Journal article
Local character expansions and asymptotic cones over finite fields
- Abstract:
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We generalise Gelfand-Graev characters to ℝ/ℤ-graded Lie algebras and lift them to produce new test functions to probe the local character expansion in positive depth. We show that these test functions are well adapted to compute the leading terms of the local character expansion and relate their determination to the asymptotic cone of elements in ℤ/n-graded Lie algebras. As an illustration, we compute the geometric wave front set of certain toral supercuspidal representations in a straightforward manner.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 297.7KB, Terms of use)
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- Publisher copy:
- 10.1112/plms.70046
Authors
- Publisher:
- Wiley
- Journal:
- Proceedings of the London Mathematical Society More from this journal
- Volume:
- 130
- Issue:
- 5
- Article number:
- e70046
- Publication date:
- 2025-05-13
- Acceptance date:
- 2025-04-17
- DOI:
- EISSN:
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1460-244X
- ISSN:
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0024-6115
- Language:
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English
- Pubs id:
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2118932
- Local pid:
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pubs:2118932
- Deposit date:
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2025-04-17
Terms of use
- Copyright holder:
- Ciubotaru and Okada
- Copyright date:
- 2025
- Rights statement:
- © 2025 The Author(s). Proceedings of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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