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Complete Classification of BKM Lie Superalgebras Possessing Strictly Imaginary Property

DOI: 10.5923/j.am.20120204.02

Keywords: Borcherds Kac-Moody Lie Superalgebras, Strictly Imaginary Roots, Purely Imaginary Roots

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Abstract:

In this paper, complete classifications of all BKM Lie superalgebras (with finite order and infinite order Cartan matrices) possessing Strictly Imaginary Property are given. These classifications also include, in particular, the Monster BKM Lie superalgebra.

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