2025-02-23T14:31:09-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146992%22&qt=morelikethis&rows=5
2025-02-23T14:31:09-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-146992%22&qt=morelikethis&rows=5
2025-02-23T14:31:09-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T14:31:09-05:00 DEBUG: Deserialized SOLR response
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities
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)Am) and A(W(p)Dm), where Am and Dm are cyclic and dihedral groups, respectively. A combinatorial algorithm for clas...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2015
|
| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146992 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
irk-123456789-146992 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1469922019-02-13T01:24:05Z Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities Adamović, D. Lin, X. Milas, A. 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)Am) and A(W(p)Dm), where Am and Dm 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; Internat. J. Math. 25 (2014), 1450001, 34 pages] provide a complete list of irreducible W(p)Am and W(p)Dm-modules. This paper is a continuation of our previous work on the ADE subalgebras of the triplet vertex algebra W(p). 2015 Article Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities / D. Adamović, X. Lin, A. Milas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B69 DOI:10.3842/SIGMA.2015.019 http://dspace.nbuv.gov.ua/handle/123456789/146992 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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)Am) and A(W(p)Dm), where Am and Dm 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; Internat. J. Math. 25 (2014), 1450001, 34 pages] provide a complete list of irreducible W(p)Am and W(p)Dm-modules. This paper is a continuation of our previous work on the ADE subalgebras of the triplet vertex algebra W(p). |
| format |
Article |
| author |
Adamović, D. Lin, X. Milas, A. |
| spellingShingle |
Adamović, D. Lin, X. Milas, A. Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Adamović, D. Lin, X. Milas, A. |
| author_sort |
Adamović, D. |
| title |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities |
| title_short |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities |
| title_full |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities |
| title_fullStr |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities |
| title_full_unstemmed |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities |
| title_sort |
vertex algebras w(p)am and w(p)dm and constant term identities |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146992 |
| citation_txt |
Vertex Algebras W(p)Am and W(p)Dm and Constant Term Identities / D. Adamović, X. Lin, A. Milas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 15 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT adamovicd vertexalgebraswpamandwpdmandconstanttermidentities AT linx vertexalgebraswpamandwpdmandconstanttermidentities AT milasa vertexalgebraswpamandwpdmandconstanttermidentities |
| first_indexed |
2023-05-20T17:26:16Z |
| last_indexed |
2023-05-20T17:26:16Z |
| _version_ |
1796153292110168064 |