Bosonic and Fermionic Realizations of The Affine Algebra sˆo2n

DOI10.1080/00927879208824509zbMath0774.17034OpenAlexW2019791110MaRDI QIDQ4029257

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

Publication date: 10 March 1993

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879208824509

zbMATH Keywords

affine Lie algebrasvertex operatorsHeisenberg subalgebraslevel one integrable highest weight 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) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (6)

Level-one representations of the affine Lie algebra \(B^{(1)}_ n\) ⋮ Bosonic free field realization of twisted 2-toroidal Lie algebras ⋮ Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras ⋮ Hirota quadratic equations for the Gromov-Witten invariants of \(\mathbb{P}_{n - 2 , 2 , 2}^1\) ⋮ Matrix model for the total descendant potential of a simple singularity of type \(D\) ⋮ Bihamiltonian structure of the two-component Kadomtsev–Petviashvili hierarchy of type B

Cites Work

• The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities
• Unitary representations of some infinite dimensional groups
• Bosonic and fermionic realizations of the affine algebra \(\widehat {gl_ n}\)
• Construction of the affine Lie algebra \(A^{(1)}_1\)
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