Pregled bibliografske jedinice broj: 166613
Z-Gradations of Classical Affine Lie Algebras and Kac Parameters
Z-Gradations of Classical Affine Lie Algebras and Kac Parameters // Communications in algebra, 32 (2004), 8; 2987-3016 (međunarodna recenzija, članak, znanstveni)
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Naslov
Z-Gradations of Classical Affine Lie Algebras and Kac Parameters
Autori
Šikić, Tomislav
Izvornik
Communications in algebra (0092-7872) 32
(2004), 8;
2987-3016
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Z-Gradations of Kac-Moody algebras; Classical affine Lie algebras; Kac parameters of finite order automorphisms of simple Lie algebras
Sažetak
The main result of this paper is an algorithm which determines the Kac parameters for every Z-gradation of the type s~ of the classical affine Lie algebras i.e. Lie algebras with Dynkin diagrams of the type An, Bn, Cn, Dn. We would like to emphasize that the algorithm determines also the corresponding basis of the root system of the classical affine Lie algebra. Such a basis we name the Kac basis.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
AMS subject classifications: 17B67
POVEZANOST RADA
Projekti:
0037125
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Profili:
Tomislav Šikić
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- Mathematical Reviews
- Zentralblatt MATH
