A class of quadratic matrix algebras arising from the quantized enveloping algebra ${\s U}_q(A_{2n-1})$

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dc.creatorJakobsen, Hans Plesner
dc.creatorZhang, Hechun
dc.date1999-02-24
dc.date.accessioned2026-07-07T05:28:01Z
dc.date.available2026-07-07T05:28:01Z
dc.descriptionA natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside ${\s U}_q(A_{2n-1})$, 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 $\rank\leq r$ matrices.
dc.description29 pages LaTeX2e manuscript
dc.identifierhttps://arxiv.org/abs/math/9902143
dc.identifierhttp://arxiv.org/abs/math/9902143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78147
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject81R50; 16R20
dc.titleA class of quadratic matrix algebras arising from the quantized enveloping algebra ${\s U}_q(A_{2n-1})$
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