Representations of Kac–Moody algebras by step algebras

DOI10.1063/1.526617zbMath0557.22010OpenAlexW2075921978MaRDI QIDQ3222388

Jouko Mickelsson

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526617

zbMATH Keywords

Kac-Moody algebra\(\mathfrak{su}(3)\)\(\mathfrak{su}(2)\)

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (3)

Kac-Moody groups, topology of the Dirac determinant bundle, and fermionization ⋮ Infinite commutative product formulas for relative extremal projectors ⋮ Relative extremal projectors

Cites Work

• Transformation theory for anti-self-dual equations
• Discrete series of Lie superalgebras
• A commutative model of presentation of the group of flows \(SL(2,R)^ X\) that is connected with a unipotent subgroup
• On a relation between massive Yang-Mills theories and dual string models
• Step algebras of semi-simple subalgebras of Lie algebras
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• On certain irreducible modules of the Lie algebra gl(4,C)
• On the irreducible representations of the Lie algebra chain G2⊇A2
• Raising and lowering operators for the orthogonal groups

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