About: Hypoalgebra

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In algebra, a hypoalgebra is a generalization of a subalgebra of a Lie algebra introduced by . The relation between an algebra and a hypoalgebra is called a subjoining, which generalizes the notion of an inclusion of subalgebras. There is also a notion of restriction of a representation of a Lie algebra to a subjoined hypoalgebra, with branching rules similar to those for restriction to subalgebras except that some of the multiplicities in the branching rule may be negative. W. G. McKay, J. Patera, and D. W. Rand calculated many of these branching rules for hypoalgebras.

Property	Value
dbo:abstract	In algebra, a hypoalgebra is a generalization of a subalgebra of a Lie algebra introduced by . The relation between an algebra and a hypoalgebra is called a subjoining, which generalizes the notion of an inclusion of subalgebras. There is also a notion of restriction of a representation of a Lie algebra to a subjoined hypoalgebra, with branching rules similar to those for restriction to subalgebras except that some of the multiplicities in the branching rule may be negative. W. G. McKay, J. Patera, and D. W. Rand calculated many of these branching rules for hypoalgebras. (en)
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dbo:wikiPageWikiLink	dbc:Lie_algebras dbr:Lie_algebra dbr:Journal_of_Mathematical_Physics dbr:Subalgebra dbr:Branching_rule dbr:Multiplicities
dbp:first	J. (en) W. G. (en) D. W. (en)
dbp:last	McKay (en) Rand (en) Patera (en)
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dbp:year	1990 (xsd:integer)
dcterms:subject	dbc:Lie_algebras
gold:hypernym	dbr:Generalization
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rdfs:comment	In algebra, a hypoalgebra is a generalization of a subalgebra of a Lie algebra introduced by . The relation between an algebra and a hypoalgebra is called a subjoining, which generalizes the notion of an inclusion of subalgebras. There is also a notion of restriction of a representation of a Lie algebra to a subjoined hypoalgebra, with branching rules similar to those for restriction to subalgebras except that some of the multiplicities in the branching rule may be negative. W. G. McKay, J. Patera, and D. W. Rand calculated many of these branching rules for hypoalgebras. (en)
rdfs:label	Hypoalgebra (en)
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