Lie Superalgebras Arising from Bosonic Representation

DOI10.1080/00927872.2012.713062zbMath1301.17020arXiv1207.2824OpenAlexW2962962347WikidataQ57423512 ScholiaQ57423512MaRDI QIDQ5409781

Naihuan Jing, Chong Bin Xu

Publication date: 14 April 2014

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

Full work available at URL: https://arxiv.org/abs/1207.2824

zbMATH Keywords

realizationbosonic fieldstoroidal Lie superalgebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (1)

Bosonic–fermionic realizations of root spaces and bilinear forms for Lie superalgebras

Cites Work

• Bosonic and fermionic representations of Lie algebra central extensions
• Bosonic realizations of higher-level toroidal Lie algebras
• Toroidal Lie algebras and vertex representations
• Fermionic realization of toroidal Lie algebras of classical types
• Fermionic realization of two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak{sl}}_n)\)
• Classical affine algebras
• Bosonic realization of toroidal Lie algebras of classical types
• Spinor representations of affine Lie algebras
• Spin and wedge representations of infinite-dimensional Lie algebras and groups
• Vertex operator representations for toroidal lie algebra of typeB_l
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra
• Lie superalgebras
• Central extensions of Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function
• Unnamed Item
• Unnamed Item

This page was built for publication: Lie Superalgebras Arising from Bosonic Representation