.
Author: F. Thomas Farrell
Publisher: American Mathematical Soc.
ISBN: 0821825534
Category : Mathematics
Languages : en
Pages : 151
Get Book Here
Book Description
The authors' argument is a spiritual descendent of earlier work of Adler and Weiss, Sinaĭ, and Bowen, and involves a close study of triangulations. The discussion is long and technical, but the outline of the proof is sketched clearly in Section 1 for the special case of [italic]F an expanding immersion. A concluding section lists problems on hyperbolic sets, Markov partitions, and related matters; remarks on topological invariants, including the conjectured vanishing of Pontryagin classes for manifolds supporting Anosov diffeomorphisms, may be of particular interest.
