TITLE:
QED-Lie Algebra and Their £ -Modules in Superconductivity
AUTHORS:
Francisco Bulnes
KEYWORDS:
Electromagnetic Representation, Electro-Physics Theory, Lie Algebra, £-Modules
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.3 No.4,
April
20,
2015
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.