Weyl groups of some hyperbolic Kac–Moody algebras

Alex J. Feingold; Daniel Vallières

doi:10.1016/j.jalgebra.2017.05.003

Weyl groups of some hyperbolic Kac–Moody algebras

Alex J. Feingold
, Daniel Vallières

Mathematics and Statistics

Binghamton University

California State University Chico

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

Abstract

We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac–Moody algebras T_n ⁺⁺, obtained by a process of double extension from a Cartan matrix of finite type T_n, whose corresponding generalized Cartan matrices are symmetric.

Original language	English
Pages (from-to)	457-497
Number of pages	41
Journal	Journal of Algebra
Volume	500
DOIs	https://doi.org/10.1016/j.jalgebra.2017.05.003
State	Published - Apr 15 2018

Keywords

Clifford algebra
Hyperbolic Kac–Moody algebra
Vahlen group
Weyl group

Access to Document

10.1016/j.jalgebra.2017.05.003

Cite this

@article{5198df47465b4ba1a8f3eb5560c18dc9,

title = "Weyl groups of some hyperbolic Kac–Moody algebras",

abstract = "We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac–Moody algebras Tn ++, obtained by a process of double extension from a Cartan matrix of finite type Tn, whose corresponding generalized Cartan matrices are symmetric.",

keywords = "Clifford algebra, Hyperbolic Kac–Moody algebra, Vahlen group, Weyl group",

author = "Feingold, \{Alex J.\} and Daniel Valli{\`e}res",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

month = apr,

day = "15",

doi = "10.1016/j.jalgebra.2017.05.003",

language = "English",

volume = "500",

pages = "457--497",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Weyl groups of some hyperbolic Kac–Moody algebras

AU - Feingold, Alex J.

AU - Vallières, Daniel

PY - 2018/4/15

Y1 - 2018/4/15

N2 - We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac–Moody algebras Tn ++, obtained by a process of double extension from a Cartan matrix of finite type Tn, whose corresponding generalized Cartan matrices are symmetric.

AB - We use the theory of Clifford algebras and Vahlen groups to study Weyl groups of hyperbolic Kac–Moody algebras Tn ++, obtained by a process of double extension from a Cartan matrix of finite type Tn, whose corresponding generalized Cartan matrices are symmetric.

KW - Clifford algebra

KW - Hyperbolic Kac–Moody algebra

KW - Vahlen group

KW - Weyl group

UR - https://www.scopus.com/pages/publications/85019844746

U2 - 10.1016/j.jalgebra.2017.05.003

DO - 10.1016/j.jalgebra.2017.05.003

M3 - Article

SN - 0021-8693

VL - 500

SP - 457

EP - 497

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Weyl groups of some hyperbolic Kac–Moody algebras

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this