Level one representations of the twisted affine algebras \(A^{(2)}_ n\) and \(D^{(2)}_ n\)

DOI10.1007/BF00737331zbMath0767.17021OpenAlexW2321784834MaRDI QIDQ1200443

A. P. E. ten Kroode, Johan W. van de Leur

Publication date: 16 January 1993

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00737331

zbMATH Keywords

Heisenberg algebravertex operatorfermionic fieldtwisted affine Lie algebraslevel one representations

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) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items

Level-one representations of the affine Lie algebra \(B^{(1)}_ n\) ⋮ Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras ⋮ The Adler–Shiota–van Moerbeke formula for the BKP hierarchy ⋮ On affine orbifold nets associated with outer automorphisms