$\mathbb {A}^1$-connectedness in reductive algebraic groups

2017 ◽  
Vol 369 (8) ◽  
pp. 5999-6015 ◽  
Author(s):  
Chetan Balwe ◽  
Anand Sawant
Keyword(s):  
Algebraic Groups ◽  
Reductive Algebraic Groups

scholarly journals Duality for nonlinear simply laced groups

2012 ◽  
Vol 148 (3) ◽  
pp. 931-965
Author(s):  
Jeffrey Adams ◽  
Peter E. Trapa
Keyword(s):  
Algebraic Groups ◽  
Natural Class ◽  
Local Langlands Conjecture ◽  
Reductive Algebraic Groups

AbstractWe establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us to extend part of the formalism of the local Langlands conjecture to such groups.

Minimum Vectors for Real Reductive Algebraic Groups

1990 ◽  
Vol s2-42 (3) ◽  
pp. 409-429 ◽  
Author(s):  
R. W. Richardson ◽  
P. J. Slodowy
Keyword(s):  
Algebraic Groups ◽  
Reductive Algebraic Groups
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