All SL(3,R) ladder representations

1990 ◽  
Vol 31 (8) ◽  
pp. 1872-1876 ◽  
Author(s):  
Dj. Šijački
Keyword(s):  
Ladder Representations

scholarly journals Intertwining ladder representations for SU(p, q) into Dolbeault cohomology

2004 ◽  
pp. 395-418
Author(s):  
John D. Lorch ◽  
Lisa A. Mantini ◽  
Jodie D. Novak
Keyword(s):  
Dolbeault Cohomology ◽  
Ladder Representations

scholarly journals Models of Representations and Langlands Functoriality

2019 ◽  
Vol 72 (3) ◽  
pp. 676-707 ◽  
Author(s):  
Arnab Mitra ◽  
Eitan Sayag
Keyword(s):  
Base Change ◽  
General Linear ◽  
Linear Groups ◽  
General Linear Groups ◽  
Whittaker Model ◽  
Automorphic Induction ◽  
Ladder Representations ◽  
Langlands Functoriality ◽  
Whittaker Models

AbstractIn this article we explore the interplay between two generalizations of the Whittaker model, namely the Klyachko models and the degenerate Whittaker models, and two functorial constructions, namely base change and automorphic induction, for the class of unitarizable and ladder representations of the general linear groups.

scholarly journals An integral transform in L2-cohomology for the ladder representations of U(p, q)

1985 ◽  
Vol 60 (2) ◽  
pp. 211-242 ◽  
Author(s):  
Lisa A Mantini
Keyword(s):  
Integral Transform ◽  
L2 Cohomology ◽  
Ladder Representations

Jacquet modules of ladder representations

2012 ◽  
Vol 350 (21-22) ◽  
pp. 937-940 ◽  
Author(s):  
Arno Kret ◽  
Erez Lapid
Keyword(s):  
Ladder Representations

Irreducibility of the Ladder Representations ofU(2, 2) when Restricted to the Poincaré Subgroup

1969 ◽  
Vol 10 (11) ◽  
pp. 2078-2085 ◽  
Author(s):  
G. Mack ◽  
I. Todorov
Keyword(s):  
Ladder Representations

Coupling problem for U(p, q) ladder representations. I

1968 ◽  
Vol 302 (1471) ◽  
pp. 491-500 ◽  
Keyword(s):  
Tensor Product ◽  
Coupling Problem ◽  
Global Properties ◽  
Ladder Representations

In this paper we consider the local and the global properties of ladder representations. Then we investigate several properties of the tensor product of two ladder representations and in particular we present the Clebsch-Gordan coefficients for the ladder representations of the U (1, 1) group.

Quantum deformation of the ladder representations of U(1,1) for ‖q‖=1

1992 ◽  
Vol 33 (12) ◽  
pp. 4255-4258 ◽  
Author(s):  
Paolo Furlan ◽  
Ludmil K. Hadjiivanov ◽  
Ivan T. Todorov
Keyword(s):  
Quantum Deformation ◽  
Ladder Representations

Coupling problem for U(p, q) ladder representations. II. Limitations on the coupling of U(p, q) ladders

1968 ◽  
Vol 302 (1471) ◽  
pp. 501-508 ◽  
Keyword(s):  
Tensor Product ◽  
Coupling Problem ◽  
Type Interaction ◽  
Interaction Term ◽  
Ladder Representations

It is shown that for any assignment of the physical multiplets to U(p, p) ladders consistent with the U (6, 6) type of particle conjugation, the tensor product of two physical ladders does not contain any ladder. Therefore, it is impossible to construct an invariant Yukawa-type interaction term.

scholarly journals Decomposition Rules for the Ring of Representations of Non-Archimedean GLn

2019 ◽  
Vol 2020 (20) ◽  
pp. 6815-6855 ◽  
Author(s):  
Maxim Gurevich
Keyword(s):  
Finite Length ◽  
General Rule ◽  
Irreducible Representations ◽  
Schubert Varieties ◽  
Necessary Condition ◽  
Composition Series ◽  
Grothendieck Ring ◽  
Parabolic Induction ◽  
Multiplicity One ◽  
Ladder Representations

Abstract Let $\mathcal{R}$ be the Grothendieck ring of complex smooth finite-length representations of the sequence of p-adic groups $\{GL_n(F)\}_{n=0}^\infty $, with multiplication defined through parabolic induction. We study the problem of the decomposition of products of irreducible representations in $\mathcal{R}$. We obtain a necessary condition on irreducible factors of a given product by introducing a width invariant. Width $1$ representations form the previously studied class of ladder representations. We later focus on the case of a product of two ladder representations, for which we establish that all irreducible factors appear with multiplicity one. Finally, we propose a general rule for the composition series of a product of two ladder representations and prove its validity for cases in which the irreducible factors correspond to smooth Schubert varieties.

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