Journal of Lie Theory 29 (2019), No. 1, 239--246
Copyright Heldermann Verlag 2019
Real Forms of Contragredient Lie Superalgebras with Isomorphic Even Parts
Meng-Kiat Chuah
Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan
chuah@math.nthu.edu.tw
Rita Fioresi
Dipartimento di Matematica, University of Bologna, Piazza Porta San Donato 5, 40126 Bologna, Italy
rita.fioresi@unibo.it
We study how the real forms fg of contragredient Lie superalgebras are determined by their even parts. We prove that if the even parts of fg and fg' are inner isomorphic, then fg and fg' are inner isomorphic. Also, if the even parts of fg and fg' are isomorphic, then fg and fg' are isomorphic.
Keywords: Contragredient Lie superalgebras, real forms, Dynkin diagrams.
MSC: 17B20, 17B22, 17B40
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