Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Chang_number> ?p ?o }
Showing triples 1 to 26 of
26
with 100 triples per page.
- Chang_number abstract "In mathematics, the Chang number of an irreducible representation of a simple complex Lie algebra is its dimension modulo 1 + h, where h is the Coxeter number. Chang numbers are named after Chang (1982), who rediscovered an element of order h + 1 found by Kac (1981).Kac (1981) showed that there is a unique class of regular elements σ of order h + 1, in the complex points of the corresponding Chevalley group. He showed that the trace of σ on an irreducible representation is −1, 0, or +1, and if h + 1 is prime then the trace is congruent to the dimension mod h+1. This implies that the dimension of an irreducible representation is always −1, 0, or +1 mod h + 1 whenever h + 1 is prime.".
- Chang_number wikiPageID "31837559".
- Chang_number wikiPageLength "2143".
- Chang_number wikiPageOutDegree "8".
- Chang_number wikiPageRevisionID "527723888".
- Chang_number wikiPageWikiLink Canadian_Journal_of_Mathematics.
- Chang_number wikiPageWikiLink Category:Representation_theory.
- Chang_number wikiPageWikiLink Coxeter_element.
- Chang_number wikiPageWikiLink G2_(mathematics).
- Chang_number wikiPageWikiLink Group_of_Lie_type.
- Chang_number wikiPageWikiLink Lie_algebra.
- Chang_number wikiPageWikiLink Regular_element_of_a_Lie_algebra.
- Chang_number wikiPageWikiLink Springer_Science+Business_Media.
- Chang_number wikiPageWikiLinkText "Chang number".
- Chang_number wikiPageUsesTemplate Template:Citation.
- Chang_number wikiPageUsesTemplate Template:Harvtxt.
- Chang_number subject Category:Representation_theory.
- Chang_number hypernym Number.
- Chang_number type Field.
- Chang_number comment "In mathematics, the Chang number of an irreducible representation of a simple complex Lie algebra is its dimension modulo 1 + h, where h is the Coxeter number. Chang numbers are named after Chang (1982), who rediscovered an element of order h + 1 found by Kac (1981).Kac (1981) showed that there is a unique class of regular elements σ of order h + 1, in the complex points of the corresponding Chevalley group.".
- Chang_number label "Chang number".
- Chang_number sameAs Q5071695.
- Chang_number sameAs m.0gttz4b.
- Chang_number sameAs Q5071695.
- Chang_number wasDerivedFrom Chang_number?oldid=527723888.
- Chang_number isPrimaryTopicOf Chang_number.