dorsal/arxiv
View SchemaAn Explicit Construction of Casimir Operators and Eigenvalues:II
| Authors | H. R. Karadayi, M. Gungormez |
|---|---|
| Categories | |
| ArXiv ID | physics/9611002 |
| URL | https://arxiv.org/abs/physics/9611002 |
| DOI | 10.1063/1.532176 |
| Journal | J.Math.Phys. 38 (1997) 5991-6007 |
Abstract
It is given a way of computing Casimir eigenvalues for Weyl orbits as well as for irreducible representations of Lie algebras. A kappa(s) number of polinomials which depend on rank N are obtained explicitly for A_N Casimir operators of order s where kappa(s) is the number of partitions of s into positive integers except 1. It is also emphasized that these eigenvalue polinomials prove useful in obtaining formulas to calculate weight multiplicities and in explicit calculations of the whole cohomology ring of Classical and also Exceptional Lie algebras.
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"abstract": "It is given a way of computing Casimir eigenvalues for Weyl orbits as well as\nfor irreducible representations of Lie algebras. A kappa(s) number of\npolinomials which depend on rank N are obtained explicitly for A_N Casimir\noperators of order s where kappa(s) is the number of partitions of s into\npositive integers except 1. It is also emphasized that these eigenvalue\npolinomials prove useful in obtaining formulas to calculate weight\nmultiplicities and in explicit calculations of the whole cohomology ring of\nClassical and also Exceptional Lie algebras.",
"arxiv_id": "physics/9611002",
"authors": [
"H. R. Karadayi",
"M. Gungormez"
],
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"math-ph",
"alg-geom",
"hep-th",
"math.AG",
"math.MP"
],
"doi": "10.1063/1.532176",
"journal_ref": "J.Math.Phys. 38 (1997) 5991-6007",
"title": "An Explicit Construction of Casimir Operators and Eigenvalues:II",
"url": "https://arxiv.org/abs/physics/9611002"
},
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