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An Explicit Cell Decomposition of the Wonderful Compactification of a Semisimple Algebraic Group

Published online by Cambridge University Press:  20 November 2018

Lex E. Renner
Lex E. Renner*
Affiliation:
Department of Mathematics, The University of Western Ontario, London, Ontario, N6A 5B7
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Abstract

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We determine an explicit cell decomposition of the wonderful compactification of a semisimple algebraic group. To do this we first identify the $B\,\times \,B$-orbits using the generalized Bruhat decomposition of a reductive monoid. From there we show how each cell is made up from $B\,\times \,B$-orbits.

Keywords

14L3014M1720M17
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 46 , Issue 1 , 01 March 2003 , pp. 140 - 148
Copyright
Copyright © Canadian Mathematical Society 2003

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