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- W3100351308 abstract "We give a construction of a Dirac operator on a quantum group based on any simple Lie algebra of classical type. The Dirac operator is an element in the vector space $U_q(g) otimes mathrm{cl}_q(g)$ where the second tensor factor is a $q$-deformation of the classical Clifford algebra. The tensor space $ U_q(g) otimes mathrm{cl}_q(g)$ is given a structure of the adjoint module of the quantum group and the Dirac operator is invariant under this action. The purpose of this approach is to construct equivariant Fredholm modules and $K$-homology cycles. This work generalizes the operator introduced by Bibikov and Kulish in cite{BK}." @default.
- W3100351308 created "2020-11-23" @default.
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- W3100351308 date "2011-12-01" @default.
- W3100351308 modified "2023-10-16" @default.
- W3100351308 title "Covariant Dirac operators on quantum groups" @default.
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- W3100351308 doi "https://doi.org/10.1063/1.3664284" @default.
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