1997/01/07 by Hasan R. Karadayi, H. R. Karadayi, Karadayi, H. R. +2
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA #q-alg
paper · pdf · doi:10.48550/arxiv.physics/9701004
17 pages, in TeX file, change in e-mail address
openalex publication_date 1997/01/07 · arxiv created 1997/01/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown, for any irreducible representation of E8 Lie algebra, that eigenvalues of Casimir operators can be calculated in the form of invariant polinomials which are decomposed in terms of A8 basis functions. The general method is applied for degrees 8,12 and 14 for which 2,8 and 19 invariant polinomials are obtained respectively. For each particular degree, these invariant polinomials can be taken to be E8 basis functions in the sense that any Casimir operator of E8 has always eigenvalues which can be expressed as linear superpositions of them. This can be investigated by showing that each one of these E8 basis functions gives us a linear equation to calculate weight multiplicities.