Ext spaces for general linear and symmetric groups

1991 ◽  
Vol 119 (3-4) ◽  
pp. 301-310 ◽  
Author(s):  
Stuart Martin
Keyword(s):  
Symmetric Group ◽  
Linear Group ◽  
General Linear Group ◽  
Symmetric Groups ◽  
General Linear ◽  
Simple Modules

SynopsisWe consider the links between Ext1 groups of simple modules for the symmetric group, and Ext1 of simple modules for the general linear group.

scholarly journals Branching from the General Linear Group to the Symmetric Group and the Principal Embedding

2021 ◽  
Vol 4 (2) ◽  
pp. 189-200
Author(s):  
Alexander Heaton ◽  
Songpon Sriwongsa ◽  
Jeb F. Willenbring
Keyword(s):  
Symmetric Group ◽  
Linear Group ◽  
General Linear Group ◽  
General Linear

Representations induced from the Zelevinsky segment and discrete series in the half-integral case

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Ivan Matić
Keyword(s):  
Linear Group ◽  
Local Field ◽  
General Linear Group ◽  
Discrete Series ◽  
Series Representation ◽  
General Linear ◽  
Composition Series ◽  
Induced Representations ◽  
Discrete Series Representation

AbstractLet {G_{n}} denote either the group {\mathrm{SO}(2n+1,F)} or {\mathrm{Sp}(2n,F)} over a non-archimedean local field of characteristic different than two. We study parabolically induced representations of the form {\langle\Delta\rangle\rtimes\sigma}, where {\langle\Delta\rangle} denotes the Zelevinsky segment representation of the general linear group attached to the segment Δ, and σ denotes a discrete series representation of {G_{n}}. We determine the composition series of {\langle\Delta\rangle\rtimes\sigma} in the case when {\Delta=[\nu^{a}\rho,\nu^{b}\rho]} where a is half-integral.

Sign in / Sign up

Export Citation Format

Share Document