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Pregled bibliografske jedinice broj: 1223378

Principal subspaces for the affine Lie algebras in types D, E and F

Butorac, Marijana; Kožić, Slaven
Principal subspaces for the affine Lie algebras in types D, E and F // Journal of algebraic combinatorics, 56 (2022), 4; 1063-1096 doi:10.1007/s10801-022-01146-x (međunarodna recenzija, članak, znanstveni)

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Naslov
Principal subspaces for the affine Lie algebras in types D, E and F

Autori
Butorac, Marijana ; Kožić, Slaven

Izvornik
Journal of algebraic combinatorics (0925-9899) 56 (2022), 4; 1063-1096

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

Ključne riječi
Principal subspaces ; Combinatorial bases ; Combinatorial identities ; Quasi-particles ; Vertex operator algebras ; Affine Lie algebras

Sažetak
We consider the principal subspaces of certain level k>=1 integrable highest weight modules and generalized Verma modules for the untwisted affine Lie algebras in types D, E and F. Generalizing the approach of G. Georgiev we construct their quasi-particle bases. We use the bases to derive presentations of the principal subspaces, calculate their character formulae and find some new combinatorial identities.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-UIP-2019-04-8488 - Algebre kvantnih struja i njihova teorija reprezentacija (QuantumCART) (Kožić, Slaven, HRZZ - 2019-04) ( CroRIS)
--KK.01.1.1.01.0004 - Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri (QuantiXLie) (Buljan, Hrvoje; Pandžić, Pavle) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Sveučilište u Rijeci, Fakultet za matematiku

Profili:

Avatar Url Marijana Butorac (autor)

Avatar Url Slaven Kožić (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com

Citiraj ovu publikaciju:

Butorac, Marijana; Kožić, Slaven
Principal subspaces for the affine Lie algebras in types D, E and F // Journal of algebraic combinatorics, 56 (2022), 4; 1063-1096 doi:10.1007/s10801-022-01146-x (međunarodna recenzija, članak, znanstveni)
Butorac, M. & Kožić, S. (2022) Principal subspaces for the affine Lie algebras in types D, E and F. Journal of algebraic combinatorics, 56 (4), 1063-1096 doi:10.1007/s10801-022-01146-x.
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven}, year = {2022}, pages = {1063-1096}, DOI = {10.1007/s10801-022-01146-x}, keywords = {Principal subspaces, Combinatorial bases, Combinatorial identities, Quasi-particles, Vertex operator algebras, Affine Lie algebras}, journal = {Journal of algebraic combinatorics}, doi = {10.1007/s10801-022-01146-x}, volume = {56}, number = {4}, issn = {0925-9899}, title = {Principal subspaces for the affine Lie algebras in types D, E and F}, keyword = {Principal subspaces, Combinatorial bases, Combinatorial identities, Quasi-particles, Vertex operator algebras, Affine Lie algebras} }
@article{article, author = {Butorac, Marijana and Ko\v{z}i\'{c}, Slaven}, year = {2022}, pages = {1063-1096}, DOI = {10.1007/s10801-022-01146-x}, keywords = {Principal subspaces, Combinatorial bases, Combinatorial identities, Quasi-particles, Vertex operator algebras, Affine Lie algebras}, journal = {Journal of algebraic combinatorics}, doi = {10.1007/s10801-022-01146-x}, volume = {56}, number = {4}, issn = {0925-9899}, title = {Principal subspaces for the affine Lie algebras in types D, E and F}, keyword = {Principal subspaces, Combinatorial bases, Combinatorial identities, Quasi-particles, Vertex operator algebras, Affine Lie algebras} }

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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