Singular Degenerations of Lie Supergroups of Type D(2, 1; a)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Iohara, K., Gavarini, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209868
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Singular Degenerations of Lie Supergroups of Type D(2, 1; a) / K. Iohara, F. Gavarini // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 18 назв. — англ.

The complex Lie superalgebras g of type D(2, 1; a) - also denoted by osp(4, 2; a) - are usually considered for "non-singular" values of the parameter a, for which they are simple. In this paper, we introduce five suitable integral forms of g that are well-defined at singular values too, gi...