Dual pairs on spinors. Cases of \((C_ m,C_ n)\) and \((C_ m^{(1)},C_ n^{(1)})\)

DOI10.3792/pjaa.63.400zbMath0641.17009OpenAlexW2001349093MaRDI QIDQ1100546

Kohji Hasegawa

Publication date: 1987

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.63.400

zbMATH Keywords

dualitiesVirasoro algebracommutantbranching rulesYoung diagramsdual pairfermion Fock spacehighest weight vectorsaffine Kac- Moody Lie algebracoset representationsseesaw pairspinor versions of Weyl's reciprocity theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items

Dual pairs on spinors. Cases of \((C_ m,C_ n)\) and \((C_ m^{(1)},C_ n^{(1)})\), Spin module versions of Weyl's reciprocity theorem for classical Kac- Moody Lie algebras. An application to branching rule duality

Cites Work

• Dual pairs on spinors. Cases of \((C_ m,C_ n)\) and \((C_ m^{(1)},C_ n^{(1)})\)
• Modular and conformal invariance constraints in representation theory of affine algebras
• Spinor representations of affine Lie algebras
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