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Associative Geometries. II: Involutions, the classical torsors, and their homotopes

Authors
  • Bertram, Wolfgang
  • Kinyon, Michael
Type
Preprint
Publication Date
May 18, 2010
Submission Date
May 18, 2010
Source
arXiv
License
Yellow
External links

Abstract

For all classical groups (and for their analogs in infinite dimension or over general base fields or rings) we construct certain contractions, called "homotopes". The construction is geometric, using as ingredient involutions of associative geometries. We prove that, under suitable assumptions, the groups and their homotopes have a canonical semigroup completion.

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