209 citations · 1.4k across the 70 of their papers we have counts for
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Symmetry and Codon Usage Correlations in the Genetic Code
L. Frappat, A. Sciarrino, P. Sorba
The ratios of the codon usage in the quartets and sextets for the vertebrate series exhibit a correlated behaviour which fits naturally in the framework of the crystal basis model…
Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy
M. Mintchev, E. Ragoucy, P. Sorba +1
We show an algebra morphism between Yangians and some finite W-algebras. This correspondence is nicely illustrated in the framework of the Non Linear Schrodinger hierarchy. For suc…
q-deformed W-algebras and elliptic algebras
J. Avan, L. Frappat, M. Rossi +1
The elliptic algebra A_{q,p}(sl(N)_{c}) at the critical level c=-N has an extended center containing trace-like operators t(z). Families of Poisson structures, defining q-deformati…
Universal construction of W_{p,q} algebras
J. Avan, L. Frappat, M. Rossi +1
We present a direct construction of abstract generators for q-deformed W_N algebras. This procedure hinges upon a twisted trace formula for the elliptic algebra A_{q,p}(sl(N)_c) ge…
Central extensions of classical and quantum q-Viraroso algebras
J. Avan, L. Frappat, M. Rossi +1
We investigate the central extensions of the q-deformed (classical and quantum) Virasoro algebras constructed from the elliptic quantum algebra A_{q,p}[sl(N)_c]. After establishing…
A remarkable connection between Yangians and finite W-algebras
E. Ragoucy, P. Sorba
For a large class of finite W algebras, the defining relations of a Yangian are proved to be satisfied. Therefore such finite W algebras appear as realisations of Yangians. This re…
A crystal base for the genetic code
L. Frappat, A. Sciarrino, P. Sorba
The quantum enveloping algebra U_q(sl(2) \oplus sl(2)) in the limit q \to 0 is proposed as a symmetry algebra for the genetic code. In this approach the triplets of nucleotids or c…
Deformed W_N algebras from elliptic sl(N) algebras
J. Avan, L. Frappat, M. Rossi +1
We extend to the sl(N) case the results that we previously obtained on the construction of W_{q,p} algebras from the elliptic algebra A_{q,p}(\hat{sl}(2)_c). The elliptic algebra A…