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Pregled bibliografske jedinice broj: 755061

Vertex Algebras W(p) ^{; ; A_m}; ; and W(p) {; ; D_m}; ; and Constant Term Identities


Adamović, Dražen; Lin, Xianzu; Milas, Antun
Vertex Algebras W(p) ^{; ; A_m}; ; and W(p) {; ; D_m}; ; and Constant Term Identities // Symmetry Integrability and Geometry-Methods and Applications, 11 (2015), 019-1 doi:10.3842/SIGMA.2015.019 (međunarodna recenzija, članak, znanstveni)


Naslov
Vertex Algebras W(p) ^{; ; A_m}; ; and W(p) {; ; D_m}; ; and Constant Term Identities

Autori
Adamović, Dražen ; Lin, Xianzu ; Milas, Antun

Izvornik
Symmetry Integrability and Geometry-Methods and Applications (1815-0659) 11 (2015); 019-1

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

Ključne riječi
C2-cofiniteness; triplet vertex algebra; orbifold subalgebra; constant term identities.
(Triplet vertex algebra; orbifold subalgebra; constant term identities.)

Sažetak
We consider AD-type orbifolds of the triplet vertex algebras W(p) extending the well-known c=1 orbifolds of lattice vertex algebras. We study the structure of Zhu's algebras A(W(p)^{; ; A_m}; ; ) and A(W(p)^{; ; D_m}; ; ), where A_m and D_m are cyclic and dihedral groups, respectively. A combinatorial algorithm for classification of irreducible W(p)^Γ-modules is developed, which relies on a family of constant term identities and properties of certain polynomials based on constant terms. All these properties can be checked for small values of m and p with a computer software. As a result, we argue that if certain constant term properties hold, the irreducible modules constructed in [Commun. Contemp. Math. 15 (2013), 1350028, 30 pages, arXiv:1212.5453 ; Internat. J. Math. 25 (2014), 1450001, 34 pages, arXiv:1304.5711] provide a complete list of irreducible W(p)^{; ; A_m}; ; and W(p)^{; ; D_m}; ; -modules. This paper is a continuation of our previous work on the ADE subalgebras of the triplet vertex algebra W(p).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika



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

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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