Differential and Integral Forms on Non-commutative Algebras

  • Tomasz Brzeziński
Conference paper
Part of the Trends in Mathematics book series (TM)


These lectures describe an algebraic approach to differentiation and integration that is characteristic for non-commutative geometry. The material contained in Section 2 is standard and can be found in any text on non-commutative geometry, for example [4]. Items 5 and 6, which describe concepts introduced in [3], are exceptions. The bulk of Section 3 is based on [1] and [3], while the Berezin integral example is taken from [2].


Noncommutative geometry differential forms integral forms 

Mathematics Subject Classification (2010).

Primary 58B30 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of MathematicsSwansea UniversitySwanseaUK
  2. 2.Department of MathematicsUniversity of BiaɫystokBiaɫystokPoland

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