66 citations · 666 across the 45 of their papers we have counts for
17 papers · 1 filter
Sugawara and vertex operator constructions for deformed Virasoro algebras
D. Arnaudon, J. Avan, L. Frappat +2
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistenc…
Exotic Bialgebra S03: Representations, Baxterisation and Applications
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
The exotic bialgebra S03, defined by a solution of the Yang-Baxter equation, which is not a deformation of the trivial, is considered. Its FRT dual algebra is studied. The…
On the R-matrix realization of Yangians and their representations
D. Arnaudon, A. Molev, E. Ragoucy
We study the Yangians Y(a) associated with the simple Lie algebras a of type B, C or D. The algebra Y(a) can be regarded as a quotient of the extended Yangian X(a) whose defining r…
Exotic bialgebras : non-deformation quantum groups
D. Arnaudon, A. Chakrabarti, V. K. Dobrev +1
In the classification of solutions of the Yang--Baxter equation, there are solutions that are not deformations of the trivial solution (essentially the identity). We consider the a…
Irreducible representations of the quantum analogue of SU(2)
Ph. Roche, D. Arnaudon
We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of th…
Classification of reflection matrices related to (super) Yangians and application to open spin chain models
D. Arnaudon, J. Avan, N. Crampe' +3
We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) a…