DISTINGUISHED POSITIVE REGULAR REPRESENTATIONS

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MURNAGHAN F.

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Journal Paper

Paper Information

Journal: Bulletin of the Iranian Mathematical Society Year:2017 | Volume:43 | Issue:4 SPECIAL ISSUE Page(s): 291-311

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Title

DISTINGUISHED POSITIVE REGULAR REPRESENTATIONS

Author(s)

MURNAGHAN F.

Keywords

DISTINGUISHED REPRESENTATION

RELATIVELY SUPERCUSPIDAL

Abstract

Let G be a tamely ramified reductive p -adic group. We study distinction of a class of irreducible admissible representations of G by the group of fixed points H of an involution of G. The representations corre-spond to G -conjugacy classes of pairs (T; f), where T is a tamely ramified maximal torus of G and f is a quasicharacter of T whose restriction to the maximal pro-p -subgroup satisfies a regularity condition.Under mild restrictions on the residual characteristic of F, we derive necessary conditions for H -distinction of a representation corresponding to (T; f), expressed in terms of properties of T and f relative to the involution.We prove that if an H -DISTINGUISHED REPRESENTATION arises from a pair (T; f) such that T is stable under the involution and compact modulo (T Ç H) Z (here, Z is the centre of G), then the representation is H -relatively supercuspidal.

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APA: Copy

MURNAGHAN, F.. (2017). DISTINGUISHED POSITIVE REGULAR REPRESENTATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 43(4 SPECIAL ISSUE), 291-311. SID. https://sid.ir/paper/701460/en

Vancouver: Copy

MURNAGHAN F.. DISTINGUISHED POSITIVE REGULAR REPRESENTATIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2017;43(4 SPECIAL ISSUE):291-311. Available from: https://sid.ir/paper/701460/en

IEEE: Copy

F. MURNAGHAN, “DISTINGUISHED POSITIVE REGULAR REPRESENTATIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 43, no. 4 SPECIAL ISSUE, pp. 291–311, 2017, [Online]. Available: https://sid.ir/paper/701460/en

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