Pretraga

Pretražite po imenu i prezimenu autora, mentora, urednika, prevoditelja

Napredna pretraga

Pregled bibliografske jedinice broj: 1254661

On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries

Kožić, Slaven
On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries // Communications in mathematical physics, 397 (2023), 2; 607-634 doi:10.1007/s00220-022-04498-4 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1254661 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries

Autori
Kožić, Slaven

Izvornik
Communications in mathematical physics (0010-3616) 397 (2023), 2; 607-634

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

Ključne riječi
Hecke symmetry ; Involutive symmetry ; Quantum determinant ; Quantum vertex algebra ; Yangian ; φ-Coordinated module

Sažetak
We study the quantum vertex algebraic framework for the Yangians of RTT-type and the braided Yangians associated with Hecke symmetries, introduced by Gurevich and Saponov. First, we construct several families of modules for the aforementioned Yangian-like algebras which, in the RTT-type case, lead to a certain h-adic quantum vertex algebra Vc(R) via the Etingof–Kazhdan construction, while, in the braided case, they produce (φ-coordinated) Vc(R)-modules. Next, we show that the coefficients of suitably defined quantum determinant can be used to obtain central elements of Vc(R), as well as the invariants of such (φ-coordinated) Vc(R)-modules. Finally, we investigate a certain algebra which is closely connected with the representation theory of Vc(R).

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) ( CroRIS)

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

Profili:

Avatar Url Slaven Kožić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Kožić, Slaven
On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries // Communications in mathematical physics, 397 (2023), 2; 607-634 doi:10.1007/s00220-022-04498-4 (međunarodna recenzija, članak, znanstveni)
Kožić, S. (2023) On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries. Communications in mathematical physics, 397 (2), 607-634 doi:10.1007/s00220-022-04498-4.
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2023}, pages = {607-634}, DOI = {10.1007/s00220-022-04498-4}, keywords = {Hecke symmetry, Involutive symmetry, Quantum determinant, Quantum vertex algebra, Yangian, φ-Coordinated module}, journal = {Communications in mathematical physics}, doi = {10.1007/s00220-022-04498-4}, volume = {397}, number = {2}, issn = {0010-3616}, title = {On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries}, keyword = {Hecke symmetry, Involutive symmetry, Quantum determinant, Quantum vertex algebra, Yangian, φ-Coordinated module} }
@article{article, author = {Ko\v{z}i\'{c}, Slaven}, year = {2023}, pages = {607-634}, DOI = {10.1007/s00220-022-04498-4}, keywords = {Hecke symmetry, Involutive symmetry, Quantum determinant, Quantum vertex algebra, Yangian, φ-Coordinated module}, journal = {Communications in mathematical physics}, doi = {10.1007/s00220-022-04498-4}, volume = {397}, number = {2}, issn = {0010-3616}, title = {On the h-adic Quantum Vertex Algebras Associated with Hecke Symmetries}, keyword = {Hecke symmetry, Involutive symmetry, Quantum determinant, Quantum vertex algebra, Yangian, φ-Coordinated module} }

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::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

Citati:

    Altmetrijski pokazatelji:


    Podijeli:





    Contrast
    Increase Font
    Decrease Font
    Dyslexic Font
    CROSBI koristi kolačiće (cookies) kako bi poboljšao funkcionalnost stranice.