Primitive ideals in quantum SL(3) and GL(3)

Details Primitive ideals in quantum SL(3) and GL(3) Primitive ideals in quantum SL(3) and GL(3)

2010-08-26

arxiv.org/abs/1008.4462v1

Mathematics

Quantum Algebra

28 pages. There are several figures. If any of the figures do not display properly, you can obtain a stable pdf file from eith

Scientific paper

Explicit generating sets are found for all primitive ideals in the generic quantized coordinate rings of the 3x3 special and general linear groups over an arbitrary algebraically closed field. (Previously, generators were only known up to certain localizations.) The generating sets form polynormal regular sequences, from which it follows that all primitive factor algebras of these quantized coordinate rings are Auslander-Gorenstein and Cohen-Macaulay.

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