Keyword

spin groups

Description: Mathematical groups that provide double covers of special orthogonal groups and describe spin-related symmetries in geometry and mathematical physics.

Primary topic: Algebraic and Geometric Analysis (31%)

Wikidata ID: wiki/Q2031467

OpenAlex ID: keywords/spin-groups

The Algebraic Theory of Spinors

1954 · Claude C. Chevalley · Columbia University Press eBooks · 696

Supersymmetry for Mathematicians: An Introduction

2004 · V. Varadarajan · Courant lecture notes in mathematics · 371

Spinors in n Dimensions

1935 · Richard Brauer, Hermann Weyl · American Journal of Mathematics · 363

Spinors and Calibrations

1990 · F. Reese Harvey · 355

Spin-Group Symmetry in Magnetic Materials with Negligible Spin-Orbit Coupling

2022 · Pengfei Liu, Jiayu Li, et al. · Physical Review X · 235

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The Algebraic Theory of Spinors and Clifford Algebras

1996 · Claude Chevalley · Springer eBooks · 187

The mod 2 cohomology rings of extra-special 2-groups and the spinor groups

1971 · Daniel Quillen · Mathematische Annalen · 185

Topological Geometry

1981 · Ian R. Porteous · Cambridge University Press eBooks · 184

Spin groups

1974 · D.B. Litvin, W. Opechowski · Physica · 173

Lie groups as spin groups

1993 · C. Doran, D. Hestenes, et al. · Journal of Mathematical Physics · 159

A Classification of Spinors Up to Dimension Twelve

1970 · Jun-Ichi Igusa · American Journal of Mathematics · 136

Clifford Algebras: An Introduction

2011 · D. J. H. Garling · Cambridge University Press eBooks · 123

A generalization of the Littlewood-Richardson rule

1990 · Peter Littelmann · Journal of Algebra · 103

Vertex operators, symmetric functions, and the spin group Γn

1991 · Naihuan Jing · Journal of Algebra · 102

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Clifford Algebras and Lie Theory

2013 · Eckhard Meinrenken · Ergebnisse der Mathematik und ihrer Grenzgebiete · 99

Clifford Algebras and Spinor Norms Over a Commutative Ring

1974 · Hyman Bass · American Journal of Mathematics · 99

Twisted supersymmetric gauge theories and orbifold lattices

2006 · Mithat Ünsal · Journal of High Energy Physics · 95

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Super-moonshine for Conway's largest sporadic group

2007 · John F. Duncan · Duke Mathematical Journal · 80

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Spinor algebras

2001 · R. D’Auria, S. Ferrara, et al. · Journal of Geometry and Physics · 79

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Relations among characteristic numbers—I

1965 · R.E. Stong · Topology · 73

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Clifford algebras and spinors

2012 · Daniel Z. Freedman, Antoine Van Proeyen · Cambridge University Press eBooks · 72

Cohomological invariants: exceptional groups and spin groups

2009 · Skip Garibaldi · Memoirs of the American Mathematical Society · 67

Altermagnetism and magnetic groups with pseudoscalar electron spin

2022 · Ilja Turek · Physical review. B./Physical review. B · 62

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Covariant, algebraic, and operator spinors

1990 · V. L. Figueiredo, E. Capelas de Oliveira, et al. · International Journal of Theoretical Physics · 62

Mirror symmetry for abelian varieties

1998 · Golyshev, Vasily, Lunts, Valery, et al. · arXiv (Cornell University) · 59

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Works count: 703

Citation count: 7,112