Algebraic Representation Theory of Partial Algebras |
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| Authors: | G.O.S. Ekhaguere |
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| Affiliation: | Department of Mathematics, University of Ibadan, Ibadan, Nigeria, e-mail: gose@aau.org, NG
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| Abstract: | . This paper develops an algebraic representation theory of partial algebras. We introduce the notion of irreducibility for representations of a partial algebra, prove necessary and sufficient conditions for a representation to be (a) irreducible or (b) completely reducible, and develop aspects of the decomposition theory of completely reducible representations. An application to boson quantum field theory is furnished. |
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