Article contents
R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS
Published online by Cambridge University Press: 08 March 2021
Abstract
For a unitary unramified genuine principal series representation of a covering group, we study the associated R-group. We prove a formula relating the R-group to the dimension of the Whittaker space for the irreducible constituents of such a principal series representation. Moreover, for certain saturated covers of a semisimple simply connected group, we also propose a simpler conjectural formula for such dimensions. This latter conjectural formula is verified in several cases, including covers of the symplectic groups.
Keywords
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 22 , Issue 1 , January 2023 , pp. 213 - 273
- Copyright
- © The Author(s), 2021. Published by Cambridge University Press
References
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