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Pregled bibliografske jedinice broj: 1046222

Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction


Prlić, Ana
Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction // Communications in algebra, 48 (2020), 6; 2442-2460 doi:10.1080/00927872.2020.1715419 (međunarodna recenzija, članak, znanstveni)


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Naslov
Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction

Autori
Prlić, Ana

Izvornik
Communications in algebra (0092-7872) 48 (2020), 6; 2442-2460

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

Ključne riječi
discrete series ; Dirac cohomology ; Dirac induction
(discrete series, Dirac cohomology, Dirac induction)

Sažetak
The notion of algebraic Dirac induction was introduced by P.Pandžić and D. Renard. This is a construction which gives representations with prescribed Dirac cohomology. They proved that all holomorphic discrete series representations can be constructed via Dirac induction. All discrete series representations of the group SOe(4, 1) are nonholomorphic. In this paper we prove that they can also be constructed using algebraic Dirac induction.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
KK.01.1.1.01.0004

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Ana Prlić (autor)

Poveznice na cjeloviti tekst rada:

doi www.tandfonline.com www.researchgate.net doi.org

Citiraj ovu publikaciju:

Prlić, Ana
Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction // Communications in algebra, 48 (2020), 6; 2442-2460 doi:10.1080/00927872.2020.1715419 (međunarodna recenzija, članak, znanstveni)
Prlić, A. (2020) Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction. Communications in algebra, 48 (6), 2442-2460 doi:10.1080/00927872.2020.1715419.
@article{article, author = {Prli\'{c}, Ana}, year = {2020}, pages = {2442-2460}, DOI = {10.1080/00927872.2020.1715419}, keywords = {discrete series, Dirac cohomology, Dirac induction}, journal = {Communications in algebra}, doi = {10.1080/00927872.2020.1715419}, volume = {48}, number = {6}, issn = {0092-7872}, title = {Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction}, keyword = {discrete series, Dirac cohomology, Dirac induction} }
@article{article, author = {Prli\'{c}, Ana}, year = {2020}, pages = {2442-2460}, DOI = {10.1080/00927872.2020.1715419}, keywords = {discrete series, Dirac cohomology, Dirac induction}, journal = {Communications in algebra}, doi = {10.1080/00927872.2020.1715419}, volume = {48}, number = {6}, issn = {0092-7872}, title = {Construction of discrete series representations of SOe(4, 1) via algebraic Dirac induction}, keyword = {discrete series, Dirac cohomology, Dirac induction} }

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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