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Pregled bibliografske jedinice broj: 859431

Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1)


Prlić, Ana
Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1) // Journal of lie theory, 26 (2016), 3; 889-910 (međunarodna recenzija, članak, znanstveni)


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Naslov
Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1)

Autori
Prlić, Ana

Izvornik
Journal of lie theory (0949-5932) 26 (2016), 3; 889-910

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

Ključne riječi
Lie group ; Lie algebra ; discrete series ; highest weight ; minimal K-type ; Dirac operator ; Dirac cohomology ; Dirac induction

Sažetak
In a joint paper P. Pandžić and D. Renard proved that holomorphic and antiholomorphic discrete series representations can be constructed via algebraic Dirac induction. The group SU (2, 1) , except for those two types, also has a third type of discrete series representations that are neither holomorphic nor antiholomorphic. In this paper we show that nonholomorphic discrete series representations of the group SU (2, 1) can also be constructed using algebraic Dirac induction.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
HRZZ-4176

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

Profili:

Avatar Url Ana Prlić (autor)

Citiraj ovu publikaciju:

Prlić, Ana
Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1) // Journal of lie theory, 26 (2016), 3; 889-910 (međunarodna recenzija, članak, znanstveni)
Prlić, A. (2016) Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1). Journal of lie theory, 26 (3), 889-910.
@article{article, author = {Prli\'{c}, Ana}, year = {2016}, pages = {889-910}, keywords = {Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, Dirac cohomology, Dirac induction}, journal = {Journal of lie theory}, volume = {26}, number = {3}, issn = {0949-5932}, title = {Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1)}, keyword = {Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, Dirac cohomology, Dirac induction} }
@article{article, author = {Prli\'{c}, Ana}, year = {2016}, pages = {889-910}, keywords = {Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, Dirac cohomology, Dirac induction}, journal = {Journal of lie theory}, volume = {26}, number = {3}, issn = {0949-5932}, title = {Algebraic Dirac Induction for Nonholomorphic Discrete Series of SU(2, 1)}, keyword = {Lie group, Lie algebra, discrete series, highest weight, minimal K-type, Dirac operator, 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





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