1Institut Élie Cartan, Université de Nancy, Boulevard des Aiguillettes, B. P. 239, 54506 Vandoeuvre-lès-Nancy, France 2Department of Mathematics, University of Denver, 2360 S Gaylord Street, Denver, CO 80208, U.S.A.
Journal of Lie Theory, Tome 20 (2010) no. 2, pp. 253-282
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.
1
Institut Élie Cartan, Université de Nancy, Boulevard des Aiguillettes, B. P. 239, 54506 Vandoeuvre-lès-Nancy, France
2
Department of Mathematics, University of Denver, 2360 S Gaylord Street, Denver, CO 80208, U.S.A.
Wolfgang Bertram; Michael Kinyon. Associative Geometries. II: Involutions, the Classical Torsors, and their Homotopes. Journal of Lie Theory, Tome 20 (2010) no. 2, pp. 253-282. http://geodesic.mathdoc.fr/item/JOLT_2010_20_2_a1/
@article{JOLT_2010_20_2_a1,
author = {Wolfgang Bertram and Michael Kinyon},
title = {Associative {Geometries.} {II:} {Involutions,} the {Classical} {Torsors,} and their {Homotopes}},
journal = {Journal of Lie Theory},
pages = {253--282},
year = {2010},
volume = {20},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2010_20_2_a1/}
}
TY - JOUR
AU - Wolfgang Bertram
AU - Michael Kinyon
TI - Associative Geometries. II: Involutions, the Classical Torsors, and their Homotopes
JO - Journal of Lie Theory
PY - 2010
SP - 253
EP - 282
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