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Spin representation

In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are two equivalent representations of the spin groups, which are double covers of the special orthogonal groups. They…

Art, Complex spin representations & Set-up

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Set-up

Complex spin representations

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Map overview Semantic statistics

Spin representation

Nodes77
Edges76
Triples28
Avg. degree1.97
Density0.025974
Components1

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Spin representation

Top relations

related to Real representations · 9
Spin representation → However, It, Lie, SH, SR, The, There, These, This
related to Isotropic subspaces and root systems · 8
Spin representation → Hence, If, Let, Similarly, Suppose, The, Then, We
related to Description and tables · 7
Spin representation → Apart, Clifford, Hence, KL, Since, The, To
related to Spin representations and their weights · 2
Spin representation → One, There

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Important terminology

spin representations real displaystyle complex clifford representation odd algebra even group form action orthogonal dimension invariant operatorname bilinear spinors mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the electron.The spin representations may be constructed in several waysinstance ofThey play an important role in the physical description of fermions0.80text
but typically the construction involvesinstance ofThey play an important role in the physical description of fermions0.80text
Spin representationrelated to Description and tablesTo0.60section
Spin representationrelated to Description and tablesSince0.60section
Spin representationrelated to Description and tablesThe0.60section
Spin representationrelated to Description and tablesApart0.60section
Spin representationrelated to Description and tablesClifford0.60section
Spin representationrelated to Description and tablesKL0.60section
Spin representationrelated to Description and tablesHence0.60section
Spin representationrelated to Isotropic subspaces and root systemsSuppose0.60section
Spin representationrelated to Isotropic subspaces and root systemsThen0.60section
Spin representationrelated to Isotropic subspaces and root systemsWe0.60section

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