Geodesic
On the Relation of Real and Complex Lie Supergroups
Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 281-284

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DOI

A complex Lie supergroup can be described as a real Lie supergroup with integrable almost complex structure. The necessary and sufficient conditions on an almost complex structure on a real Lie supergroup for defining a complex Lie supergroup are deduced. The classification of real Lie supergroups with such almost complex structures yields a new approach to the known classification of complex Lie supergroups by complexHarish-Chandra superpairs. A universal complexification of a real Lie supergroup is constructed.
DOI : 10.4153/CMB-2015-010-9
Mots-clés : 32C11, 58A50, Lie supergroup, almost complex structure, Harish–Chandra pair, universalcomplexification 
Kalus, Matthias. On the Relation of Real and Complex Lie Supergroups. Canadian mathematical bulletin, Tome 58 (2015) no. 2, pp. 281-284. doi: 10.4153/CMB-2015-010-9
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     author = {Kalus, Matthias},
     title = {On the {Relation} of {Real} and {Complex} {Lie} {Supergroups}},
     journal = {Canadian mathematical bulletin},
     pages = {281--284},
     year = {2015},
     volume = {58},
     number = {2},
     doi = {10.4153/CMB-2015-010-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-010-9/}
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