Quasi-Frobenius algebras and their integrable N-parametric deformations generated by compatible (N × N)-metrics of constant Riemannian curvature
نویسنده
چکیده
Recall that a finite-dimensional commutative associative algebra equipped with an invariant nondegenerate symmetric bilinear form is called a Frobenius algebra (here, we do not require an existence of a unit in Frobenius algebra). Any commutative quasi-Frobenius algebra is always Frobenius, i.e., if the identity ab = ba (commutativity) is fulfilled in a quasi-Frobenius algebra, then the identities
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