engleski

On certain representation of twisted group algebra of symmetric groups on multiparametric quon algebras

We will examine a natural representation of the twisted group algebra (of the symmetric groups with coefficients in the polynomial ring in nxn commuting variables) on the weight subspaces of the free unital associative complex algebra B (equiped with a multiparametric q-differential structure). In this representation some factorizations of certain canonical elements from twisted group algebra will immediately give the corresponding matrix factorizations and also determinant factorizations which can be applied in calculating the space of all constants in the algebra B (this will be elaborated alsewhere).

q-algebras; twisted group algebra; representation

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