Primitive ideals of C
q
[SL(3)] |
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Authors: | Timothy J Hodges Thierry Levasseur |
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Institution: | (1) University of Cincinnati, 45221-0025 Cincinnati, OH, USA;(2) Université de Bretagne Occidentale, F-29287 Brest Cedex, France |
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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).Partially supported by a grant from the N.S.A. |
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Keywords: | Quantum group primitive ideal Poisson Lie group symplectic leaves |
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