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

  Published:2003-03-01
 Printed: Mar 2003
  • Lex E. Renner
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Abstract

We determine an explicit cell decomposition of the wonderful compactification of a semi\-simple 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.
MSC Classifications: 14L30, 14M17, 20M17 show english descriptions Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17]
Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15]
Regular semigroups
14L30 - Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17]
14M17 - Homogeneous spaces and generalizations [See also 32M10, 53C30, 57T15]
20M17 - Regular semigroups
 

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