Representations of the real forms of calibrated analogue of the Lie algebra

• Date: 1992
• Main Authors: Ostrovsky, V.L., Silvestrov, S.D., Островский, В.Л., Сильвестров, С.Д.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8254
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Real-valued forms of the ${\mathbb Z}_2^n$ -graded analogue of the Lie algebra $sl(2, {\mathbb C})$ are described and their irreducible representations are studied.