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Pregled bibliografske jedinice broj: 1099082

Parafermionic bases of standard modules for affine Lie algebras


Butorac, Marijana; Kožić, Slaven; Primc, Mirko
Parafermionic bases of standard modules for affine Lie algebras // Mathematische Zeitschrift, 298 (2021), 1003-1032 doi:10.1007/s00209-020-02639-w (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1099082 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Parafermionic bases of standard modules for affine Lie algebras

Autori
Butorac, Marijana ; Kožić, Slaven ; Primc, Mirko

Izvornik
Mathematische Zeitschrift (0025-5874) 298 (2021); 1003-1032

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

Ključne riječi
affine Lie algebras ; parafermionic space ; combinatorial bases

Sažetak
In this paper we construct combinatorial bases of parafermionic spaces associated with the standard modules of the rectangular highest weights for the untwisted affine Lie algebras. Our construction is a modification of G. Georgiev's construction for the affine Lie algebra $\widehat{; ; ; ; ; ; ; ; \mathfrak sl}; ; ; ; ; ; ; ; (n+1, \mathbb C)$---the constructed parafermionic bases are projections of the quasi-particle bases of the principal subspaces, obtained previously in a series of papers by the first two authors. As a consequence we prove the character formula of A. Kuniba, T. Nakanishi and J. Suzuki for all non-simply-laced untwisted affine Lie algebras.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
EK-EFRR-KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle; Tuček, Vit; Marketin, Tomislav, EK - KK.01.1.1.01) ( POIROT)
HRZZ-UIP-2019-04-8488 - Algebre kvantnih struja i njihova teorija reprezentacija (QuantumCART) (Kožić, Slaven, HRZZ - 2019-04) ( POIROT)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Marijana Butorac (autor)

Avatar Url Slaven Kožić (autor)

Avatar Url Mirko Primc (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Butorac, Marijana; Kožić, Slaven; Primc, Mirko
Parafermionic bases of standard modules for affine Lie algebras // Mathematische Zeitschrift, 298 (2021), 1003-1032 doi:10.1007/s00209-020-02639-w (međunarodna recenzija, članak, znanstveni)
Butorac, M., Kožić, S. & Primc, M. (2021) Parafermionic bases of standard modules for affine Lie algebras. Mathematische Zeitschrift, 298, 1003-1032 doi:10.1007/s00209-020-02639-w.
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven and Primc, Mirko}, year = {2021}, pages = {1003-1032}, DOI = {10.1007/s00209-020-02639-w}, keywords = {affine Lie algebras, parafermionic space, combinatorial bases}, journal = {Mathematische Zeitschrift}, doi = {10.1007/s00209-020-02639-w}, volume = {298}, issn = {0025-5874}, title = {Parafermionic bases of standard modules for affine Lie algebras}, keyword = {affine Lie algebras, parafermionic space, combinatorial bases} }
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven and Primc, Mirko}, year = {2021}, pages = {1003-1032}, DOI = {10.1007/s00209-020-02639-w}, keywords = {affine Lie algebras, parafermionic space, combinatorial bases}, journal = {Mathematische Zeitschrift}, doi = {10.1007/s00209-020-02639-w}, volume = {298}, issn = {0025-5874}, title = {Parafermionic bases of standard modules for affine Lie algebras}, keyword = {affine Lie algebras, parafermionic space, combinatorial bases} }

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


Citati:





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