Winding-invariant prime ideals in quantum $3\times3$ matrices

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dc.creatorGoodearl, K. R.
dc.creatorLenagan, T. H.
dc.date2001-12-05
dc.date.accessioned2026-07-07T04:45:01Z
dc.date.available2026-07-07T04:45:01Z
dc.descriptionA complete determination of the prime ideals invariant under winding automorphisms in the generic 3 by 3 quantum matrix algebra is obtained. Explicit generating sets consisting of quantum minors are given for all of these primes, thus verifying a general conjecture in the 3 by 3 case. The result relies heavily on certain tensor product decompositions for winding-invariant prime ideals, developed in an accompanying paper. In addition, new methods are developed here, which show that certain sets of quantum minors, not previously manageable, generate prime ideals in the n by n quantum matrix algebra.
dc.description29 pages; one eps figure. Fully integrated version at http://www.math.ucsb.edu/~goodearl/preprints.html/
dc.identifierhttps://arxiv.org/abs/math/0112051
dc.identifierhttp://arxiv.org/abs/math/0112051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62826
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W35; 20G42
dc.titleWinding-invariant prime ideals in quantum $3\times3$ matrices
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