Lectures On Graded Differential Algebras And Noncommutative Geometry

Lectures On Graded Differential Algebras And Noncommutative Geometry (2000)

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by The Erwin , Schrodinger International Boltzmanngasse , Michel Dubois-Violette , Michel Dubois-violette

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Datum	Value	Source
TITLE	Lectures On Graded Differential Algebras And Noncommutative Geometry	user correction - Legacy Corrections
AUTHOR NAME	The Erwin	user correction - Legacy Corrections
AUTHOR ADDR	Institute for Mathematical Physics A-1090 Wien, Austria	user correction - Legacy Corrections
AUTHOR NAME	Schrodinger International Boltzmanngasse	user correction - Legacy Corrections
AUTHOR ADDR	Institute for Mathematical Physics A-1090 Wien, Austria	user correction - Legacy Corrections
AUTHOR NAME	Michel Dubois-Violette	user correction - Legacy Corrections
AUTHOR NAME	Michel Dubois-violette	user correction - Legacy Corrections
AUTHOR AFFIL	Laboratoire de Physique Th'eorique; 1	user correction - Legacy Corrections
AUTHOR ADDR	Universit'e Paris XI, Batiment 210; F-91 405 Orsay Cedex, France	user correction - Legacy Corrections
ABSTRACT	These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments. LPT-ORSAY 99/100 Keywords : graded differential algebras; categories of algebras; bimodules; noncommutative differential calculus; noncommutative symplectic geometry. MSC classification: 16D20, 18B99, 51P05, 53A99, 81Q99. To be published in the Proceedings of the Workshop on Noncommutative Differential Geometry and its Application to Physics, Shonan-Kokusaimura, Japan, May 31 - June 4, 1999. 1 Unit'e Mixte de Recherche du Centre National de la Recherche Scientifique - UMR 8627 1 Contents 1 Introduction 3 2 Graded differential algebras 10 3 Examples related to Lie algebras 15 4 Examples related to associative algebras 20 5 Categories of algebras 26 6 First order differential calculi 31 7 Higher order differential calculi 36 8 Diagonal an...	user correction - Legacy Corrections
YEAR	2000	user correction - Legacy Corrections
CITATIONS	60 found	ParsCit 1.0