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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.