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Mini-workshop: Rank one groups and exceptional algebraic groups. Abstracts from the mini-workshop held November 10–16, 2019. (English) Zbl 1454.00050

Summary: Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups \(\mathrm{SL}_2(k)\). The most interesting examples arise from exceptional algebraic groups of relative rank one. This class of groups is, in turn, intimately related to structurable algebras. The goal of the mini-workshop was to bring together experts on these topics in order to make progress towards a better understanding of the structure of rank one groups.

MSC:

00B05 Collections of abstracts of lectures
00B25 Proceedings of conferences of miscellaneous specific interest
20-06 Proceedings, conferences, collections, etc. pertaining to group theory
17A35 Nonassociative division algebras
17B45 Lie algebras of linear algebraic groups
20E42 Groups with a \(BN\)-pair; buildings
20G15 Linear algebraic groups over arbitrary fields
20G41 Exceptional groups
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
17B60 Lie (super)algebras associated with other structures (associative, Jordan, etc.)
17Cxx Jordan algebras (algebras, triples and pairs)
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References:

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