Non-Recursive Multiplicity Formulas for $A_N$ Lie Algebras
Karadayi, H. R.
arXiv, 9611008 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1996-11-11
Classification:  Mathematical Physics,  High Energy Physics - Theory,  Mathematics - Algebraic Geometry 
@article{9611008,
     author = {Karadayi, H. R.},
     title = {Non-Recursive Multiplicity Formulas for $A\_N$ Lie Algebras},
     journal = {arXiv},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9611008}
}

Karadayi, H. R. Non-Recursive Multiplicity Formulas for $A_N$ Lie Algebras. arXiv, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/9611008/