A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3)

DOI10.1007/BF01057302zbMath0614.17005WikidataQ115394511 ScholiaQ115394511MaRDI QIDQ1820225

Vyacheslav M. Futorny

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

A new category of lie algebra modules satisfying the bgg reciprocity principle ⋮ On the structure of an \(\alpha\)-stratified generalized Verma module over Lie algebra \(sl(n, \mathbb{C})\) ⋮ Generalized Verma modules over \(U_q(\mathfrak{sl}_n(\mathbb{C}))\) ⋮ Simple A₂-modules with a finite dimensional weight space ⋮ Gelfand-Tsetlin modules over \(\mathfrak{gl}(n)\) with arbitrary characters ⋮ Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\) ⋮ Generalized verma modules over the lie algebra of typeG₂ ⋮ Classification of simple Gelfand–Tsetlin modules of 𝔰𝔩(3)

Cites Work

• Irreducible Representations of A n with a 1-Dimensional Weight Space
• Unnamed Item

This page was built for publication: A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3)