A Cubic Dirac Operator and the Emergence of Euler Number Multiplets of Representations for Equal Rank Subgroups
نویسنده
چکیده
0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447 1. A Clifford algebra criterion for (ν,Bg) to be of Lie type . . . . . . . . . . . . . . . . . . 455 2. The cubic Dirac operator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 471 3. Tensoring with the spin representation and the emergence of d-multiplets . . . 475 4. Multiplets and the kernel of the Dirac operator . . . . . . . . . . . . . . . . . . . . . . . . . 483 5. Infinitesimal character values on multiplets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 488 6. Multiplets and topological K-theory. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 494
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