dorsal/arxiv
View SchemaNon-Recursive Multiplicity Formulas for $A_N$ Lie Algebras
| Authors | H. R. Karadayi |
|---|---|
| Categories | |
| ArXiv ID | physics/9611008 |
| URL | https://arxiv.org/abs/physics/9611008 |
Abstract
It is shown that there are infinitely many formulas to calculate multiplicities of weights participating in irreducible representations of $A_N$ Lie algebras. On contrary to 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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"abstract": "It is shown that there are infinitely many formulas to calculate\nmultiplicities of weights participating in irreducible representations of $A_N$\nLie algebras. On contrary to recursive character of Kostant and Freudenthal\nmultiplicity formulas, they provide us systems of linear algebraic equations\nwith N-dependent polinomial coefficients. These polinomial coefficients are in\nfact related with polinomials which represent eigenvalues of Casimir operators.",
"arxiv_id": "physics/9611008",
"authors": [
"H. R. Karadayi"
],
"categories": [
"math-ph",
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"hep-th",
"math.AG",
"math.MP"
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"title": "Non-Recursive Multiplicity Formulas for $A_N$ Lie Algebras",
"url": "https://arxiv.org/abs/physics/9611008"
},
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