Splints of root systems of Lie superalgebras

2017/07/20 by Rudra Narayan Padhan, Padhan, Rudra Narayan, K. C. Pati +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1707.06454

openalex publication_date 2017/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Splints of root system of simple lie algebras appears naturally on studies of embedding of reductive subalgebras. A splint can be used to construct a branching rules as implementation of this idea simplifies calculation of branching coefficient. We extend the concept of splints to classical lie superalgebras cases as these algebras have wide application in physics.

Related

• Splints of root systems on Lie Superalgebras
• Splints of classical root systems
• Branching Rules For Splint Root Systems
• On affine extension of splint root systems
• Branching algebras for the general linear Lie superalgebra