REPRESENTATIONS OF THE EXCEPTIONAL LIE SUPERALGEBRA E(3,6) III: CLASSIFICATION OF SINGULAR VECTORS

DOI10.1142/S0219498805001095zbMath1063.17004arXivmath-ph/0310045WikidataQ115245715 ScholiaQ115245715MaRDI QIDQ4675791

Alexei Rudakov, Victor G. Kac

Publication date: 6 May 2005

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0310045

zbMATH Keywords

generalized Verma modulessingular vectorStandard Modellinearly compact Lie superalgebraIrreducible representation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Exceptional (super)algebras (17B25)

Related Items

Classification of finite irreducible conformal modules for K4′, Low degree morphisms of \(E(5,10)\)-generalized Verma modules, Computation of the homology of the complexes of finite Verma modules for \(K'_4\), Homology of the complexes of finite Verma modules over \(CK_6\), Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras, Classification of degenerate Verma modules for \(E(5, 10)\), Structure of classical affine and classical affine fractional W-algebras

Cites Work

• Classification of infinite-dimensional simple linearly compact Lie superalgebras
• Structure of some \(\mathbb Z\)-graded Lie superalgebras of vector fields
• Representations of the exceptional Lie superalgebra \(E(3,6)\). I: Degeneracy conditions
• Representations of the exceptional Lie superalgebra \(E(3,6)\). II: Four