Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

doi:10.1016/j.jalgebra.2010.09.007

Regular Kac-Moody superalgebras and integrable highest weight modules

Crystal Hoyt

Weizmann Institute of Science

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

9 Scopus citations

Abstract

We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras.

Original language	English
Pages (from-to)	3308-3354
Number of pages	47
Journal	Journal of Algebra
Volume	324
Issue number	12
DOIs	https://doi.org/10.1016/j.jalgebra.2010.09.007
State	Published - 15 Dec 2010
Externally published	Yes

Bibliographical note

Funding Information:
E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.

Funding

E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.

Funders	Funder number
National Science Foundation	DMS-0354321
Directorate for Mathematical and Physical Sciences	0354321
University of California Berkeley
Israel Science Foundation

Keywords

Integrable modules
Lie superalgebra
Odd reflections

Access to Document

10.1016/j.jalgebra.2010.09.007

Cite this

@article{166b66546ca441e38a4859049cd07068,

title = "Regular Kac-Moody superalgebras and integrable highest weight modules",

abstract = "We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras.",

keywords = "Integrable modules, Lie superalgebra, Odd reflections",

author = "Crystal Hoyt",

note = "Funding Information: E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.",

year = "2010",

month = dec,

day = "15",

doi = "10.1016/j.jalgebra.2010.09.007",

language = "אנגלית",

volume = "324",

pages = "3308--3354",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "12",

}

TY - JOUR

T1 - Regular Kac-Moody superalgebras and integrable highest weight modules

AU - Hoyt, Crystal

N1 - Funding Information: E-mail address: [email protected]. 1 Supported in part by NSF grant DMS-0354321 at the University of California, Berkeley. Supported in part by ISF grant, no.

PY - 2010/12/15

Y1 - 2010/12/15

N2 - We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras.

AB - We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras.

KW - Integrable modules

KW - Lie superalgebra

KW - Odd reflections

UR - https://www.scopus.com/pages/publications/78149357475

U2 - 10.1016/j.jalgebra.2010.09.007

DO - 10.1016/j.jalgebra.2010.09.007

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:78149357475

SN - 0021-8693

VL - 324

SP - 3308

EP - 3354

JO - Journal of Algebra

JF - Journal of Algebra

IS - 12

ER -

Regular Kac-Moody superalgebras and integrable highest weight modules

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this