Prime factor algebras of the coordinate ring of quantum matrices
Prime factor algebras of the coordinate ring of quantum matrices
复制标题
量子矩阵坐标环的素因子代数
DOI：
10.1090/s0002-9939-1994-1211579-1
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发表时间：
1994
影响因子：
1.4
通讯作者：
E. S. Letzter
中科院分区：
文献类型：
--
作者：
K. Goodearl;E. S. Letzter
证明了当q不是单位根时，域k上量子n × n矩阵坐标环6 q（M，（k））的每个素因子代数都是整环（尽管不一定是交换的）.对于量子群6 M（SLn（k））和g，同样的结论也是基于作者最近关于q-斜多项式环的工作。
It is proved that every prime factor algebra of the coordinate ring 6q(M,(k)) of quantum n x n matrices over a field k is an integral domain (albeit not necessarily commutative) when q is not a root of unity. The same conclusion follows for the quantum groups 6M(SLn(k)) and g this q-analog in turn is based on results from the authors' recent work on q-skew polynomial rings.