Hermitian representations of a TKK algebra

DOI10.1016/j.jalgebra.2021.07.026zbMath1484.17038OpenAlexW3190574809MaRDI QIDQ1984342

Yun Gao, Zi Ting Zeng

Publication date: 16 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2021.07.026

zbMATH Keywords

Hermitian formfree fieldsextended affine Lie algebraTKK algebra

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 (1)

Vertex algebras and TKK algebras

Cites Work

• A class of irreducible integrable modules for the extended baby TKK algebra
• Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\)
• Vertex operator representations for TKK algebras
• Graded automorphism group of TKK algebra
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• TKK algebras and vertex operator representations
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Constructing irreducible integrable modules for extended baby TKK algebra
• Irreducible Representations for the Baby Tits–Kantor–Koecher Algebra
• Extended affine Lie algebras and their root systems
• The Alternative Torus and the Structure of Elliptic Quasi-Simple Lie Algebras of Type A 2
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