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|Title:||Degenerate Principal Series Representations of GLnC) and GLn(R)|
|Citation:||Howe, R., Lee, S.T. (1999-08-20). Degenerate Principal Series Representations of GLnC) and GLn(R). Journal of Functional Analysis 166 (2) : 244-309. ScholarBank@NUS Repository. https://doi.org/10.1006/jfan.1999.3427|
|Abstract:||Let F be the field C or R. For 1≤k≤[n/2], let Pk be the maximal parabolic subgroup of GLn(F) with its Levi factor isomorphic to GLn-k(F)×GLk(F). In this paper, we explicitly calculate the action of the enveloping algebra of gln(F) on the degenerate principal series representations induced from characters of Pk. We address composition series, K-types and unitarity. © 1999 Academic Press.|
|Source Title:||Journal of Functional Analysis|
|Appears in Collections:||Staff Publications|
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