The Complete Cohomology of $E_8$ Lie Algebra

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dc.creatorKaradayi, H. R.
dc.creatorGungormez, M.
dc.date1997-01-07
dc.date1997-01-13
dc.date.accessioned2026-07-07T10:15:47Z
dc.date.available2026-07-07T10:15:47Z
dc.descriptionIt is shown, for any irreducible representation of $E_8$ Lie algebra, that eigenvalues of Casimir operators can be calculated in the form of invariant polinomials which are decomposed in terms of $A_8$ 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 $E_8$ basis functions in the sense that any Casimir operator of $E_8$ has always eigenvalues which can be expressed as linear superpositions of them. This can be investigated by showing that each one of these $E_8$ basis functions gives us a linear equation to calculate weight multiplicities.
dc.description17 pages, in TeX file, change in e-mail address
dc.identifierhttps://arxiv.org/abs/physics/9701004
dc.identifierhttp://arxiv.org/abs/physics/9701004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173292
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleThe Complete Cohomology of $E_8$ Lie Algebra
dc.typetext

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