Abstract
The primitive ideals of the Hopf algebraC q [SL(3)] are classified. In particular it is shown that the orbits in PrimC q [SL(3)] under the action of the representation groupH ≅C *×C * are parameterized naturally byW×W, whereW is the associated Weyl group. It is shown that there is a natural one-to-one correspondence between primitive ideals ofC q [SL(3)] and symplectic leaves of the associated Poisson algebraic groupSL(3,C).
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Communicated by N. Yu. Reshetikhin
Partially supported by a grant from the N.S.A.
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Hodges, T.J., Levasseur, T. Primitive ideals of C q [SL(3)]. Commun.Math. Phys. 156, 581–605 (1993). https://doi.org/10.1007/BF02096864
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DOI: https://doi.org/10.1007/BF02096864