Unitary Modules for EALAs Co-ordinatized by a Quantum Torus
From MaRDI portal
Publication:4807580
DOI10.1081/AGB-120018995zbMath1106.17029OpenAlexW2071685022MaRDI QIDQ4807580
Publication date: 19 May 2003
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/agb-120018995
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (5)
Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\) ⋮ Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori ⋮ A class of irreducible modules for the extended affine Lie algebra \(\widetilde{\mathfrak{gl}}_l(\mathbb{C}_q)\) ⋮ Localization of highest weight modules of a class of extended affine Lie algebras ⋮ Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus
Cites Work
- Unnamed Item
- Unnamed Item
- Extended affine Lie algebras and their vertex representations
- Toroidal Lie algebras and vertex representations
- Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
- Central extensions of current groups in two dimensions
- 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
- Quantum tori and the structure of elliptic quasi-simple Lie algebras
- 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.
This page was built for publication: Unitary Modules for EALAs Co-ordinatized by a Quantum Torus