Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties
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DOI: 10.1080/00927872.2019.1691567
Abstract: Abstract In this paper, we define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This presentation uncovers the Dunkl-Opdam subalgebra as a Drinfeld algebra. We use this fact to define Dirac… read more here.
Keywords: dunkl opdam; drinfeld; dirac cohomology; opdam subalgebra ... See more keywords
Unitary representations with non-zero Dirac cohomology for complex E 6
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DOI: 10.1515/forum-2018-0132
Abstract: Abstract This paper classifies the equivalence classes of irreducible unitary representations with non-vanishing Dirac cohomology for complex E 6 {E_{6}} . This is achieved by using our finiteness result, and by improving the computing method.… read more here.
Keywords: non zero; dirac cohomology; cohomology complex; representations non ... See more keywords