Algebra & Number Theory

Difference modules and difference cohomology

Marcin Chałupnik and Piotr Kowalski

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

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

Keywords
rational cohomology difference algebraic group difference cohomology

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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