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Pregled bibliografske jedinice broj: 454848

An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$

Šikić, Tomislav
An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$ // Journal of algebra and its applications, 9 (2010), 1; 123-133 doi:10.1142/S0219498810003793 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 454848 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$

Autori
Šikić, Tomislav

Izvornik
Journal of algebra and its applications (0219-4988) 9 (2010), 1; 123-133

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

Ključne riječi
Affine Lie algebras; characters of fundamental modules; bosonic and fermionic realization; series-product identities; classical Gauss identity

Sažetak
The main result of this paper are two infinite families of series-product identities which are based on a classical Gauss identity and two different interpretations of characters of fundamental modules for the affine Kac-Moody Lie algebra $\widehat{; ; ; \mathfrak{; ; ; sl}; ; ; }; ; ; _n$, one of them stemming from a boson-fermionic realization of the affine Lie algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
AMS subject classifications: 17B67.



POVEZANOST RADA

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

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Tomislav Šikić (autor)

Poveznice na cjeloviti tekst rada:

doi www.worldscientific.com dx.doi.org

Citiraj ovu publikaciju:

Šikić, Tomislav
An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$ // Journal of algebra and its applications, 9 (2010), 1; 123-133 doi:10.1142/S0219498810003793 (međunarodna recenzija, članak, znanstveni)
Šikić, T. (2010) An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; _n$. Journal of algebra and its applications, 9 (1), 123-133 doi:10.1142/S0219498810003793.
@article{article, author = {\v{S}iki\'{c}, Tomislav}, year = {2010}, pages = {123-133}, DOI = {10.1142/S0219498810003793}, keywords = {Affine Lie algebras, characters of fundamental modules, bosonic and fermionic realization, series-product identities, classical Gauss identity}, journal = {Journal of algebra and its applications}, doi = {10.1142/S0219498810003793}, volume = {9}, number = {1}, issn = {0219-4988}, title = {An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; \_n$}, keyword = {Affine Lie algebras, characters of fundamental modules, bosonic and fermionic realization, series-product identities, classical Gauss identity} }
@article{article, author = {\v{S}iki\'{c}, Tomislav}, year = {2010}, pages = {123-133}, DOI = {10.1142/S0219498810003793}, keywords = {Affine Lie algebras, characters of fundamental modules, bosonic and fermionic realization, series-product identities, classical Gauss identity}, journal = {Journal of algebra and its applications}, doi = {10.1142/S0219498810003793}, volume = {9}, number = {1}, issn = {0219-4988}, title = {An Extension of the Classical Gauss Series-product Identity by Boson-fermionic Realization of the Affine Algebra $\widehat{; ; ; \mathfrak{; ; ; gl}; ; ; }; ; ; \_n$}, keyword = {Affine Lie algebras, characters of fundamental modules, bosonic and fermionic realization, series-product identities, classical Gauss identity} }

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::


  • INSPEC
  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews
  • Journal Citation Reports/Science Edition

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