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Pregled bibliografske jedinice broj: 718501

Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$


Kožić, Slaven
Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$ // Journal of Pure and Applied Algebra, 218 (2014), 11; 2119-2148 doi:10.1016/j.jpaa.2014.03.008 (međunarodna recenzija, članak, znanstveni)


Naslov
Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$

Autori
Kožić, Slaven

Izvornik
Journal of Pure and Applied Algebra (0022-4049) 218 (2014), 11; 2119-2148

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Affine Lie algebra; quantum affine algebra; quantum vertex algebra; principal subspace; quasi-particle; combinatorial basis

Sažetak
We consider principal subspace $W(\Lambda)$ of integrable highest weight module $L(\Lambda)$ for quantum affine algebra $U_q(\widehat{; ; \mathfrak{; ; sl}; ; }; ; _{; ; n+1}; ; )$. We introduce quantum analogues of the quasi-particles associated with the principal subspaces for $\widehat{; ; \mathfrak{; ; sl}; ; }; ; _{; ; n+1}; ; $ and discover certain relations among them. By using these relations we find, for certain highest weight $\Lambda$, combinatorial bases of principal subspace $W(\Lambda)$ in terms of monomials of quantum quasi-particles.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Mirko Primc, )
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (Dražen Adamović, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Slaven Kožić, (314194)

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:


  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews
  • PASCAL/CNRS
  • Science Citation Index
  • Zentralblatt MATH
  • Scopus


Citati