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Pregled bibliografske jedinice broj: 1159113

Principal subspaces for the quantum affine vertex algebra in type A1(1)


Butorac, Marijana; Kožić, Slaven
Principal subspaces for the quantum affine vertex algebra in type A1(1) // Journal of pure and applied algebra, 226 (2022), 6; 106973, 14 doi:10.1016/j.jpaa.2021.106973 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 1159113 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Principal subspaces for the quantum affine vertex algebra in type A1(1)

Autori
Butorac, Marijana ; Kožić, Slaven

Izvornik
Journal of pure and applied algebra (0022-4049) 226 (2022), 6; 106973, 14

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

Ključne riječi
Quantum vertex algebra ; Principal subspace ; Combinatorial bases

Sažetak
By using the ideas of Feigin and Stoyanovsky and Calinescu, Lepowsky and Milas we introduce and study the principal subspaces associated with the Etingof–Kazhdan quantum affine vertex algebra of integer level k>=1 and type A1(1). We show that the principal subspaces possess the quantum vertex algebra structure, which turns to the usual vertex algebra structure of the principal subspaces of generalized Verma and standard modules at the classical limit. Moreover, we find their topological quasi-particle bases which correspond to the sum sides of certain Rogers–Ramanujan-type identities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-UIP-2019-04-8488 - Algebre kvantnih struja i njihova teorija reprezentacija (QuantumCART) (Kožić, Slaven, HRZZ - 2019-04) ( POIROT)
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)

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)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com doi.org

Citiraj ovu publikaciju:

Butorac, Marijana; Kožić, Slaven
Principal subspaces for the quantum affine vertex algebra in type A1(1) // Journal of pure and applied algebra, 226 (2022), 6; 106973, 14 doi:10.1016/j.jpaa.2021.106973 (međunarodna recenzija, članak, znanstveni)
Butorac, M. & Kožić, S. (2022) Principal subspaces for the quantum affine vertex algebra in type A1(1). Journal of pure and applied algebra, 226 (6), 106973, 14 doi:10.1016/j.jpaa.2021.106973.
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven}, year = {2022}, pages = {14}, DOI = {10.1016/j.jpaa.2021.106973}, chapter = {106973}, keywords = {Quantum vertex algebra, Principal subspace, Combinatorial bases}, journal = {Journal of pure and applied algebra}, doi = {10.1016/j.jpaa.2021.106973}, volume = {226}, number = {6}, issn = {0022-4049}, title = {Principal subspaces for the quantum affine vertex algebra in type A1(1)}, keyword = {Quantum vertex algebra, Principal subspace, Combinatorial bases}, chapternumber = {106973} }
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven}, year = {2022}, pages = {14}, DOI = {10.1016/j.jpaa.2021.106973}, chapter = {106973}, keywords = {Quantum vertex algebra, Principal subspace, Combinatorial bases}, journal = {Journal of pure and applied algebra}, doi = {10.1016/j.jpaa.2021.106973}, volume = {226}, number = {6}, issn = {0022-4049}, title = {Principal subspaces for the quantum affine vertex algebra in type A1(1)}, keyword = {Quantum vertex algebra, Principal subspace, Combinatorial bases}, chapternumber = {106973} }

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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