Gauss decomposition for Chevalley groups, revisited

Gauss decomposition for Chevalley groups, revisited

In the 1960's Noboru Iwahori and Hideya Matsumoto, Eiichi Abe and Kazuo Suzuki, and Michael Stein discovered that Chevalley groups $G=G(Phi,R)$ over a semilocal ring admit remarkable Gauss decomposition $G=TUU^-U$, where $T=T(Phi,R)$ is a split maximal torus, whereas $U=U(Phi,R)$ and $U^-=U^-(P...

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Bibliographic Details
Main Authors: A. Smolensky, B. Sury, N. Vavilov
Format: Article
Language:English
Published: University of Isfahan 2012-03-01
Series:International Journal of Group Theory
Subjects:
Chevalley groups
elementary Chevalley groups
triangular factorisations
rings of stable rank 1
parabolic subgroups
Gauss decomposition
commutator width
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=467&_ob=05f124c20f62a8f21e87d93a386d75b7&fileName=full_text.pdf

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