Odd-quadratic Lie superalgebras

Kac, 1977, Lie superalgebras, Adv. Math., 26, 8, 10.1016/0001-8708(77)90017-2 Scheunert, 1979, vol. 716 Bordemann, 1997, Nondegenerate invariant bilinear forms on nonassociative algebras, Acta Math. Univ. Comenian., LXVI, 151 Favre, 1987, Symmetric, invariant, nondegenerate bilinear form on a Lie algebra, J. Algebra, 105, 451, 10.1016/0021-8693(87)90209-2 Hofmann, 1986, Invariant quadratic forms on finite-dimensional Lie algebras, Bull. Aust. Math. Soc., 33, 21, 10.1017/S0004972700002835 Medina, 1985, Algébres de Lie et produit scalaire invariant, Ann. Sci. École Norm. Sup. (4), 18, 553, 10.24033/asens.1496 Tsou, 1957, Metrizable Lie groups and algebras, Proc. Roy. Soc. Edinburgh Sect. A, LXIV, 290 Benamor, 1999, Double extension of quadratic Lie superalgebras, Comm. Algebra, 27, 67, 10.1080/00927879908826421 Benayadi, 2000, Quadratic Lie superalgebras with the completely reducible action of the even part on the odd part, J. Algebra, 223, 344, 10.1006/jabr.1999.8067 Berezin, 1978, The structure of Lie superalgebras with semisimple even part, Funct. Anal. Appl., 12, 48, 10.1007/BF01077564 Elduque, 1996, Lie superalgebras with semisimple even part, J. Algebra, 138, 649, 10.1006/jabr.1996.0237 Albuquerque, 2009, Quadratic Lie superalgebras with a reductive even part, J. Pure Appl. Algebra, 213, 724, 10.1016/j.jpaa.2008.09.016 I. Bajo, S. Benayadi, M. Bordemann, Generalized double extension and descriptions of quadratic Lie superalgebras, 2007. arXiv:math-ph/0712.0228 Salgado, 2003, Lie superalgebras based on gln associated to the adjoint representation and invariant geometric structures defined on them, Comm. Math. Phys., 241, 505, 10.1007/s00220-003-0930-5 Benayadi, 2003, Socle and some invariants of quadratic Lie superalgebras, J. Algebra, 261, 245, 10.1016/S0021-8693(02)00682-8 Myung, 1986, vol. 64