Classification of the GL(3) Quantum Matrix Groups

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dc.creatorEwen, Holger
dc.creatorOgievetsky, Oleg
dc.date1994-12-21
dc.date.accessioned2026-07-07T09:16:26Z
dc.date.available2026-07-07T09:16:26Z
dc.descriptionWe define quantum matrix groups GL(3) by their coaction on appropriate quantum planes and the requirement that the Poincare series coincides with the classical one. It is shown that this implies the existence of a Yang-Baxter operator. Exploiting stronger equations arising at degree four of the algebra, we classify all quantum matrix groups GL(3). We find 26 classes of solutions, two of which do not admit a normal ordering. The corresponding R-matrices are given.
dc.description28 pages, Latex
dc.identifierhttps://arxiv.org/abs/q-alg/9412009
dc.identifierhttp://arxiv.org/abs/q-alg/9412009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153352
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleClassification of the GL(3) Quantum Matrix Groups
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