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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)

CROSBI ID: 718501 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

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

Projekti:
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Slaven Kožić (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com

Citiraj ovu publikaciju:

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)
Kožić, S. (2014) Principal subspaces for quantum affine algebra $U_q(A_n^{; ; (1)}; ; )$. Journal of Pure and Applied Algebra, 218 (11), 2119-2148 doi:10.1016/j.jpaa.2014.03.008.
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2014}, pages = {2119-2148}, DOI = {10.1016/j.jpaa.2014.03.008}, keywords = {affine Lie algebra, quantum affine algebra, quantum vertex algebra, principal subspace, quasi-particle, combinatorial basis}, journal = {Journal of Pure and Applied Algebra}, doi = {10.1016/j.jpaa.2014.03.008}, volume = {218}, number = {11}, issn = {0022-4049}, title = {Principal subspaces for quantum affine algebra $U\_q(A\_n\^{}{; ; (1)}; ; )$}, keyword = {affine Lie algebra, quantum affine algebra, quantum vertex algebra, principal subspace, quasi-particle, combinatorial basis} }
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2014}, pages = {2119-2148}, DOI = {10.1016/j.jpaa.2014.03.008}, keywords = {affine Lie algebra, quantum affine algebra, quantum vertex algebra, principal subspace, quasi-particle, combinatorial basis}, journal = {Journal of Pure and Applied Algebra}, doi = {10.1016/j.jpaa.2014.03.008}, volume = {218}, number = {11}, issn = {0022-4049}, title = {Principal subspaces for quantum affine algebra $U\_q(A\_n\^{}{; ; (1)}; ; )$}, keyword = {affine Lie algebra, quantum affine algebra, quantum vertex algebra, principal subspace, quasi-particle, combinatorial basis} }

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

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