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Pregled bibliografske jedinice broj: 920274

The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1)

Prlić, Ana
The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1) // Glasnik matematički, 52 (2017), 2; 275-288 doi:10.3336/gm.52.2.07 (međunarodna recenzija, članak, znanstveni)

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Naslov
The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1)

Autori
Prlić, Ana

Izvornik
Glasnik matematički (0017-095X) 52 (2017), 2; 275-288

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

Ključne riječi
Lie group ; Lie algebra ; representation ; Dirac operator ; Dirac cohomology

Sažetak
Let G be the Lie group SOe(4, 1), with maximal compact subgroup K = S(O(4) Ɨ O(1))eā‰… SO(4). Let g =50(5, ā„‚) be the complexification of the Lie algebra g0 = 50(4, 1) of G, and let U(g) be the universal enveloping algebra of gk0. Let g = k  p be the Cartan decomposition of š”¤, and C(š”­) the Clifford algebra of š”­ with respect to the trace form B(X, Y) = tr(XY) on š”­. In this paper we give explicit generators of the algebra (U(š”¤) āŠ— C(š”­)^K.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
HRZZ-IP-4176
ZCI QuantiXLie

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

Profili:

Avatar Url Ana Prlić (autor)

Poveznice na cjeloviti tekst rada:

doi hrcak.srce.hr doi.org

Citiraj ovu publikaciju:

Prlić, Ana
The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1) // Glasnik matematički, 52 (2017), 2; 275-288 doi:10.3336/gm.52.2.07 (međunarodna recenzija, članak, znanstveni)
Prlić, A. (2017) The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1). Glasnik matematički, 52 (2), 275-288 doi:10.3336/gm.52.2.07.
@article{article, author = {Prli\'{c}, Ana}, year = {2017}, pages = {275-288}, DOI = {10.3336/gm.52.2.07}, keywords = {Lie group, Lie algebra, representation, Dirac operator, Dirac cohomology}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.52.2.07}, volume = {52}, number = {2}, issn = {0017-095X}, title = {The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1)}, keyword = {Lie group, Lie algebra, representation, Dirac operator, Dirac cohomology} }
@article{article, author = {Prli\'{c}, Ana}, year = {2017}, pages = {275-288}, DOI = {10.3336/gm.52.2.07}, keywords = {Lie group, Lie algebra, representation, Dirac operator, Dirac cohomology}, journal = {Glasnik matemati\v{c}ki}, doi = {10.3336/gm.52.2.07}, volume = {52}, number = {2}, issn = {0017-095X}, title = {The centralizer of K in U(g) otimes C(p) for the group SOe(4, 1)}, keyword = {Lie group, Lie algebra, representation, Dirac operator, Dirac cohomology} }

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 fĆ¼r Mathematik/Mathematical Abstracts
  • Current Mathematical Publications
  • Referativni Žurnal - Matematika
  • Reference List Journals of MathSciNet

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