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math-ph2026
Split Casimir Operator of the Lie Algebra so(2r) in Spinor Representations, Colour Factors and Yang-Baxter Equation
A. P. Isaev, A. A. Provorov
In this paper, we derive characteristic identities for the split Casimir operator of the Lie algebra in tensor products of spinor representations of the same and opposite…
math-ph2024★ 2 cited
The split 5-Casimir operator and the structure of
Alexey P. Isaev, Sergey O. Krivonos
In the present paper, using the split Casimir operators we have found the decomposition of the antisymmetric part of . This decomposition contains the re…
math-ph2023
The uniform structure of
Maneh Avetisyan, Alexey Isaev, Sergey Krivonos +1
We obtain a uniform decomposition into Casimir eigenspaces (most of which are irreducible) of the fourth power of the adjoint representation for all simp…