Types In Sl  n | Zendy

Goldberg David | Zendy; Roche Alan | Zendy

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Types In Sl n

Author(s) -

Goldberg David,

Roche Alan

Publication year - 2002

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms/85.1.119

Subject(s) - mathematics , type (biology) , decomposition , field (mathematics) , representation (politics) , set (abstract data type) , mathematics subject classification , pure mathematics , component (thermodynamics) , subject (documents) , combinatorics , computer science , ecology , physics , politics , library science , political science , law , biology , programming language , thermodynamics

Let G = SL n ( F ) where F is a non‐Archimedean local field. This paper concerns the smooth (complex) representation theory of G , specifically, the construction of types in G , in the sense of Bushnell and Kutzko. The main result describes a type for each non‐supercuspidal component of the Bernstein decomposition of G . If this is combined with earlier work of Bushnell and Kutzko, it follows that G admits a complete set of types. 2000 Mathematical Subject Classification : 22E50.

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