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Pregled bibliografske jedinice broj: 1116726

A realisation of the Bershadsky–Polyakov algebras and their relaxed modules

Adamović, Dražen; Kawasetsu, Kazuya; Ridout, David
A realisation of the Bershadsky–Polyakov algebras and their relaxed modules // Letters in mathematical physics, 111 (2021), 2; 38, 30 doi:10.1007/s11005-021-01378-1 (međunarodna recenzija, članak, znanstveni)

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Naslov
A realisation of the Bershadsky–Polyakov algebras and their relaxed modules

Autori
Adamović, Dražen ; Kawasetsu, Kazuya ; Ridout, David

Izvornik
Letters in mathematical physics (0377-9017) 111 (2021), 2; 38, 30

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

Ključne riječi
Vertex operator algebras ; W-algebras ; Lattice vertex algebras ; Relaxed highest-weight modules

Sažetak
We present a realisation of the universal/simple Bershadsky-Polyakov vertex algebras as subalgebras of the tensor product of the universal/simple Zamolodchikov vertex algebras and an isotropic lattice vertex algebra. This generalises the realisation of the universal/simple affine vertex algebras associated to sl(2) and osp(1|2) given in Adamović (Commun Math Phys 366:1025-1067, 2019). Relaxed highest-weight modules are likewise constructed, conditions for their irreducibility are established, and their characters are explicitly computed, generalising the character formulae of Kawasetsu and Ridout (Commun Math Phys 368:627-663, 2019).

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
--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) ( CroRIS)

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

Profili:

Avatar Url Dražen Adamović (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Adamović, Dražen; Kawasetsu, Kazuya; Ridout, David
A realisation of the Bershadsky–Polyakov algebras and their relaxed modules // Letters in mathematical physics, 111 (2021), 2; 38, 30 doi:10.1007/s11005-021-01378-1 (međunarodna recenzija, članak, znanstveni)
Adamović, D., Kawasetsu, K. & Ridout, D. (2021) A realisation of the Bershadsky–Polyakov algebras and their relaxed modules. Letters in mathematical physics, 111 (2), 38, 30 doi:10.1007/s11005-021-01378-1.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Kawasetsu, Kazuya and Ridout, David}, year = {2021}, pages = {30}, DOI = {10.1007/s11005-021-01378-1}, chapter = {38}, keywords = {Vertex operator algebras, W-algebras, Lattice vertex algebras, Relaxed highest-weight modules}, journal = {Letters in mathematical physics}, doi = {10.1007/s11005-021-01378-1}, volume = {111}, number = {2}, issn = {0377-9017}, title = {A realisation of the Bershadsky–Polyakov algebras and their relaxed modules}, keyword = {Vertex operator algebras, W-algebras, Lattice vertex algebras, Relaxed highest-weight modules}, chapternumber = {38} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Kawasetsu, Kazuya and Ridout, David}, year = {2021}, pages = {30}, DOI = {10.1007/s11005-021-01378-1}, chapter = {38}, keywords = {Vertex operator algebras, W-algebras, Lattice vertex algebras, Relaxed highest-weight modules}, journal = {Letters in mathematical physics}, doi = {10.1007/s11005-021-01378-1}, volume = {111}, number = {2}, issn = {0377-9017}, title = {A realisation of the Bershadsky–Polyakov algebras and their relaxed modules}, keyword = {Vertex operator algebras, W-algebras, Lattice vertex algebras, Relaxed highest-weight modules}, chapternumber = {38} }

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

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