Structure of intermediate Wakimoto modules

Ben L. Cox; Vyacheslav Futorny

doi:10.1016/j.jalgebra.2006.08.019

Structure of intermediate Wakimoto modules

Ben L. Cox, Vyacheslav Futorny

Research output: Contribution to journal › Article › peer-review

Abstract

We show that our construction of boson type realizations of affine sl (n + 1) in terms of intermediate Wakimoto modules gives representations that are generically isomorphic to certain Verma type modules. We then use this identification to obtain information about the submodule structure of intermediate Wakimoto modules. © 2006 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	682-702
Number of pages	20
Journal	Journal of Algebra
Volume	306
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2006.08.019
Publication status	Published - 15 Dec 2006

Keywords

Affine Kac-Mody algebras
Verma modules
Wakimoto modules

Access to Document

10.1016/j.jalgebra.2006.08.019

Cite this

@article{729de3d8e0994f25812235435c1c60a3,

title = "Structure of intermediate Wakimoto modules",

abstract = "We show that our construction of boson type realizations of affine sl (n + 1) in terms of intermediate Wakimoto modules gives representations that are generically isomorphic to certain Verma type modules. We then use this identification to obtain information about the submodule structure of intermediate Wakimoto modules. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

keywords = "Affine Kac-Mody algebras, Verma modules, Wakimoto modules",

author = "Cox, {Ben L.} and Vyacheslav Futorny",

year = "2006",

month = dec,

day = "15",

doi = "10.1016/j.jalgebra.2006.08.019",

language = "English",

volume = "306",

pages = "682--702",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - Structure of intermediate Wakimoto modules

AU - Cox, Ben L.

AU - Futorny, Vyacheslav

PY - 2006/12/15

Y1 - 2006/12/15

N2 - We show that our construction of boson type realizations of affine sl (n + 1) in terms of intermediate Wakimoto modules gives representations that are generically isomorphic to certain Verma type modules. We then use this identification to obtain information about the submodule structure of intermediate Wakimoto modules. © 2006 Elsevier Inc. All rights reserved.

AB - We show that our construction of boson type realizations of affine sl (n + 1) in terms of intermediate Wakimoto modules gives representations that are generically isomorphic to certain Verma type modules. We then use this identification to obtain information about the submodule structure of intermediate Wakimoto modules. © 2006 Elsevier Inc. All rights reserved.

KW - Affine Kac-Mody algebras

KW - Verma modules

KW - Wakimoto modules

U2 - 10.1016/j.jalgebra.2006.08.019

DO - 10.1016/j.jalgebra.2006.08.019

M3 - Article

SN - 0021-8693

VL - 306

SP - 682

EP - 702

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Structure of intermediate Wakimoto modules

Abstract

Keywords

Access to Document

Fingerprint

Cite this