2017/02/02 by Yangjiang Wei, Yi Ming Zou · 25 citations
Mathematics · Physics and Astronomy · #Adjoint representation #Adjoint representation of a Lie algebra #Advanced Topics in Algebra #Affine Lie algebra #Algebra over a field #Algebraic structures and combinatorial models #Cartan decomposition #Cartan matrix #Cartan subalgebra #Current algebra #Fundamental representation #Graded Lie algebra #Kac–Moody algebra #Killing form #Lie algebra #Lie conformal algebra #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Real form #Representation of a Lie group #Simple (philosophy) #Simple Lie group #Weight #math.RT #msc:15A09 #msc:17B99
paper · pdf · doi:10.1016/j.laa.2017.01.036
published in Linear Algebra and its Applications 521, 283-298 (Elsevier BV)
openalex publication_date 2017/02/02 · openalex created_date 2017/02/10 · arxiv created 2017/11/03 · arxiv updated 2017/11/07 · openalex updated_date 2026/08/05
We derive explicit formulas for the inverses of the Cartan matrices of the simple Lie algebras and the basic classical Lie superalgebras, as well as for their infinite generalizations.