Classification of finite-growth general Kac-Moody superalgebras

Crystal Hoyt; Vera Serganova

doi:10.1080/00927870601115781

Classification of finite-growth general Kac-Moody superalgebras

Crystal Hoyt
, Vera Serganova

University of California at Berkeley

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

23 Scopus citations

Abstract

A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.

Original language	English
Pages (from-to)	851-874
Number of pages	24
Journal	Communications in Algebra
Volume	35
Issue number	3
DOIs	https://doi.org/10.1080/00927870601115781
State	Published - Mar 2007
Externally published	Yes

Keywords

Finite growth
Kac-Moody superalgebra
Odd reflections
Roots

Access to Document

10.1080/00927870601115781

Cite this

@article{87364361913149cbbf24c04cdb720323,

title = "Classification of finite-growth general Kac-Moody superalgebras",

abstract = "A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.",

keywords = "Finite growth, Kac-Moody superalgebra, Odd reflections, Roots",

author = "Crystal Hoyt and Vera Serganova",

year = "2007",

month = mar,

doi = "10.1080/00927870601115781",

language = "אנגלית",

volume = "35",

pages = "851--874",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - Classification of finite-growth general Kac-Moody superalgebras

AU - Hoyt, Crystal

AU - Serganova, Vera

PY - 2007/3

Y1 - 2007/3

N2 - A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.

AB - A contragredient Lie superalgebra is a superalgebra defined by a Cartan matrix. A contragredient Lie superalgebra has finite-growth if the dimensions of the graded components (in the natural grading) depend polynomially on the degree. In this article we classify finite-growth contragredient Lie superalgebras. Previously, such a classification was known only for the symmetrizable case.

KW - Finite growth

KW - Kac-Moody superalgebra

KW - Odd reflections

KW - Roots

UR - https://www.scopus.com/pages/publications/34047149427

U2 - 10.1080/00927870601115781

DO - 10.1080/00927870601115781

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

AN - SCOPUS:34047149427

SN - 0092-7872

VL - 35

SP - 851

EP - 874

JO - Communications in Algebra

JF - Communications in Algebra

IS - 3

ER -

Classification of finite-growth general Kac-Moody superalgebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this