Catalogo Articoli (Spogli Riviste)

OPAC HELP

Titolo:
A presentation for reduced extended affine Weyl groups
Autore:
Azam, S;
Indirizzi:
Univ Isfahan, Dept Math, Isfahan, Iran Univ Isfahan Isfahan IranUniv Isfahan, Dept Math, Isfahan, Iran Inst Studies Theoret Phys & Math, Tehran, Iran Inst Studies Theoret Phys &Math Tehran Iran Phys & Math, Tehran, Iran
Titolo Testata:
COMMUNICATIONS IN ALGEBRA
fascicolo: 1, volume: 28, anno: 2000,
pagine: 465 - 488
SICI:
0092-7872(2000)28:1<465:APFREA>2.0.ZU;2-P
Fonte:
ISI
Lingua:
ENG
Soggetto:
SIMPLE LIE-ALGEBRAS; ROOT SYSTEMS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
14
Recensione:
Indirizzi per estratti:
Indirizzo: Azam, S Univ Isfahan, Dept Math, POB 81745, Isfahan, Iran Univ Isfahan POB81745 Isfahan Iran th, POB 81745, Isfahan, Iran
Citazione:
S. Azam, "A presentation for reduced extended affine Weyl groups", COMM ALGEB, 28(1), 2000, pp. 465-488

Abstract

In 1985 K. Saito [Sa1] introduced the concept of an extended affine Weyl group (EAWG), the Weyl group of an extended affine root system (EARS). In [A2, Section 5], we gave a presentation called "a presentation by conjugation" for the class of EAWGs of index zero, a subclass of EAWGs. In this paper we will give a presentation which we call a "generalized presentation by conjugation" for the class of reduced EAWGs. If the extended affine Weyl group is of index zero this presentation reduces to "a presentation by conjugation". Our main result states that when the nullity of the EARS is 2, these two presentations coincide that is, EAWGs of nullity 2 have "presentation by conjugation". In [ST] another presentation for EAWGs of nullity 2 is given.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/07/20 alle ore 14:16:55