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Pregled bibliografske jedinice broj: 1177001

Sl2-Harish-Chandra modules for sl2⋉L(4)


Mazorchuk, Volodymyr; Mrđen, Rafael
sl2-Harish-Chandra modules for sl2⋉L(4) // Journal of mathematical physics, 63 (2022), 021701, 21 doi:10.1063/5.0064387 (međunarodna recenzija, članak, znanstveni)


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Naslov
Sl2-Harish-Chandra modules for sl2⋉L(4)

Autori
Mazorchuk, Volodymyr ; Mrđen, Rafael

Izvornik
Journal of mathematical physics (0022-2488) 63 (2022); 021701, 21

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

Ključne riječi
sl2-Harish-Chandra module ; Enright-Arkhipov localization / completion ; Conformal Galilei algebra

Sažetak
We use analogues of Enright's and Arkhipov's functors to determine the quiver and relations for a category of sl_2 ⋉ L(4)-modules which are locally finite (and with finite multiplicities) over sl_2. We also outline serious obstacles to extend our result to sl_2 ⋉ L(k), for k > 4.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
--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,
Građevinski fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Rafael Mrđen (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org aip.scitation.org

Citiraj ovu publikaciju:

Mazorchuk, Volodymyr; Mrđen, Rafael
sl2-Harish-Chandra modules for sl2⋉L(4) // Journal of mathematical physics, 63 (2022), 021701, 21 doi:10.1063/5.0064387 (međunarodna recenzija, članak, znanstveni)
Mazorchuk, V. & Mrđen, R. (2022) sl2-Harish-Chandra modules for sl2⋉L(4). Journal of mathematical physics, 63, 021701, 21 doi:10.1063/5.0064387.
@article{article, author = {Mazorchuk, Volodymyr and Mr\djen, Rafael}, year = {2022}, pages = {21}, DOI = {10.1063/5.0064387}, chapter = {021701}, keywords = {sl2-Harish-Chandra module, Enright-Arkhipov localization / completion, Conformal Galilei algebra}, journal = {Journal of mathematical physics}, doi = {10.1063/5.0064387}, volume = {63}, issn = {0022-2488}, title = {sl2-Harish-Chandra modules for sl2⋉L(4)}, keyword = {sl2-Harish-Chandra module, Enright-Arkhipov localization / completion, Conformal Galilei algebra}, chapternumber = {021701} }
@article{article, author = {Mazorchuk, Volodymyr and Mr\djen, Rafael}, year = {2022}, pages = {21}, DOI = {10.1063/5.0064387}, chapter = {021701}, keywords = {sl2-Harish-Chandra module, Enright-Arkhipov localization / completion, Conformal Galilei algebra}, journal = {Journal of mathematical physics}, doi = {10.1063/5.0064387}, volume = {63}, issn = {0022-2488}, title = {sl2-Harish-Chandra modules for sl2⋉L(4)}, keyword = {sl2-Harish-Chandra module, Enright-Arkhipov localization / completion, Conformal Galilei algebra}, chapternumber = {021701} }

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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