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Pregled bibliografske jedinice broj: 1015393

Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures

Lukierski, Jerzy; Meljanac, Stjepan; Woronowicz, Mariusz
Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures // Physics letters. B, 789 (2019), 82-87 doi:10.1016/j.physletb.2018.11.055 (međunarodna recenzija, članak, znanstveni)

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Naslov
Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures

Autori
Lukierski, Jerzy ; Meljanac, Stjepan ; Woronowicz, Mariusz

Izvornik
Physics letters. B (0370-2693) 789 (2019); 82-87

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

Ključne riječi
Noncommutative geometry ; phase space ; deformation: twist ; Hopf algebroid

Sažetak
We consider the generalized (10+10) -dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra H and quantum Poincare Hopf group Gˆ . Two Hopf algebroid structures of generalized phase spaces with spin sector will be investigated: first one H(10, 10) describing dynamics on quantum group algebra Gˆ provides by the Heisenberg double algebra HD=H⋊Gˆ , and second, denoted by H˜(10, 10) , describing twisted Hopf algebroid with base space containing twisted noncommutative Minkowski space xˆμ . We obtain the first explicit example of Hopf algebroid structure of relativistic quantum phase space which contains quantum-deformed Lorentz spin sector.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

Napomena
PolishNationalScienceCenter, project2017/27/B



POVEZANOST RADA

Projekti:
2017/27/B/ ST2/01902

Ustanove:
Institut "Ruđer Bošković", Zagreb

Profili:

Avatar Url Stjepan Meljanac (autor)

Poveznice na cjeloviti tekst rada:

doi doi.org www.sciencedirect.com arxiv.org fulir.irb.hr

Citiraj ovu publikaciju:

Lukierski, Jerzy; Meljanac, Stjepan; Woronowicz, Mariusz
Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures // Physics letters. B, 789 (2019), 82-87 doi:10.1016/j.physletb.2018.11.055 (međunarodna recenzija, članak, znanstveni)
Lukierski, J., Meljanac, S. & Woronowicz, M. (2019) Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures. Physics letters. B, 789, 82-87 doi:10.1016/j.physletb.2018.11.055.
@article{article, author = {Lukierski, Jerzy and Meljanac, Stjepan and Woronowicz, Mariusz}, year = {2019}, pages = {82-87}, DOI = {10.1016/j.physletb.2018.11.055}, keywords = {Noncommutative geometry, phase space, deformation: twist, Hopf algebroid}, journal = {Physics letters. B}, doi = {10.1016/j.physletb.2018.11.055}, volume = {789}, issn = {0370-2693}, title = {Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures}, keyword = {Noncommutative geometry, phase space, deformation: twist, Hopf algebroid} }
@article{article, author = {Lukierski, Jerzy and Meljanac, Stjepan and Woronowicz, Mariusz}, year = {2019}, pages = {82-87}, DOI = {10.1016/j.physletb.2018.11.055}, keywords = {Noncommutative geometry, phase space, deformation: twist, Hopf algebroid}, journal = {Physics letters. B}, doi = {10.1016/j.physletb.2018.11.055}, volume = {789}, issn = {0370-2693}, title = {Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures}, keyword = {Noncommutative geometry, phase space, deformation: twist, Hopf algebroid} }

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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