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Quasi Modules for the Quantum Affine Vertex Algebra in Type A


Kožić, Slaven
Quasi Modules for the Quantum Affine Vertex Algebra in Type A // Communications in mathematical physics, 365 (2019), 3; 1049-1078 doi:10.1007/s00220-019-03291-0 (međunarodna recenzija, članak, znanstveni)


Naslov
Quasi Modules for the Quantum Affine Vertex Algebra in Type A

Autori
Kožić, Slaven

Izvornik
Communications in mathematical physics (0010-3616) 365 (2019), 3; 1049-1078

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

Ključne riječi
Quantum vertex algebra ; quasi module ; reflection algebra

Sažetak
We consider the quantum affine vertex algebra Vc(glN) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras Ac(glN) of the completed double Yangian DY˜c(glN) at the level c∈C, associated with the reflection equation, and we employ their structure to construct examples of quasi Vc(glN)-modules. Finally, we use the quasi module map, together with the explicit description of the center of Vc(glN), to obtain formulae for families of central elements in the completed algebra A˜c(glN).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
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


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