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Abstract
For an element of a group G representable as a product of commutators, one can define its commutator length as the smallest number of commutators needed for such a representation, by definition the other elements
are of infinite length. The commutator width of G is defined as supremum of the lengths of its elements. Recently it was proven that all finite simple groups have commutator width one. On the other hand, there are examples of infinite simple groups of arbitrary finite width
and of infinite width.
In a similar manner, one can define the bracket width of a Lie algebra. It is known that all finitedimensional simple Lie algebras over an algebraically closed field have bracket width one. Our goal is to present
first examples of simple Lie algebras of bracket width greater than one.
This talk is based on a work in progress, joint with A. Regeta.
Original language  American English 

State  Published  2018 
Event  Affine Algebraic Groups, Motives and Cohomological Invariants  Banff, Canada Duration: 16 Sep 2018 → 21 Sep 2018 https://www.birs.ca/events/2018/5dayworkshops/18w5021 (Website) 
Conference
Conference  Affine Algebraic Groups, Motives and Cohomological Invariants 

Country/Territory  Canada 
City  Banff 
Period  16/09/18 → 21/09/18 
Internet address 
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Dive into the research topics of 'Bracket width of simple Lie algebras'. Together they form a unique fingerprint.Activities
 1 Invited talk

Conference Invited
Kunyavskii, B. (Invited speaker)
16 Sep 2018 → 21 Sep 2018Activity: Talk or presentation › Invited talk