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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, 16 doi:10.3842/SIGMA.2015.019 (međunarodna recenzija, članak, znanstveni)

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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, 16

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

Projekti:
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (ACMVAT) (Adamović, Dražen, HRZZ - 2013-11) ( CroRIS)

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

Profili:

Avatar Url Antun Milas (autor)

Avatar Url Dražen Adamović (autor)

Poveznice na cjeloviti tekst rada:

doi www.emis.de www.emis.de

Citiraj ovu publikaciju:

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, 16 doi:10.3842/SIGMA.2015.019 (međunarodna recenzija, članak, znanstveni)
Adamović, D., Lin, X. & Milas, A. (2015) Vertex Algebras W(p) ^{;; ; A_m};; ; and W(p) {;; ; D_m};; ; and Constant Term Identities. Symmetry Integrability and Geometry-Methods and Applications, 11, 019, 16 doi:10.3842/SIGMA.2015.019.
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Lin, Xianzu and Milas, Antun}, year = {2015}, pages = {16}, DOI = {10.3842/SIGMA.2015.019}, chapter = {019}, keywords = {C2-cofiniteness, triplet vertex algebra, orbifold subalgebra, constant term identities.}, journal = {Symmetry Integrability and Geometry-Methods and Applications}, doi = {10.3842/SIGMA.2015.019}, volume = {11}, issn = {1815-0659}, title = {Vertex Algebras W(p) \^{}{;; ; A\_m};; ; and W(p) {;; ; D\_m};; ; and Constant Term Identities}, keyword = {C2-cofiniteness, triplet vertex algebra, orbifold subalgebra, constant term identities.}, chapternumber = {019} }
@article{article, author = {Adamovi\'{c}, Dra\v{z}en and Lin, Xianzu and Milas, Antun}, year = {2015}, pages = {16}, DOI = {10.3842/SIGMA.2015.019}, chapter = {019}, keywords = {triplet vertex algebra, orbifold subalgebra, constant term identities.}, journal = {Symmetry Integrability and Geometry-Methods and Applications}, doi = {10.3842/SIGMA.2015.019}, volume = {11}, issn = {1815-0659}, title = {Vertex Algebras W(p) \^{}{;; ; A\_m};; ; and W(p) {;; ; D\_m};; ; and Constant Term Identities}, keyword = {triplet vertex algebra, orbifold subalgebra, constant term identities.}, chapternumber = {019} }

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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