2 citations · 2 across the 4 of their papers we have counts for
6 papers
-systems of symmetrizable Kac-Moody algebras
Lisa Carbone, K. N. Raghavan, Biswajit Ransingh +2
As part of his classification of regular semisimple subalgebras of semisimple Lie algebras, Dynkin introduced the notion of a -system. This is a subset of the roots such that pa…
Defining relations and flip Dynkin superdiagrams
B. Ransingh
The motivation comes from boson fermion correspondence. This article shows for each fermionic root there is correspondence a bosonic root, as a result we get for each Dynkin diagra…
Vogan diagrams of affine twisted Lie superalgebras
Biswajit Ransingh
A Vogan diagram is a Dynkin diagram with a Cartan involution of twisted affine superlagebras based on maximally compact Cartan subalgebras. This article construct the Vogan diagram…
Double Vogan superdiagrams of Lie superalgebras and symmetric superspaces
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 intr…
Vogan diagrams of Affine Kac-Moody Superalgebras
B. Ransingh
This article classifies the Vogan diagram of the affine untwisted Kac Moody superalgebras.
Vogan diagrams of hyperbolic Kac-Moody algebras
B. Ransingh, K. C. Pati
This paper constructs the Vogan diagrams for hyperbolic Kac- Moody algebras, which have potential physical applications in cosmological billiards.