Journal of Lie Theory

no. 1
Dirac Cohomology of Unipotent Representations of Sp(2n,R) and U(p,q)
Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 185-213
We compute the Dirac cohomology of the special unipotent representations of the real 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.
DOI: 10.5802/jolt.833
Classification: 22E47, 22E46
Keywords: Lie group, Lie algebra, representation, special unipotent representation, Dirac operator, Dirac cohomology 
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     author = {D. Barbasch and P. Pandzic},
     title = {Dirac {Cohomology} of {Unipotent} {Representations} of {Sp(2n,R)} and {U(p,q)}},
     journal = {Journal of Lie Theory},
     pages = {185--213},
     year = {2015},
     volume = {25},
     number = {1},
     doi = {10.5802/jolt.833},
     zbl = {1387.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.833/}
}
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D. Barbasch; P. Pandzic. Dirac Cohomology of Unipotent Representations of Sp(2n,R) and U(p,q). Journal of Lie Theory, Volume 25 (2015) no. 1, pp. 185-213. doi: 10.5802/jolt.833

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