Algebra & Number Theory

Difference modules and difference cohomology

Marcin Chałupnik and Piotr Kowalski

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We give some basics about homological algebra of difference representations. We consider both the difference discrete and the difference rational case. We define the corresponding cohomology theories and show the existence of spectral sequences relating these cohomology theories with the standard ones.

Article information

Algebra Number Theory, Volume 12, Number 7 (2018), 1559-1580.

Received: 3 January 2017
Revised: 3 February 2018
Accepted: 27 June 2018
First available in Project Euclid: 9 November 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 12H10: Difference algebra [See also 39Axx]
Secondary: 14L15: Group schemes 20G05: Representation theory

rational cohomology difference algebraic group difference cohomology


Chałupnik, Marcin; Kowalski, Piotr. Difference modules and difference cohomology. Algebra Number Theory 12 (2018), no. 7, 1559--1580. doi:10.2140/ant.2018.12.1559.

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