2 3 Se p 19 99 QUANTIZED RANK R MATRICES
نویسنده
چکیده
First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized n × r matrices as well as quantized factor algebras of M q (n) are analyzed. The latter are the quantized function algebra of rank r matrices obtained by working modulo the ideal generated by all (r + 1) × (r + 1) quantum subdeterminants and a certain localization of this algebra is proved to be isomorphic to a more manageable one. In all cases, the quantum parameter is a primitive mth roots of unity. The degrees and centers of the algebras are determined when m is a prime and the general structure is obtained for arbitrary m.
منابع مشابه
Quantized Rank R Matrices
First some old as well as new results about P.I. algebras, Ore extensions, and degrees are presented. Then quantized n × r matrices as well as certain quantized factor algebras M q (n) of Mq(n) are analyzed. For r = 1, . . . , n − 1, M q (n) is the quantized function algebra of rank r matrices obtained by working modulo the ideal generated by all (r+1)×(r+1) quantum subdeterminants and a certai...
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