Primitive Ideals of Cq(SL(n))
Primitive Ideals of Cq(SL(n))
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Cq(SL(n)) 的原始理想
DOI：
10.1006/jabr.1994.1239
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发表时间：
1994
影响因子：
0.9
通讯作者：
T. Levasseur
中科院分区：
文献类型：
--
作者：
T. Hodges;T. Levasseur
本文对量子群Cq [ SL（n）]的本原理想进行了分类，其中q是非零复数，且不是单位根。证明了素数C q [ SL（n）]中的轨道在特征群H（C *）n −1的作用下自然地被W × W参数化，其中W是相关的Weyl群。证明了Cq [ SL（n）]的本原理想与相应的Poisson代数群SL（n，C）的辛叶之间存在自然的一一对应关系.
Abstract The primitive ideals of the quantum group C q [ SL ( n )] are classified in the case where q is a non-zero complex number which is not a root of unity. It is shown that the orbits in Prim C q [ SL ( n )] under the action of the character group H ≅ ( C *) n −1 are parameterized naturally by W × 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 ( n )] and symplectic leaves of the associated Poisson algebraic group SL ( n , C ).