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Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q) (CROSBI ID 192945)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Barbasch, Dan ; Pandžić, Pavle
Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q) // Journal of lie theory, 25 (2015), 1; 185-213
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Barbasch, Dan ; Pandžić, Pavle
engleski
Dirac cohomology of unipotent representations of Sp(2n, R) and U(p, q)
We explicitly describe Dirac cohomology of special unipotent representations of the groups Sp(2n, R) and U(p, q). Unlike the simpler cases treated in the literature so far, the answer here is quite involved. In particular, the Dirac cohomology can contain K-types with high multiplicity.
Lie group; unitary representation; unipotent representation; Dirac operator; Dirac cohomology
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