Journal of Lie Theory

no. 1
Real Forms of Contragredient Lie Superalgebras with Isomorphic Even Parts
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 
@article{JOLT_2019_29_1_a10,
     author = {M.-K. Chuah and R. Fioresi},
     title = {Real {Forms} of {Contragredient} {Lie} {Superalgebras} with {Isomorphic} {Even} {Parts}},
     journal = {Journal of Lie Theory},
     pages = {239--246},
     year = {2019},
     volume = {29},
     number = {1},
     doi = {10.5802/jolt.1056},
     zbl = {1436.17016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1056/}
}
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M.-K. Chuah; R. 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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