Summary: 



PRIME IDEALS IN CERTAIN

QUANTUM DETERMINANTAL RINGS



K. R. Goodearl and T. H. Lenagan



Abstract. The ideal I1 generated by the 2 x 2 quantum minors in the co-
ordinate algebra of quantum matrices, Oq(Mm,n(k)), is investigated. Ana-
logues of the First and Second Fundamental Theorems of Invariant Theory
are proved. In particular, it is shown that I1 is a completely prime idea*
*l, that
is, Oq(Mm,n(k))=I1 is an integral domain, and that Oq(Mm,n(k))=I1 is the

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

Collections: Mathematics