Commutants and Centers in a 6-Parameter Family of Quadratically Linked Quantum Plane Algebras

被引：0

作者：

Ekstrom, Fredrik ^{[1
]}

Silvestrov, Sergei D. ^{[2
]}

机构：

[1] Lund Univ, Ctr Math Sci, Box 118, S-22100 Lund, Sweden

[2] Malardalen Univ, Sch Educ, Div Appl Math, Culture & Commun, S-72123 Vasteras, Sweden

来源：

ALGEBRA, GEOMETRY AND MATHEMATICAL PHYSICS (AGMP) | 2014年 / 85卷

关键词：

KADISON-SINGER PROBLEM; DYNAMICAL-SYSTEMS; WAVELET REPRESENTATIONS; GRADED RINGS; COMMUTATIVITY; MAPS; EXTENSIONS; ELEMENTS; IDEALS; STATES;

D O I：

10.1007/978-3-642-55361-5_3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a family of associative algebras, defined as the quotient of a free algebra with the ideal generated by a set of multi-parameter deformed commutation relations between four generators consisting of five quantum plane relations between pairs of generators and one sub-quadratic relation inter-linking all four generators. For generic parameter vectors, the center and the commutants of the two of the generators are described and conditions on the parameters for these commutants to be itself commutative or non-commutative are obtained.

引用

页码：37 / 59

页数：23

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