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Pregled bibliografske jedinice broj: 807151

Vertex operators and principal subspaces of level one for Uq(sl^2)


Kožić, Slaven
Vertex operators and principal subspaces of level one for Uq(sl^2) // Journal of algebra, 455 (2016), 251-290 doi:10.1016/j.jalgebra.2016.01.041 (međunarodna recenzija, članak, znanstveni)


Naslov
Vertex operators and principal subspaces of level one for Uq(sl^2)

Autori
Kožić, Slaven

Izvornik
Journal of algebra (0021-8693) 455 (2016); 251-290

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

Ključne riječi
Affine lie algebra ; quantum affine algebra ; quantum vertex algebra ; principal subspace ; quasi-particle ; combinatorial basis

Sažetak
We consider two different methods of associating vertex algebraic structures with the level 1 principal subspaces for Uq(slˆ2). In the first approach, we introduce certain commutative operators and study the corresponding vertex algebra and its module. We find combinatorial bases for these objects and show that they coincide with the principal subspace bases found by B.L. Feigin and A.V. Stoyanovsky. In the second approach, we introduce the, so-called nonlocal q-vertex algebras, investigate their properties and construct the nonlocal q-vertex algebra and its module, generated by Frenkel–Jing operator and Koyama's operator respectively. By finding the combinatorial bases of their suitably defined subspaces, we establish a connection with the sum sides of the Rogers–Ramanujan identities. Finally, we discuss further applications to quantum quasi-particle relations.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Mirko Primc, )
HRZZ-IP-2013-11-2634 - Algebarske i kombinatorne metode u teoriji verteks algebri (Dražen Adamović, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Slaven Kožić, (314194)

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:


  • Compu-Math Citation Index
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Current Contents/Physics, Chemical, & Earth Sciences
  • Mathematical Reviews
  • Research Alert
  • Science Citation Index
  • Scopus.


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