The supergroups of supersymmetry and supergravity as ordinary real Lie groups

Details The supergroups of supersymmetry and supergravity as ordinary real Lie groups The supergroups of supersymmetry and supergravity as ordinary real Lie groups

Nov 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14.1001e&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 11, pp.1001-1016

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The concept of Grassmannification of a Lie group, which is completely analogous to the concept of complexification of a Lie group, is introduced. Grassmannified Lie groups can also be viewed as ordinary real Lie groups. It is shown that every graded Lie algebra (= superalgebra) determines a subgroup (Kac-Berezin group, supergroup) in the Grassmannified full matrix group. On the other hand, it seems possible that not all supergroups can be found by a complete classification of all graded Lie algebras.

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