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Pregled bibliografske jedinice broj: 645788

Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra


Radobolja, Gordan
Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra // Journal of mathematical physics, 54 (2013), 7; 071701-071725 doi:10.1063/1.4813439 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 645788 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra

Autori
Radobolja, Gordan

Izvornik
Journal of mathematical physics (0022-2488) 54 (2013), 7; 071701-071725

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

Ključne riječi
Lie algebras; mathematical operators; tensors; vectors

Sažetak
We show that subsingular vectors may exist in Verma modules over W(2, 2), and present the subquotient structure of these modules. We prove conditions for irreducibility of the tensor product of intermediate series module with a highest weight module. Relation to intertwining operators over vertex operator algebra associated with W(2, 2) is discussed. Also, we study the tensor product of intermediate series and a highest weight module over the twisted Heisenberg-Virasoro algebra, and present series of irreducible modules with infinite-dimensional weight spaces.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
037-0372794-2806 - Algebre verteks-operatora i beskonačno dimenzionalne Liejeve algebre (Primc, Mirko, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Split

Profili:

Avatar Url Gordan Radobolja (autor)

Poveznice na cjeloviti tekst rada:

doi scitation.aip.org jmp.aip.org

Citiraj ovu publikaciju:

Radobolja, Gordan
Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra // Journal of mathematical physics, 54 (2013), 7; 071701-071725 doi:10.1063/1.4813439 (međunarodna recenzija, članak, znanstveni)
Radobolja, G. (2013) Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra. Journal of mathematical physics, 54 (7), 071701-071725 doi:10.1063/1.4813439.
@article{article, author = {Radobolja, Gordan}, year = {2013}, pages = {071701-071725}, DOI = {10.1063/1.4813439}, keywords = {Lie algebras, mathematical operators, tensors, vectors}, journal = {Journal of mathematical physics}, doi = {10.1063/1.4813439}, volume = {54}, number = {7}, issn = {0022-2488}, title = {Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra}, keyword = {Lie algebras, mathematical operators, tensors, vectors} }
@article{article, author = {Radobolja, Gordan}, year = {2013}, pages = {071701-071725}, DOI = {10.1063/1.4813439}, keywords = {Lie algebras, mathematical operators, tensors, vectors}, journal = {Journal of mathematical physics}, doi = {10.1063/1.4813439}, volume = {54}, number = {7}, issn = {0022-2488}, title = {Subsingular vectors in Verma modules, and tensor product modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra}, keyword = {Lie algebras, mathematical operators, tensors, vectors} }

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


Citati:





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