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. 

Zoom information:

• https://us06web.zoom.us/j/97235712165?pwd=OHFSL2lXVnVUWU9pdUxRQlhkRG1oUT09
• Meeting ID: 972 3571 2165
• Passcode: 8nuxSQ

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.