Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Universal_enveloping_algebra> ?p ?o. }
Showing items 1 to 39 of
39
with 100 items per page.
- Universal_enveloping_algebra abstract "In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U(L). This construction passes from the non-associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which captures the important properties of L.Any associative algebra A over the field K becomes a Lie algebra over K with the Lie bracket:[a,b] = ab − ba.That is, from an associative product, one can construct a Lie bracket by taking the commutator with respect to that associative product. Denote this Lie algebra by AL.Construction of the universal enveloping algebra attempts to reverse this process: to a given Lie algebra L over K, find the "most general" unital associative K-algebra A such that the Lie algebra AL contains L; this algebra A is U(L). The important constraint is to preserve the representation theory: the representations of L correspond in a one-to-one manner to the modules over U(L). In a typical context where L is acting by infinitesimal transformations, the elements of U(L) act like differential operators, of all orders. Next to Lie algebras, the construction of the universal enveloping algebra has been generalized for Malcev algebras, Bol algebras and left alternative algebras.".
- Universal_enveloping_algebra wikiPageExternalLink books?isbn=0821805606.
- Universal_enveloping_algebra wikiPageExternalLink bookstore?fn=20&arg1=tb-aa&ikey=GSM-131%20.
- Universal_enveloping_algebra wikiPageID "363551".
- Universal_enveloping_algebra wikiPageRevisionID "604773540".
- Universal_enveloping_algebra hasPhotoCollection Universal_enveloping_algebra.
- Universal_enveloping_algebra subject Category:Hopf_algebras.
- Universal_enveloping_algebra subject Category:Lie_algebras.
- Universal_enveloping_algebra subject Category:Representation_theory.
- Universal_enveloping_algebra subject Category:Ring_theory.
- Universal_enveloping_algebra type Abstraction100002137.
- Universal_enveloping_algebra type Algebra106012726.
- Universal_enveloping_algebra type Cognition100023271.
- Universal_enveloping_algebra type Content105809192.
- Universal_enveloping_algebra type Discipline105996646.
- Universal_enveloping_algebra type HopfAlgebras.
- Universal_enveloping_algebra type KnowledgeDomain105999266.
- Universal_enveloping_algebra type LieAlgebras.
- Universal_enveloping_algebra type Mathematics106000644.
- Universal_enveloping_algebra type PsychologicalFeature100023100.
- Universal_enveloping_algebra type PureMathematics106003682.
- Universal_enveloping_algebra type Science105999797.
- Universal_enveloping_algebra comment "In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U(L).".
- Universal_enveloping_algebra label "Algèbre enveloppante".
- Universal_enveloping_algebra label "Universal enveloping algebra".
- Universal_enveloping_algebra label "Universelle einhüllende Algebra".
- Universal_enveloping_algebra label "Álgebra envelopante".
- Universal_enveloping_algebra label "Универсальная обёртывающая алгебра".
- Universal_enveloping_algebra label "泛包絡代數".
- Universal_enveloping_algebra sameAs Universelle_einhüllende_Algebra.
- Universal_enveloping_algebra sameAs Algèbre_enveloppante.
- Universal_enveloping_algebra sameAs 普遍包絡代数.
- Universal_enveloping_algebra sameAs Álgebra_envelopante.
- Universal_enveloping_algebra sameAs m.01_qc8.
- Universal_enveloping_algebra sameAs Q1673406.
- Universal_enveloping_algebra sameAs Q1673406.
- Universal_enveloping_algebra sameAs Universal_enveloping_algebra.
- Universal_enveloping_algebra wasDerivedFrom Universal_enveloping_algebra?oldid=604773540.
- Universal_enveloping_algebra isPrimaryTopicOf Universal_enveloping_algebra.