A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n−1)

Autor:	Hechun Zhang, Hans Plesner Jakobsen
Rok vydání:	2000
Předmět:	Algebra Quadratic algebra Classification of Clifford algebras Rank (linear algebra) Quantum group Clifford algebra Algebra representation Statistical and Nonlinear Physics Universal enveloping algebra Tensor algebra Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 41:2310-2336
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.533241
Popis:	A natural family of quantized matrix algebras is introduced. It includes the two best studied such. Located inside Uq(A2n−1), it consists of quadratic algebras with the same Hilbert series as polynomials in n2 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::da8b96989080314dc8ddbfd564c6443b https://doi.org/10.1063/1.533241 Zobrazit plný text záznamu