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Pregled bibliografske jedinice broj: 672430

Generalizations of Poisson structures related to rational Gaudin model


Gurevich, Dimitri; Rubtsov, Vladimir; Saponov, Pavel; Škoda, Zoran
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)


CROSBI ID: 672430 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

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:

Avatar Url Zoran Škoda (autor)

Poveznice na cjeloviti tekst rada:

doi arxiv.org dx.doi.org link.springer.com

Citiraj ovu publikaciju:

Gurevich, Dimitri; Rubtsov, Vladimir; Saponov, Pavel; Škoda, Zoran
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)
Gurevich, D., Rubtsov, V., Saponov, P. & Škoda, Z. (2015) Generalizations of Poisson structures related to rational Gaudin model. Annales henri poincare, 16 (7), 1689-1707 doi:10.1007/s00023-014-0350-4.
@article{article, author = {Gurevich, Dimitri and Rubtsov, Vladimir and Saponov, Pavel and \v{S}koda, Zoran}, year = {2015}, pages = {1689-1707}, DOI = {10.1007/s00023-014-0350-4}, keywords = {Gaudin model, Poisson structure, (modified) Reflection Equation algebra, braiding, involutive symmetry, Hecke symmetry}, journal = {Annales henri poincare}, doi = {10.1007/s00023-014-0350-4}, volume = {16}, number = {7}, issn = {1424-0637}, title = {Generalizations of Poisson structures related to rational Gaudin model}, keyword = {Gaudin model, Poisson structure, (modified) Reflection Equation algebra, braiding, involutive symmetry, Hecke symmetry} }
@article{article, author = {Gurevich, Dimitri and Rubtsov, Vladimir and Saponov, Pavel and \v{S}koda, Zoran}, year = {2015}, pages = {1689-1707}, DOI = {10.1007/s00023-014-0350-4}, keywords = {Gaudin model, Poisson structure, (modified) Reflection Equation algebra, braiding, involutive symmetry, Hecke symmetry}, journal = {Annales henri poincare}, doi = {10.1007/s00023-014-0350-4}, volume = {16}, number = {7}, issn = {1424-0637}, title = {Generalizations of Poisson structures related to rational Gaudin model}, keyword = {Gaudin model, Poisson structure, (modified) Reflection Equation algebra, braiding, involutive symmetry, Hecke symmetry} }

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


Citati:





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