Yuji Kobayashi, Shigeaki Nagamachi
Abstract
Matrices with σ-symmetric parameters (the most general extension of supersymmetric parameters) are investigated. The superdeterminants of such matrices are defined. Lie groups consisting of these matrices and their Lie algebras are studied.
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Matrices with σ-symmetric parameters (the most general extension of supersymmetric parameters) are investigated. The superdeterminants of such matrices are defined. Lie groups consisting of these matrices and their Lie algebras are studied.
Key concepts: Killing form, Mathematics, Adjoint representation of a Lie algebra, Simple Lie group, Pure mathematics, Lie group, Lie conformal algebra, Representation of a Lie group