Non-recursive Multiplicity Formulas for an Lie Algebras
نویسنده
چکیده
It is shown that there are infinitely many formulas to calculate multiplicities of weights participating in irreducible representations of AN Lie algebras. On contrary to the recursive character of Kostant and Freudenthal multiplicity formulas, they provide us systems of linear algebraic equations with N-dependent polinomial coefficients. These polinomial coefficients are in fact related with polinomials which represent eigenvalues of Casimir operators.
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