## Algebra & Number Theory

### Difference modules and difference cohomology

#### Abstract

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

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

Dates
Revised: 3 February 2018
Accepted: 27 June 2018
First available in Project Euclid: 9 November 2018

https://projecteuclid.org/euclid.ant/1541732433

Digital Object Identifier
doi:10.2140/ant.2018.12.1559

Mathematical Reviews number (MathSciNet)
MR3871502

Zentralblatt MATH identifier
06976294

Subjects
Secondary: 14L15: Group schemes 20G05: Representation theory

#### Citation

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. https://projecteuclid.org/euclid.ant/1541732433

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