commuting variety
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2018 ◽  
Vol 62 (2) ◽  
pp. 559-594
Author(s):  
Rolf Farnsteiner

AbstractLetUbe the unipotent radical of a Borel subgroup of a connected reductive algebraic groupG, which is defined over an algebraically closed fieldk. In this paper, we extend work by Goodwin and Röhrle concerning the commuting variety of Lie(U) for Char(k) = 0 to fields whose characteristic is good forG.


2018 ◽  
Vol 13 (5) ◽  
pp. 1179-1187
Author(s):  
Yu-Feng Yao ◽  
Hao Chang

2016 ◽  
Vol 507 ◽  
pp. 300-321
Author(s):  
Ralph Morrison ◽  
Ngoc M. Tran
Keyword(s):  

2014 ◽  
Vol 58 (1) ◽  
pp. 169-181 ◽  
Author(s):  
Simon M. Goodwin ◽  
Gerhard Röhrle

AbstractLet G be a connected reductive algebraic group defined over an algebraically closed field of characteristic 0. We consider the commuting variety of the nilradical of the Lie algebra of a Borel subgroup B of G. In case B acts on with only a finite number of orbits, we verify that is equidimensional and that the irreducible components are in correspondence with the distinguishedB-orbits in . We observe that in general is not equidimensional, and determine the irreducible components of in the minimal cases where there are infinitely many B-orbits in .


2014 ◽  
Vol 218 (10) ◽  
pp. 1783-1791 ◽  
Author(s):  
Yu-Feng Yao ◽  
Hao Chang

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