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Algebra Seminar | Nilpotent Symplectic Alternating Algebras, Oct. 4

The Mathematics Department Algebra Seminar features Layla Sorkatti, University of Khartoum (Sudan) and Southern Illinois University, Carbondale, on Tuesday, Oct. 4, from 4-5 p.m. via Zoom. 


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Sorkatti is with University of Khartoum (Sudan) and Southern Illinois University, Carbondale.


Abstract. Let F be a field. A Symplectic alternating algebra over F is a triple (V, ( , ), · ) where V is a symplectic vector space over F with respect to a non-degenerate alternating form ( , ) and · is an alternating bilinear and binary operation on V such that the law (u · v, w) = (v · w, u) holds. These algebraic structures have arisen from the study of 2-Engel groups but also seem to be of interest in their own right with many beautiful properties. We will give an overview with a focus on the structure of nilpotent symplectic alternating algebras and some recent work.



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