About: Weyl–Brauer matrices

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In mathematics, particularly in the theory of spinors, the Weyl–Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra of 2⌊n/2⌋ × 2⌊n/2⌋ matrices. They generalize the Pauli matrices to n dimensions, and are a specific construction of higher-dimensional gamma matrices. They are named for Richard Brauer and Hermann Weyl, and were one of the earliest systematic constructions of spinors from a representation theoretic standpoint.

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rdf:type	organisation
rdfs:label	Weyl–Brauer matrices (en)
rdfs:comment	In mathematics, particularly in the theory of spinors, the Weyl–Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra of 2⌊n/2⌋ × 2⌊n/2⌋ matrices. They generalize the Pauli matrices to n dimensions, and are a specific construction of higher-dimensional gamma matrices. They are named for Richard Brauer and Hermann Weyl, and were one of the earliest systematic constructions of spinors from a representation theoretic standpoint. (en)
sameAs	Weyl–Brauer matrices
dbp:wikiPageUsesTemplate	dbt:Math dbt:Mvar
Subject	Clifford algebras Spinors Matrices
gold:hypernym	Realization
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Weyl–Brauer_matrices?oldid=989233738&ns=0
Wikipage page ID	11120053 (xsd:integer)
page length (characters) of wiki page	9858 (xsd:nonNegativeInteger)
Wikipage revision ID	989233738 (xsd:integer)
has abstract	In mathematics, particularly in the theory of spinors, the Weyl–Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra of 2⌊n/2⌋ × 2⌊n/2⌋ matrices. They generalize the Pauli matrices to n dimensions, and are a specific construction of higher-dimensional gamma matrices. They are named for Richard Brauer and Hermann Weyl, and were one of the earliest systematic constructions of spinors from a representation theoretic standpoint. The matrices are formed by taking tensor products of the Pauli matrices, and the space of spinors in n dimensions may then be realized as the column vectors of size 2⌊n/2⌋ on which the Weyl–Brauer matrices act. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Weyl–Brauer_matrices
is Wikipage redirect of	Weyl-Brauer matrices
is Link from a Wikipage to another Wikipage of	List of things named after Hermann Weyl Bargmann–Wigner equations C-symmetry Generalizations of Pauli matrices Clifford module Higher-dimensional gamma matrices

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