All SL(3,R) ladder representations

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



2019 ◽  
Vol 72 (3) ◽  
pp. 676-707 ◽  
Author(s):  
Arnab Mitra ◽  
Eitan Sayag

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.





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


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


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.



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


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.



2019 ◽  
Vol 2020 (20) ◽  
pp. 6815-6855 ◽  
Author(s):  
Maxim Gurevich

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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