dorsal/arxiv
View SchemaIrreducible Representations of an Algebra underlying Hidden Symmetries of a class of Quasi Exactly Solvable Systems of Equations
| Authors | Y. Brihaye, S. Giller, P. Kosinski, J. Nuyts |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9612009 |
| URL | https://arxiv.org/abs/solv-int/9612009 |
| DOI | 10.1007/s002200050133 |
Abstract
The set of linear, differential operators preserving the vector space of couples of polynomials of degrees n and n-2 in one real variable leads to an abstract associative graded algebra A(2). The irreducible, finite dimensional representations of this algebra are classified into five infinite discrete sets and one exceptional case. Their matrix elements are given explicitely. The results are related to the theory of quasi exactly solvable equations.
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"abstract": "The set of linear, differential operators preserving the vector space of\ncouples of polynomials of degrees n and n-2 in one real variable leads to an\nabstract associative graded algebra A(2). The irreducible, finite dimensional\nrepresentations of this algebra are classified into five infinite discrete sets\nand one exceptional case. Their matrix elements are given explicitely. The\nresults are related to the theory of quasi exactly solvable equations.",
"arxiv_id": "solv-int/9612009",
"authors": [
"Y. Brihaye",
"S. Giller",
"P. Kosinski",
"J. Nuyts"
],
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],
"doi": "10.1007/s002200050133",
"title": "Irreducible Representations of an Algebra underlying Hidden Symmetries of a class of Quasi Exactly Solvable Systems of Equations",
"url": "https://arxiv.org/abs/solv-int/9612009"
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