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Bounds on multiplicities of spherical spaces over finite fields.
- Source :
-
Journal of Pure & Applied Algebra . Sep2019, Vol. 223 Issue 9, p3859-3868. 10p. - Publication Year :
- 2019
-
Abstract
- Abstract Let G be a reductive group scheme of type A acting on a spherical scheme X. We prove that there exists a number C such that the multiplicity dim Hom (ρ , C [ X (F) ]) is bounded by C , for any finite field F and any irreducible representation ρ of G (F). We give an explicit bound for C. We conjecture that this result is true for any reductive group scheme and when F ranges (in addition) over all local fields of characteristic 0. Different aspects of this conjecture were studied in [3,11,6,7]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 223
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 135625779
- Full Text :
- https://doi.org/10.1016/j.jpaa.2018.12.008