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WINDING-INVARIANT PRIME IDEALS IN QUANTUM 3 x 3 MATRICES
 

Summary: 



WINDING-INVARIANT PRIME IDEALS

IN QUANTUM 3 x 3 MATRICES



K. R. Goodearl and T. H. Lenagan


Abstract. A complete determination of the prime ideals invariant under win*
*ding auto-
morphisms in the generic 3 x 3 quantum matrix algebra Oq(M3(k)) is obtaine*
*d. Explicit
generating sets consisting of quantum minors are given for all of these pr*
*imes, thus verifying
a general conjecture in the 3 x 3 case. The result relies heavily on certa*

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara
Lenagan, Tom - Department of Mathematics & Statistics, University of Edinburgh

 

Collections: Mathematics