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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
Splitting and Making Explicit the de Rham Complex of the Drinfeld Space

Splitting and Making Explicit the de Rham Complex of the Drinfeld Space

Breuil, Christophe
Qian, Zicheng

Paperback

Series: Lecture Notes in Mathematics, Book 2397

AlgebraGeneral Mathematics

Currently unavailable to order

ISBN10: 3032200946
ISBN13: 9783032200945
Publisher: Springer
Published: Sep 23 2026
Pages: 312
Language: English
This book gives a complete description of the de Rham complex of the Drinfeld space of dimension n - 1 as a complex of representations of GLn(K), where n >= 2 and K is a finite field extension of the field of p-adic numbers. The group GLn(K) acts on the Drinfeld space of dimension n - 1, hence on its complex of differential forms, yielding representations of GLn(K) that mathematicians began to study in the 1980s. Understanding these representations was one of the main motivations for the development of the theory of locally analytic representations of GLn(K), which can be seen as a p-adic analogue of Harish-Chandra's (gln, K)-modules (in the latter, K is a maximal compact subgroup of GLn(R)).

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