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The Langlands classification and irreducible characters for real reductive groups

By: Contributor(s): Language: English Series: Progess in mathematics | / edited by J. Oesterle and A. Weinstein ; v.104Publication details: Springer 1992 New YorkDescription: xii, 318pISBN:
  • 9781461267362
Subject(s): DDC classification:
  • 512.2 Ad18l
Contents:
Summary: This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.
List(s) this item appears in: New arrival Jan. 31 to Feb. 06, 2022
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur General Stacks 512.2 Ad18l (Browse shelf(Opens below)) Checked out to Santosh V. R. N. Nadimpalli (E0600900) 17/12/2025 A185571
Total holds: 0

This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.

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