Integrable modules for twisted toroidal extended affine Lie algebras

DOI10.1016/j.jalgebra.2020.02.043zbMath1477.17080arXiv1802.09823OpenAlexW3016616819WikidataQ115350481 ScholiaQ115350481MaRDI QIDQ2178544

Sachin S. Sharma, Punita Batra, Senapathi Eswara Rao

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1802.09823

zbMATH Keywords

Lie torusextended affine Lie algebras (EALA), toroidal EALAs, twisted toroidal EALAs, divergence zero vector fields

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie algebras of vector fields and related (super) algebras (17B66)

Related Items (7)

Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras ⋮ Irreducible integrable modules for the full toroidal Lie algebras coordinated by rational quantum torus ⋮ Hamiltonian extended affine Lie algebra and its representation theory ⋮ Unnamed Item ⋮ Classification of integrable representations for toroidal extended affine Lie algebras ⋮ Integrable modules for graded Lie tori with finite-dimensional weight spaces ⋮ Irreducible modules of toroidal Lie algebras arising from \(\phi_\varepsilon\)-coordinated modules of vertex algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Irreducible modules for extended affine Lie algebras
• Classification of irreducible integrable representations for the full toroidal Lie algebras
• On certain categories of modules for affine Lie algebras
• Lie tori -- a simple characterization of extended affine Lie algebras
• Representations of toroidal extended affine Lie algebras
• Multiloop Lie algebras and the construction of extended affine Lie algebras
• Integrable representations for generalized Virasoro-toroidal Lie algebras.
• Integrable representations for toroidal extended affine Lie algebras
• Classification of category \(\mathcal{J}\) modules for divergence zero vector fields on a torus
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Irreducible representations for toroidal Lie-algebras
• Partial classification of modules for the algebra of skew-derivations over the d-dimensional torus
• Multiloop realization of extended affine Lie algebras and Lie tori
• Graded level zero integrable representations of affine Lie algebras
• On Integrable modules for the twisted full toroidal Lie algebra
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Jet modules for the centerless Virasoro-like algebra
• Irreducible finite-dimensional representations of equivariant map algebras

This page was built for publication: Integrable modules for twisted toroidal extended affine Lie algebras