A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf.
Double Vogan diagrams and semisimple symmetric spaces
2009
Transactions of the American Mathematical Society
Preserved Fulltext
A Vogan diagram is a set of involution and painting on a Dynkin diagram. It selects a real form, or equivalently an involution, from a complex simple Lie algebra. We introduce the double Vogan diagram, which is two sets of Vogan diagrams superimposed on an affine Dynkin diagram. They correspond to pairs of commuting involutions on complex simple Lie algebras, and therefore provide an independent classification of the simple locally symmetric pairs.
doi:10.1090/s0002-9947-09-04895-8
fatcat:niafximwxvbwpfdyswovcxplxm