About: Steinberg formula

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Steinberg formula Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.org associated with source document(s)
QRcode icon

http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FSteinberg_formula

In mathematical representation theory, Steinberg's formula, introduced by Steinberg, describes the multiplicity of an irreducible representation of a semisimple complex Lie algebra in a tensor product of two irreducible representations.It is a consequence of the Weyl character formula, and for the Lie algebra sl2 it is essentially the Clebsch–Gordan formula. Steinberg's formula states that the multiplicity of the irreducible representation of highest weight ν in the tensor product of the irreducible representations with highest weights λ and μ is given by

Attributes	Values
rdfs:label	Steinberg formula (en)
rdfs:comment	In mathematical representation theory, Steinberg's formula, introduced by Steinberg, describes the multiplicity of an irreducible representation of a semisimple complex Lie algebra in a tensor product of two irreducible representations.It is a consequence of the Weyl character formula, and for the Lie algebra sl2 it is essentially the Clebsch–Gordan formula. Steinberg's formula states that the multiplicity of the irreducible representation of highest weight ν in the tensor product of the irreducible representations with highest weights λ and μ is given by (en)
dcterms:subject	Representation theory Theorems in harmonic analysis
Wikipage page ID	37657589 (xsd:integer)
Wikipage revision ID	1084685491 (xsd:integer)
Link from a Wikipage to another Wikipage	Multiplicity (mathematics) Representation theory Determinant Lie algebra Irreducible representation Kostant partition function Tensor product Representation theory Theorems in harmonic analysis Bulletin of the AMS Special linear Lie algebra Weyl character formula Weyl group Weyl vector Springer-Verlag Clebsch–Gordan formula
Link from a Wikipage to an external page	http://www.springerlink.com/content/978-3-540-43405-4
sameAs	Steinberg formula Steinberg formula Steinberg formula Steinberg formula
dbp:wikiPageUsesTemplate	dbt:Cbignore dbt:Citation dbt:Dead_link dbt:Short_description dbt:Harvs
bot	medic (en)
date	May 2020 (en)
has abstract	In mathematical representation theory, Steinberg's formula, introduced by Steinberg, describes the multiplicity of an irreducible representation of a semisimple complex Lie algebra in a tensor product of two irreducible representations.It is a consequence of the Weyl character formula, and for the Lie algebra sl2 it is essentially the Clebsch–Gordan formula. Steinberg's formula states that the multiplicity of the irreducible representation of highest weight ν in the tensor product of the irreducible representations with highest weights λ and μ is given by where W is the Weyl group, ε is the determinant of an element of the Weyl group, ρ is the Weyl vector, and P is the Kostant partition function giving the number of ways of writing a vector as a sum of positive roots. (en)
prov:wasDerivedFrom	wikipedia-en:Steinberg_formula?oldid=1084685491&ns=0
page length (characters) of wiki page	1942 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Steinberg_formula
is Link from a Wikipage to another Wikipage of	Steinberg's formula
is Wikipage redirect of	Steinberg's formula
is foaf:primaryTopic of	wikipedia-en:Steinberg_formula

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (62 GB total memory, 40 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software