Contents Online
Mathematical Research Letters
Volume 20 (2013)
Number 3
Double Vogan diagrams and irreducible pseudo-Hermitian symmetric spaces
Pages: 477 – 487
DOI: https://dx.doi.org/10.4310/MRL.2013.v20.n3.a6
Author
Abstract
Let $G$ be a real simple Lie group with Lie algebra $\mathfrak{g}$. We consider additional structures on the Dynkin diagram of the complexification of $\mathfrak{g}$, known as the double Vogan diagrams. They lead to a combinatorial classification of the pseudo-Hermitian symmetric spaces of $G$.
Keywords
pseudo-Hermitian symmetric space, real simple Lie algebra, Dynkin diagram
2010 Mathematics Subject Classification
17B20, 53C35
Published 9 January 2014