A Class of Quadratic Matrix Algebras
نویسندگان
چکیده
A natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside U q (A 2n?1), it consists of quadratic algebras with the same Hilbert series as polynomials in n 2 variables. We discuss their general properties and investigate some members of the family in great detail with respect to associated varieties, degrees, centers, and symplectic leaves. Finally, the space of rank r matrices becomes a Poisson submanifold, and there is an associated tensor category of rank r matrices.
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تاریخ انتشار 2007