scholarly journals On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups

2010 ◽  
Vol 269 (3-4) ◽  
pp. 1181-1188 ◽  
Author(s):  
Jiang-Hua Lu
Keyword(s):  
Algebraic Groups ◽  
Conjugacy Classes ◽  
Dimension Formula ◽  
Twisted Conjugacy ◽  
Semisimple Algebraic Groups

scholarly journals A dimension formula relating to algebraic groups

1971 ◽  
Vol 4 (2) ◽  
pp. 241-245 ◽  
Author(s):  
Su-shing Chen
Keyword(s):  
Upper Bound ◽  
Algebraic Groups ◽  
Rational Points ◽  
Unitary Representations ◽  
Cusp Forms ◽  
Harmonic Forms ◽  
Dimension Formula ◽  
Irreducible Unitary Representations ◽  
Semisimple Algebraic Groups

An upper bound is given of the dimension of certain spaces of cusp harmonic forms of arithmetic subgroups Γ of semisimple algebraic groups G in terms of the multiplicities of corresponding irreducible unitary representations of the group GR of real rational points of G in the space 0L2(GR/Γ) of cusp forms.

scholarly journals The R ∞ and S ∞ properties for linear algebraic groups

2016 ◽  
Vol 19 (5) ◽  
Author(s):  
Alexander Fel’shtyn ◽  
Timur Nasybullov
Keyword(s):  
Algebraic Groups ◽  
Conjugacy Classes ◽  
Linear Algebraic Groups ◽  
Zero Characteristic ◽  
Twisted Conjugacy

AbstractIn this paper we study twisted conjugacy classes and isogredience classes for automorphisms of reductive linear algebraic groups. We show that reductive linear algebraic groups over some fields of zero characteristic possess the

scholarly journals Reality properties of conjugacy classes in algebraic groups

2008 ◽  
Vol 165 (1) ◽  
pp. 1-27 ◽  
Author(s):  
Anupam Singh ◽  
Maneesh Thakur
Keyword(s):  
Algebraic Groups ◽  
Conjugacy Classes
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