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Pregled bibliografske jedinice broj: 1132156

On the quantum affine vertex algebra associated with trigonometric R-matrix


Kožić, Slaven
On the quantum affine vertex algebra associated with trigonometric R-matrix // Selecta mathematica, New series, 27 (2021), 3; 45, 49 doi:10.1007/s00029-021-00666-x (međunarodna recenzija, članak, znanstveni)


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Naslov
On the quantum affine vertex algebra associated with trigonometric R-matrix

Autori
Kožić, Slaven

Izvornik
Selecta mathematica, New series (1022-1824) 27 (2021), 3; 45, 49

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

Ključne riječi
Quantum affine algebra ; Quantum vertex algebra ; ϕ-Coordinated module ; Quantum current

Sažetak
We apply the theory of ϕ-coordinated modules, developed by H.-S. Li, to the Etingof–Kazhdan quantum affine vertex algebra associated with the trigonometric R-matrix of type A. We prove, for a certain associate ϕ of the one-dimensional additive formal group, that any (irreducible) ϕ-coordinated module for the level c∈C quantum affine vertex algebra is naturally equipped with a structure of (irreducible) restricted level c module for the quantum affine algebra in type A and vice versa. In the end, we discuss relation between the centers of the quantum affine algebra and the quantum affine vertex algebra.

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)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Slaven Kožić (autor)

Poveznice na cjeloviti tekst rada:

doi rd.springer.com doi.org

Citiraj ovu publikaciju:

Kožić, Slaven
On the quantum affine vertex algebra associated with trigonometric R-matrix // Selecta mathematica, New series, 27 (2021), 3; 45, 49 doi:10.1007/s00029-021-00666-x (međunarodna recenzija, članak, znanstveni)
Kožić, S. (2021) On the quantum affine vertex algebra associated with trigonometric R-matrix. Selecta mathematica, New series, 27 (3), 45, 49 doi:10.1007/s00029-021-00666-x.
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2021}, pages = {49}, DOI = {10.1007/s00029-021-00666-x}, chapter = {45}, keywords = {Quantum affine algebra, Quantum vertex algebra, ϕ-Coordinated module, Quantum current}, journal = {Selecta mathematica, New series}, doi = {10.1007/s00029-021-00666-x}, volume = {27}, number = {3}, issn = {1022-1824}, title = {On the quantum affine vertex algebra associated with trigonometric R-matrix}, keyword = {Quantum affine algebra, Quantum vertex algebra, ϕ-Coordinated module, Quantum current}, chapternumber = {45} }
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2021}, pages = {49}, DOI = {10.1007/s00029-021-00666-x}, chapter = {45}, keywords = {Quantum affine algebra, Quantum vertex algebra, ϕ-Coordinated module, Quantum current}, journal = {Selecta mathematica, New series}, doi = {10.1007/s00029-021-00666-x}, volume = {27}, number = {3}, issn = {1022-1824}, title = {On the quantum affine vertex algebra associated with trigonometric R-matrix}, keyword = {Quantum affine algebra, Quantum vertex algebra, ϕ-Coordinated module, Quantum current}, chapternumber = {45} }

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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