论文标题
dihedral dunkl- dirac对称代数,带负clifford签名
The dihedral Dunkl--Dirac symmetry algebra with negative Clifford signature
论文作者
论文摘要
dunkl--dirac对称代数是Clifford代数的张量产物和有理Cherednik代数的忠实多项式表示的张量的关联亚词。在先前的工作中,给出了与二面对组相关的三个维度的dunkl--dirac对称代数的有限维表示。当张量产品中的Clifford代数具有负签名时,我们在这里给出了必要的结果,以进行相同的结构。
The Dunkl--Dirac symmetry algebra is an associative subalgebra of the tensor product of a Clifford algebra and the faithful polynomial representation of a rational Cherednik algebra. In previous work, the finite-dimensional representations of the Dunkl--Dirac symmetry algebra in three dimensions linked with a dihedral group were given. We give here the necessary results to proceed to the same construction when the Clifford algebra in the tensor product has negative signature.