Primitive ideals of \({\mathbf C}_ q[SL(3)]\)
The authors' summary: The primitive ideals of the Hopf algebra \(C_ q [SL(3)]\) are classified. In particular, it is shown that the orbits in Prim \(C_ q [SL(3)]\) under the action of the representation group \(H \cong C^* \times C^*\) are parameterized naturally by \(W \times W\), where \(W\) is the associated Weyl group. It is shown that there is a natural one-to-one correspondence between primitive ideals of \(C_ q [SL(3)]\) and symplectic leaves of the associated Poisson algebraic group \(SL(3,\mathbb{C})\).
scientific article; zbMATH DE number 487163