| Autor: |
Avetisyan, M., Isaev, A.P., Krivonos, S.O., Mkrtchyan, R. |
| Zdroj: |
Russian Journal of Mathematical Physics; Sep2024, Vol. 31 Issue 3, p379-388, 10p |
| Abstrakt: |
We obtain a uniform decomposition into Casimir eigenspaces (most of which are irreducible) of the fourth power of the adjoint representation for all simple Lie algebras. We present universal, in Vogel's sense, formulas for the dimensions and split Casimir operator's eigenvalues of all terms in this decomposition. We assume that a similar uniform decomposition into Casimir eigenspaces with universal dimension formulas exists for an arbitrary power of the adjoint representations. DOI 10.1134/S1061920824030038 [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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