Representations of Groups of Lie Type

2019 ◽  
pp. 213-255
Author(s):  
David A. Craven
Keyword(s):  
Representations Of Groups ◽  
Groups Of Lie Type

Some Geometries Associated with Parabolic Representations of Groups of Lie Type

1976 ◽  
Vol 28 (5) ◽  
pp. 1021-1031 ◽  
Author(s):  
Bruce N. Cooperstein
Keyword(s):  
Undirected Graph ◽  
Permutation Representation ◽  
Representations Of Groups ◽  
Symmetric Orbit ◽  
Multiple Edges ◽  
Groups Of Lie Type

Suppose (P, △) is an undirected graph without loops or multiple edges. We will denote by △ (x) the vertices adjacent to x and . Let (G, P) be a transitive permutation representation of a group G in a, set P, and Δ be a non-trivial self-paired (i.e. symmetric) orbit for the action of G on P X P. We identify △ with the set of all two subsets ﹛x, y﹜ with (x, y) in △. Then we have a graph (P, Δ) with G ≦ Aut (P, △), transitive on both P and △.

scholarly journals On finite degree partial representations of groups

2004 ◽  
Vol 274 (1) ◽  
pp. 309-334 ◽  
Author(s):  
M. Dokuchaev ◽  
N. Zhukavets
Keyword(s):  
Finite Degree ◽  
Representations Of Groups

Logic in representations of groups

2012 ◽  
Vol 51 (1) ◽  
pp. 1-27
Author(s):  
E. V. Aladova ◽  
A. Gvaramiya ◽  
B. Plotkin
Keyword(s):  
Representations Of Groups

scholarly journals VARIETIES OF REPRESENTATIONS OF GROUPS AND VARIETIES OF ASSOCIATIVE ALGEBRAS

2011 ◽  
Vol 21 (07) ◽  
pp. 1149-1178 ◽  
Author(s):  
ELENA ALADOVA ◽  
BORIS PLOTKIN
Keyword(s):  
General Theory ◽  
Group Representations ◽  
Associative Algebras ◽  
Open Problems ◽  
Representations Of Groups ◽  
Main Emphasis

This paper is tightly connected with the book [Varieties of Group Representations. General Theory, Connections and Applications (Zinatne, Riga, 1983) (in Russian)]. In the paper we prove new results in the spirit of the above-mentioned book. They are related to dimension subgroups, varieties of representations of groups and varieties of associative algebras. The main emphasis is put on the varieties of representations of groups induced by the varieties of associative algebras. We provide the reader with the list of open problems. For many reasons we consciously included in the text a brief review of the basic definitions and results from the theory of varieties of representations described in the book [Varieties of Group Representations. General Theory, Connections and Applications].

Unitary representations of groups, continuity and spectrum

2011 ◽  
Vol 97 (2) ◽  
pp. 157-165 ◽  
Author(s):  
Jean-Martin Paoli ◽  
Jean-Christophe Tomasi
Keyword(s):  
Unitary Representations ◽  
Representations Of Groups
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