Pregled bibliografske jedinice broj: 672430
Generalizations of Poisson structures related to rational Gaudin model
Generalizations of Poisson structures related to rational Gaudin model // Annales henri poincare, 16 (2015), 7; 1689-1707 doi:10.1007/s00023-014-0350-4 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalizations of Poisson structures related to rational Gaudin model
Autori
Gurevich, Dimitri ; Rubtsov, Vladimir ; Saponov, Pavel ; Škoda, Zoran
Izvornik
Annales henri poincare (1424-0637) 16
(2015), 7;
1689-1707
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Gaudin model ; Poisson structure ; (modified) Reflection Equation algebra ; braiding ; involutive symmetry ; Hecke symmetry
Sažetak
The Poisson structure arising in the Hamiltonian approach to the rational Gaudin model looks very similar to the so-called modified Reflection Equation Algebra. Motivated by this analogy, we realize a braiding of the mentioned Poisson structure, i.e. we introduce a "braided Poisson" algebra associated with an involutive solution to the quantum Yang-Baxter equation. Also, we exhibit another generalization of the Gaudin type Poisson structure by replacing the first derivative in the current parameter, entering the so-called local form of this structure, by a higher order derivative. Finally, we introduce a structure, which combines both generalizations. Some commutative families in the corresponding braided Poisson algebra are found.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika
POVEZANOST RADA
Projekti:
MZOS-037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, MZOS ) ( CroRIS)
MZOS-098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Meljanac, Stjepan, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Zoran Škoda
(autor)
Citiraj ovu publikaciju:
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::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts