Enright functors for Kac-Moody superalgebras
type: Item
instance of: scholarly article
title: Enright functors for Kac-Moody superalgebras
zbMATH Open document ID: 1272.17013
author: Kenji Iohara
author: Yoshiyuki Koga
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 2013-02-06T00:00:00Z
review text: The authors formulate the definition of Enright's completion functor in the setup of Kac-Moody superalgebras. These functors are applied to prove results on uniqueness of homomorphisms between Verma modules and to obtain a formula for singular vectors in Verma modules.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 6134641
zbMATH Keywords: Kac-Moody superalgebra
zbMATH Keywords: Verma module
zbMATH Keywords: Enright's functor
zbMATH Keywords: singular vector
MaRDI profile type: Publication
full work available at URL: s12188-012-0071-x
OpenAlex ID: W2037759360
cites work: Q3921371
cites work: Tilting Modules for Lie Superalgebras
cites work: On a construction of representations and a problem of Enright
cites work: On the fundamental series of a real semisimple Lie algebra: their irreducibility, resolutions and multiplicity formulae
cites work: The Enright functor on the Bernstein-Gelfand-Gelfand category O
cites work: Rings of skew polynomials and Gel'fand-Kirillov conjecture for quantum groups
cites work: Fusion algebras for \(N=1\) superconformal field theories through coinvariants. I: \(\widehat{osp}(1|2)\)-symmetry
cites work: Tilting equivalence for superconformal algebras
cites work: Q3693664
cites work: Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
cites work: Q4040877
cites work: Structure of representations with highest weight of infinite-dimensional Lie algebras
cites work: Enright's completions and injectively copresented modules
cites work: Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case.
cites work: Q2776114
cites work: Classification of irreducible weight modules
cites work: Singular vectors in Verma modules over Kac-Moody algebras
cites work: Kac–Moody Superalgebras and Integrability
cites work: Structure of certain induced representations of complex semisimple Lie algebras
DOI: 10.1007/S12188-012-0071-X
description: scientific article; zbMATH DE number 6134641