Dulam, K and Ghate, H and Lau, M and Pathak, S (2024) Whittaker vectors in singular Whittaker modules. In: Communications in Algebra .
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Official URL: https://doi.org/10.1080/00927872.2024.2345275
Abstract
Let (Formula presented.) be a complex semisimple Lie algebra with Borel subalgebra (Formula presented.) and corresponding nilradical (Formula presented.). We show that singular Whittaker modules M are simple if and only if the space (Formula presented.) of Whittaker vectors is 1-dimensional. For arbitrary locally (Formula presented.) -finite (Formula presented.) -modules V, an immediate corollary is that the dimension of (Formula presented.) is bounded by the composition length of V. © 2024 Taylor & Francis Group, LLC.
| Item Type: | Journal Article |
|---|---|
| Publication: | Communications in Algebra |
| Publisher: | Taylor and Francis Ltd. |
| Additional Information: | The copyright for this article belongs to author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 28 May 2024 04:13 |
| Last Modified: | 28 May 2024 04:13 |
| URI: | https://eprints.iisc.ac.in/id/eprint/85029 |
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