Remarks on Enveloping Semigroups
Abstract
The local structures of enveloping semigroups of simple groups are investigated. All J-coirreducible connected stabilizer submonoids are determined. The notion of a navel of a reductive monoid is introduced. The cross-section lattice of the enveloping monoid is shown to be atomic. In type A, the generating series for the number of G× G-orbits is found.
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