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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2)

Bushnell, Colin J.
Henniart, Guy

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 335

AlgebraGeneral Mathematics

ISBN10: 3642068537
ISBN13: 9783642068539
Publisher: Springer
Published: Nov 23 2010
Pages: 340
Weight: 1.15
Height: 0.90 Width: 6.00 Depth: 9.00
Language: English

If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between the characters of the multiplicative group GL(1, F) of F and the characters of the Weil group of F. If n is a positive integer, the n-dimensional analogue of a character of the multiplicative group of F is an irreducible smooth representation of the general linear group GL(n, F). The local Langlands Conjecture for GL(n) postulates the existence of a canonical bijection between such objects and n-dimensional representations of the Weil group, generalizing class field theory.

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