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CATEGORIES:Lecture / Talk / Workshop
DESCRIPTION:Yuri Bahturin\, Memorial University of Newfoundland\n\n\nTitle:
Generalizing classical correspondences between groups and Lie algebras\n\n
\nAbstract: There are different ways of building a Lie algebra of a group.
One approach\, due to A. I. Malcev\, allows to introduce the structure of a
Lie algebra on the (divisible nilpotent) group itself. Conversely\, one ca
n build a group on a (nilpotent) Lie algebra\, using Baker-Campbell-Hausdor
f formula. As a result\, we have "hybrid" object\, one author called them "
groupalgebras" or "algebragroups". We observe that this approach works in a
far wide setting of arbitrary nilpotent algebras. We also have new applica
tions in the case of the classical Malcev correspondence. (This is joint wo
rk with A. Olshanskii.)
DTEND:20240417T233000Z
DTSTAMP:20240612T220306Z
DTSTART:20240417T223000Z
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 414
SEQUENCE:0
SUMMARY:Algebra Seminar: Generalizing classical correspondences between gro
ups and Lie algebras
UID:tag:localist.com\,2008:EventInstance_46138461982495
URL:https://calendar.usc.edu/event/algebra-seminar-generalizing-classical-c
orrespondences-between-groups-and-lie-algebras
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