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Applied Mathematics 2012
Complete Classification of BKM Lie Superalgebras Possessing Strictly Imaginary PropertyKeywords: Borcherds Kac-Moody Lie Superalgebras, Strictly Imaginary Roots, Purely Imaginary Roots 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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