Seminar series
Date
Tue, 22 Oct 2013
17:00
17:00
Location
C5
Speaker
Gunnar Traustason
Organisation
Bath
Let F be a field. A symplectic alternating algebra over F
consists of a symplectic vector space V over F with a non-degenerate
alternating form that is also equipped with a binary alternating
product · such that the law (u·v, w)=(v·w, u) holds. These algebraic
structures have arisen from the study of 2-Engel groups but seem also
to be of interest in their own right with many beautiful properties.
We will give an overview with a focus on some recent work on the
structure of nilpotent symplectic alternating algebras.