Irreducible modules over finite simple Lie conformal superalgebras of type K

DOI10.1063/1.3397419zbMath1311.17005arXiv1003.4420OpenAlexW3101500310MaRDI QIDQ5251278

Carina Boyallian, Jose I. Liberati, Victor G. Kac

Publication date: 19 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4420

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Classification of finite irreducible conformal modules for K4′, Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras, Irreducible representations of the exceptional Cheng-Kac superalgebra, Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type, Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\), Irreducible representations of finite Lie conformal algebras of planar Galilean type, Computation of the homology of the complexes of finite Verma modules for \(K'_4\), Homology of the complexes of finite Verma modules over \(CK_6\), Some graded Hopf-module pseudoalgebras, Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond, Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras, Graded Modules over Superconformal Algebras, Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\), Representations of twisted infinite Lie conformal superalgebras

Cites Work

• Unnamed Item
• Unnamed Item
• Structure theory of finite conformal algebras
• Conformal modules
• Representations of the exceptional Lie superalgebra \(E(3,6)\). I: Degeneracy conditions
• Classification of finite simple Lie conformal superalgebras.
• Finite conformal modules over N=2,3,4 superconformal algebras
• Representations of simple finite Lie conformal superalgebras of type W and S
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• Lie groups beyond an introduction