Journal of Lie Theory

no. 1
Real Forms of Contragredient Lie Superalgebras with Isomorphic Even Parts
Meng-Kiat Chuah1; Rita Fioresi2
1Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan
2Dipartimento di Matematica, University of Bologna, Piazza Porta San Donato 5, 40126 Bologna, Italy
Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 239-246
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.
DOI: 10.5802/jolt.1056
Classification: 17B20, 17B22, 17B40
Keywords: Contragredient Lie superalgebras, real forms, Dynkin diagrams

Meng-Kiat Chuah  1 ; Rita Fioresi  2

1 Department of Mathematics, National Tsing Hua University, Hsinchu 300, Taiwan
2 Dipartimento di Matematica, University of Bologna, Piazza Porta San Donato 5, 40126 Bologna, Italy 
Meng-Kiat Chuah; Rita Fioresi. Real Forms of Contragredient Lie Superalgebras with Isomorphic Even Parts. Journal of Lie Theory, Volume 29 (2019) no. 1, pp. 239-246. doi: 10.5802/jolt.1056
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