Vol. 12, No. 7, 2018

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Difference modules and difference cohomology

Marcin Chałupnik and Piotr Kowalski

Vol. 12 (2018), No. 7, 1559–1580
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.

Keywords
rational cohomology, difference algebraic group, difference cohomology
Mathematical Subject Classification 2010
Primary: 12H10
Secondary: 14L15, 20G05
Milestones
Received: 3 January 2017
Revised: 3 February 2018
Accepted: 27 June 2018
Published: 27 October 2018
Authors
Marcin Chałupnik
Instytut Matematyki
Uniwersytet Warszawski
Warszawa
Poland
Piotr Kowalski
Instytut Matematyczny
Uniwersytet Wrocławski
Wrocław
Poland