QED-Lie Algebra and Their £ -Modules in Superconductivity

Francisco Bulnes

doi:10.4236/jamp.2015.34053

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QED-Lie Algebra and Their £ -Modules in Superconductivity

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DOI: 10.4236/jamp.2015.34053 4,051 Downloads 4,643 Views Citations

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Francisco Bulnes

Affiliation(s)

Research Department in Mathematics and Engineering, TESCHA, Chalco, Mexico.

ABSTRACT

It’s created a canonical Lie algebra in electrodynamics with all the “nice” algebraic and geometrical properties of an universal enveloping algebra with the goal of can to obtain generalizations in quantum electrodynamics theory of the TQFT, and the Universe based in lines and twistor bundles to the obtaining of irreducible unitary representations of the Lie groups SO(4) andO(3,1), based in admissible representations of U(1), and SU(n) . The obtained object haves the advantages to be an algebraic or geometrical space at the same time. This same space of ￡-modules can explain and model different electromagnetic phenomena in superconductor and quantum processes where is necessary an organized transformation of the electromagnetic nature of the space- time and obtain nanotechnologies of the space-time and their elements.

KEYWORDS

Electromagnetic Representation, Electro-Physics Theory, Lie Algebra, £-Modules

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Bulnes, F. (2015) QED-Lie Algebra and Their £ -Modules in Superconductivity. Journal of Applied Mathematics and Physics, 3, 417-427. doi: 10.4236/jamp.2015.34053.

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