Abstract
We consider a family of singular unitary representations which are realized in Dolbeault cohomology groups over indefinite Grassmannian manifolds, and find a closed formula of irreducible decompositions with respect to reductive symmetric pairs $(A_{2n-1}, D_{n})$. The resulting branching rule is a multiplicity-free sum of infinite dimensional, irreducible representations.
Citation
Hideko Sekiguchi. "Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds." Proc. Japan Acad. Ser. A Math. Sci. 87 (3) 31 - 34, March 2011. https://doi.org/10.3792/pjaa.87.31
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