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Layla Sorkatti
A First Look at Symplectic Alternating Algebras
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 operation on V such that the identity (u⋅v,w) = (v⋅w, u) holds.
In this talk, we will present these algebras in their own right from an algebraic perspective. The aim is to provide an overview of topics that can be explored in detail in future talks.
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