Zobrazeno 1 - 10
of 73
pro vyhledávání: '"Luc Frappat"'
Publikováno v:
Nuclear Physics B, Vol 944, Iss , Pp - (2019)
A q-analogue of the Higgs algebra, which describes the symmetry properties of the harmonic oscillator on the 2-sphere, is obtained as the commutant of the oq1/2(2)⊕oq1/2(2) subalgebra of oq1/2(4) in the q-oscillator representation of the quantized
Externí odkaz:
https://doaj.org/article/708bd660de324138a6ae11a755f13edd
Publikováno v:
SciPost Physics, Vol 15, Iss 6, p 228 (2023)
We provide a closed Poisson algebra involving the Ragnisco-Bruschi generalization of peakon dynamics in the Camassa-Holm shallow-water equation. This algebra is generated by three independent matrices. From this presentation, we propose a one-paramet
Externí odkaz:
https://doaj.org/article/be792dc27aaf4160b2738849d6cd3711
Publikováno v:
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$. They obey a modified classical
Externí odkaz:
https://doaj.org/article/1e93a3b417004278a9fb1e095197264a
The algebraic structure of the rank two Racah algebra is studied in detail. We provide an automorphism group of this algebra, which is isomorphic to the permutation group of five elements. This group can be geometrically interpreted as the symmetry o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::603a92f457ed24cf1a2156f7ac234d4d
http://arxiv.org/abs/2206.01031
http://arxiv.org/abs/2206.01031
Autor:
Julien Gaboriaud, Luc Frappat, Loïc Poulain d'Andecy, Eric Ragoucy, Nicolas Crampé, Luc Vinet
Publikováno v:
J.Phys.A
J.Phys.A, 2021, 54 (6), pp.063001. ⟨10.1088/1751-8121/abd783⟩
J.Phys.A, 2021, 54 (6), pp.063001. ⟨10.1088/1751-8121/abd783⟩
The original Askey-Wilson algebra introduced by Zhedanov encodes the bispectrality properties of the eponym polynomials. The name 'Askey-Wilson algebra' is currently used to refer to a variety of related structures that appear in a large number of co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9a66882075fb9154c8cca6232afef1e3
https://hal.archives-ouvertes.fr/hal-02973158
https://hal.archives-ouvertes.fr/hal-02973158
Publikováno v:
SIGMA
SIGMA, 2020, 16, pp.094. ⟨10.3842/SIGMA.2020.094⟩
SIGMA, 2020, 16, pp.094. ⟨10.3842/SIGMA.2020.094⟩
International audience; We present a systematic derivation of the abelianity conditions for the $q$-deformed $W$-algebras constructed from the elliptic quantum algebra $\mathcal{A}_{q,p}\big(\widehat{\mathfrak{gl}}(N)_{c}\big)$. We identify two sets
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5360b2d092e908eb9a486556ca260bd0
http://arxiv.org/abs/2005.03579
http://arxiv.org/abs/2005.03579
Publikováno v:
SciPost Phys.
SciPost Phys., 2020, 8, pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics
SciPost Physics, SciPost Foundation, 2020, 8 (3), pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
SciPost Phys., 2020, 8, pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics
SciPost Physics, SciPost Foundation, 2020, 8 (3), pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$. They obey a modified classical ref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b4342206aafb81019fcfa738fdc28f
https://hal.archives-ouvertes.fr/hal-02423742
https://hal.archives-ouvertes.fr/hal-02423742
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2017, 254, pp.753. ⟨10.1007/s00220-017-2909-7⟩
Communications in Mathematical Physics, Springer Verlag, 2017, 254, pp.753. ⟨10.1007/s00220-017-2909-7⟩
We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows us to make contact with the vertex operator techniques that were introd
Publikováno v:
Journal of Physics A: Mathematical and Theoretical
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2019, 52 (42), pp.424001. ⟨10.1088/1751-8121/ab433f⟩
Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2019, 52 (42), pp.424001. ⟨10.1088/1751-8121/ab433f⟩
We provide an explicit isomorphism between a quotient of the Bannai--Ito algebra and the Brauer algebra. We clarify also the connection with the action of the Lie superalgebra osp(1|2) on the threefold tensor product of its fundamental representation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b831a43326b7681aba4067a5ae35d31c
Publikováno v:
Phys.Lett.A
Phys.Lett.A, 2019, 383, pp.1531-1535. ⟨10.1016/j.physleta.2019.02.024⟩
Phys.Lett.A, 2019, 383, pp.1531-1535. ⟨10.1016/j.physleta.2019.02.024⟩
The Hahn algebra encodes the bispectral properties of the eponymous orthogonal polynomials. In the discrete case, it is isomorphic to the polynomial algebra identified by Higgs as the symmetry algebra of the harmonic oscillator on the $2$-sphere. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::96a44216c501eef653fa501ab29708ad
http://arxiv.org/abs/1811.09359
http://arxiv.org/abs/1811.09359