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Pregled bibliografske jedinice broj: 808985

Lie algebra type noncommutative phase spaces are Hopf algebroids

Meljanac, Stjepan; Škoda, Zoran; Stojić, Martina
Lie algebra type noncommutative phase spaces are Hopf algebroids // Letters in mathematical physics, 107 (2017), 3; 475-503 doi:10.1007/s11005-016-0908-9 (međunarodna recenzija, članak, znanstveni)

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Naslov
Lie algebra type noncommutative phase spaces are Hopf algebroids

Autori
Meljanac, Stjepan ; Škoda, Zoran ; Stojić, Martina

Izvornik
Letters in mathematical physics (0377-9017) 107 (2017), 3; 475-503

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

Ključne riječi
universal enveloping algebra ; noncommutative phase space ; deformed derivative ; Hopf algebroid ; completed tensor product

Sažetak
For a noncommutative configuration space whose coordinate algebra is the universal enveloping algebra of a finite dimensional Lie algebra, it is known how to introduce an extension playing the role of the corresponding noncommutative phase space, namely by adding the commuting deformed derivatives in a consistent and nontrivial way, therefore obtaining certain deformed Heisenberg algebra. This algebra has been studied in physical contexts, mainly in the case of the kappa-Minkowski space-time. Here we equip the entire phase space algebra with a coproduct, so that it becomes an instance of a completed variant of a Hopf algebroid over a noncommutative base, where the base is the enveloping algebra.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika

Napomena
The first author (S.M.) has partially been supported by Croatian Science Foundation grant IP- 2014-09-9582.



POVEZANOST RADA

Projekti:
IP-2014-09-9582 - Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija (Meljanac, Stjepan, HRZZ - 2014-09) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Martina Stojić (autor)

Avatar Url Zoran Škoda (autor)

Avatar Url Stjepan Meljanac (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi arxiv.org link.springer.com

Citiraj ovu publikaciju:

Meljanac, Stjepan; Škoda, Zoran; Stojić, Martina
Lie algebra type noncommutative phase spaces are Hopf algebroids // Letters in mathematical physics, 107 (2017), 3; 475-503 doi:10.1007/s11005-016-0908-9 (međunarodna recenzija, članak, znanstveni)
Meljanac, S., Škoda, Z. & Stojić, M. (2017) Lie algebra type noncommutative phase spaces are Hopf algebroids. Letters in mathematical physics, 107 (3), 475-503 doi:10.1007/s11005-016-0908-9.
@article{article, author = {Meljanac, Stjepan and \v{S}koda, Zoran and Stoji\'{c}, Martina}, year = {2017}, pages = {475-503}, DOI = {10.1007/s11005-016-0908-9}, keywords = {universal enveloping algebra, noncommutative phase space, deformed derivative, Hopf algebroid, completed tensor product}, journal = {Letters in mathematical physics}, doi = {10.1007/s11005-016-0908-9}, volume = {107}, number = {3}, issn = {0377-9017}, title = {Lie algebra type noncommutative phase spaces are Hopf algebroids}, keyword = {universal enveloping algebra, noncommutative phase space, deformed derivative, Hopf algebroid, completed tensor product} }
@article{article, author = {Meljanac, Stjepan and \v{S}koda, Zoran and Stoji\'{c}, Martina}, year = {2017}, pages = {475-503}, DOI = {10.1007/s11005-016-0908-9}, keywords = {universal enveloping algebra, noncommutative phase space, deformed derivative, Hopf algebroid, completed tensor product}, journal = {Letters in mathematical physics}, doi = {10.1007/s11005-016-0908-9}, volume = {107}, number = {3}, issn = {0377-9017}, title = {Lie algebra type noncommutative phase spaces are Hopf algebroids}, keyword = {universal enveloping algebra, noncommutative phase space, deformed derivative, Hopf algebroid, completed tensor product} }

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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