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2015 $N$-Complex, Graded $q$-Differential Algebra and $N$-Connection on Modules
Viktor Abramov, Olga Liivapuu
J. Gen. Lie Theory Appl. 9(S1): 1-11 (2015). DOI: 10.4172/1736-4337.S1-006


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 $d^2 =0$. 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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Viktor Abramov. Olga Liivapuu. "$N$-Complex, Graded $q$-Differential Algebra and $N$-Connection on Modules." J. Gen. Lie Theory Appl. 9 (S1) 1 - 11, 2015.


Published: 2015
First available in Project Euclid: 11 November 2016

zbMATH: 1371.16010
MathSciNet: MR3266177
Digital Object Identifier: 10.4172/1736-4337.S1-006

Keywords: Algebra of connection form , Cohomologies of N-cochain complex , Covariant N-differential , Curvature of N-connection , Graded q-differential algebra , N-cochain complex , N-connection consistent with Hermitian structure of module , N-connection form , N-connection on module , N-curvature Form , N-differential module

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.9 • No. S1 • 2015
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