Tuesday, February 19, 2013

1302.4203 (Biswajit Ransingh)

Double Vogan superdiagrams of Lie superalgebras and semisymmetric

Biswajit Ransingh
A Vogan superdiagram 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 superalgebra. We introduce the double Vogan superdiagram, which is two sets of Vogan superdiagrams superimposed on an affine Dynkin diagram. They correspond to pairs of commuting involutions on complex simple Lie superalgebras, and therefore provide an independent classification of the simple locally symmetric or semisymmetric superpairs.
View original: http://arxiv.org/abs/1302.4203

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