Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

N-Complex, Graded q-Differential Algebra and N-Connection on Modules


Viktor Abramov and Olga Liivapuu

It is well known that given a differential module E with a differential d we can measure the non-exactness of this differential module by its homologies which are based on the key relation d2=0. This relation is a basis for several important structures in modern mathematics and theoretical physics to point out only two of them which are the theory of de Rham cohomologies on smooth manifolds and the apparatus of BRST-quantization in gauge field theories.


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