A class of integrable modules for the core of EALA coordinatized by quantum tori

DOI10.1016/j.jalgebra.2004.01.003zbMath1138.17009OpenAlexW2065074005MaRDI QIDQ1881110

Senapathi Eswara Rao

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.003

zbMATH Keywords

integrable modulesextended affine Lie algebras

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)

Related Items (11)

Integrable Representations for the Extended Affine Lie Algebra Coordinated by Quantum Tori in Two Variables ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ Constructing irreducible integrable modules for extended baby TKK algebra ⋮ Class of representations of skew derivation Lie algebra over quantum torus ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\) ⋮ Representations of some quantum tori Lie subalgebras ⋮ Localization of highest weight modules of a class of extended affine Lie algebras ⋮ Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra ⋮ Graded modules over the \(q\)-analog Virasoro-like algebra ⋮ Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extended affine Lie algebras and their vertex representations
• Toroidal Lie algebras and vertex representations
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Central extensions of current groups in two dimensions
• Enveloping algebras and representations of toroidal Lie algebras
• A characterization of affine Kac-Moody Lie algebras
• Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
• Classification and construction of quasisimple Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Iterated loop modules and a filteration for vertex representation of toroidal Lie algebras
• Extended affine Lie algebras and their root systems
• Representations of the virasoro-like algebra and itsq-Analog
• A New Class of Representations of EALA Coordinated by Quantum Tori in Two Variables
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
• The root system and the core of an extended affine Lie algebra.
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces

This page was built for publication: A class of integrable modules for the core of EALA coordinatized by quantum tori