Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Billey E"'
Autor:
Billey, E.
The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a dynamical version of the algebraic nested Bethe ansatz method. We use a result of Felder and Varchenko, who showed how to obtain the Ruijsenaars operator as the transfer ma
Externí odkaz:
http://arxiv.org/abs/math/9806068
Publikováno v:
Commun.Math.Phys. 178 (1996) 281-300
We quantize the spin Calogero-Moser model in the $R$-matrix formalism. The quantum $R$-matrix of the model is dynamical. This $R$-matrix has already appeared in Gervais-Neveu's quantization of Toda field theory and in Felder's quantization of the Kni
Externí odkaz:
http://arxiv.org/abs/hep-th/9505091
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous constructions for the trigonometric and rational cases are also presented
Externí odkaz:
http://arxiv.org/abs/hep-th/9411160
Autor:
Avan, J., Billey, E.
We construct polynomial Poisson algebras of observables for the classical Euler-Calogero-Moser (ECM) models. The conserved Hamiltonians and symmetry algebras derived in a previous work are subsets of these algebras. We define their linear, $N \righta
Externí odkaz:
http://arxiv.org/abs/hep-th/9404040
We compute the $r$-matrix for the elliptic Euler-Calogero-Moser model. In the trigonometric limit we show that the model possesses an exact Yangian symmetry.
Comment: 10 pages, Latex, par-lpthe 94-03
Comment: 10 pages, Latex, par-lpthe 94-03
Externí odkaz:
http://arxiv.org/abs/hep-th/9401117
We construct the $r$-matrix for the generalization of the Calogero-Moser system introduced by Gibbons and Hermsen. By reduction procedures we obtain the $r$-matrix for the $O(N)$ Euler-Calogero-Moser model and for the standard $A_N$ Calogero-Moser mo
Externí odkaz:
http://arxiv.org/abs/hep-th/9312042
Publikováno v:
Topics in Topology and Mathematical Physics. :83-119
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous constructions for the trigonometric and rational cases are also presented
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::380744a32c11e5f784207a08d8ac2bf3
https://doi.org/10.1090/trans2/170/05
https://doi.org/10.1090/trans2/170/05
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Publikováno v:
Physics Letters B
Physics Letters B, 1996, 375 (1-4), pp.89-97. ⟨10.1016/0370-2693(96)00225-0⟩
Physics Letters B, Elsevier, 1996, 375 (1-4), pp.89-97. ⟨10.1016/0370-2693(96)00225-0⟩
Physics Letters B, 1996, 375 (1-4), pp.89-97. ⟨10.1016/0370-2693(96)00225-0⟩
Physics Letters B, Elsevier, 1996, 375 (1-4), pp.89-97. ⟨10.1016/0370-2693(96)00225-0⟩
We consider the universal solution of the Gervais-Neveu-Felder equation in the ${\cal U}_q(sl_2)$ case. We show that it has a quasi-Hopf algebra interpretation. We also recall its relation to quantum 3-j and 6-j symbols. Finally, we use this solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfa8a4f476e6016121088b63b370a41f
https://hal.science/hal-03086691
https://hal.science/hal-03086691
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.