Extended affine Lie superalgebras and their affinizations |
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Authors: | Saeid Azam Abbas Darehgazani |
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Affiliation: | 1. Department of Mathematics, University of Isfahan, Isfahan, Iran;2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iranazam@sci.ui.ac.ir saeidazam@yahoo.com |
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Abstract: | Extended affine Lie superalgebras are super versions of the defining axioms of extended affine Lie algebras or more generally invariant affine reflection algebras. This class includes finite dimensional basic classical simple Lie superalgebras and affine Lie superalgebras. In this paper, an affinization process is introduced for the class of extended affine Lie superalgebras, and the necessary conditions for an extended affine Lie superalgebra to be invariant under this process are presented. Moreover, new extended affine Lie superalgebras are constructed by means of the affinization process. |
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Keywords: | Affinization extended affine Lie superalgebras extended affine root supersystems |
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