Learn More
Foreword The main definitions and properties of Lie superalgebras are proposedà la façon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure of simple Lie superalgebras and their finite dimensional representations; rather naturally, a few pages are devoted to supersymmetry. This modest booklet(More)
We introduce two subalgebras in the type A quantum affine algebra which are coideals with respect to the Hopf algebra structure. In the classical limit q → 1 each subalgebra specializes to the enveloping algebra U(k), where k is a fixed point subalgebra of the loop algebra glN [λ, λ −1] with respect to a natural involution corresponding to the embedding of(More)
The quantum enveloping algebra Uq(sl(2) ⊕ sl(2)) in the limit q → 0 is proposed as a symmetry algebra for the genetic code. In this approach the triplets of nucleotids or codons in the DNA chain are classified in crystal bases, tensor product of Uq→0(sl(2)⊕ sl(2)) representations. Such a construction might be compared to the baryon classification from quark(More)
Inspired by factorized scattering from delta–type impurities in (1+1)-dimensional space-time, we propose and analyse a generalization of the Zamolodchikov–Faddeev algebra. Distinguished elements of the new algebra, called reflection and transmission generators, encode the particle–impurity interactions. We describe in detail the underlying algebraic(More)
We construct an algebra homomorphism between the Yangian Y (sl(n)) and the finite W-algebras W(sl(np), n.sl(p)) for any p. We show how this result can be applied to determine properties of the finite dimensional representations of such W-algebras. hep-th/9803243 CERN-TH/98-104 LAPTH-672/98 March 1998 ragoucy@lapp.in2p3.fr On leave of absence from LAPTH.(More)
Factoring out the spin 1 subalgebra of a W algebra leads to a new W structure which can be seen either as a rational finitely generated W algebra or as a polynomial non-linear W∞ realization. ENSLAPP-AL-429/93 NORDITA-93/47-P June 1993 URA 14-36 du CNRS, associée à l’Ecole Normale Supérieure de Lyon, et au Laboratoire d’Annecyle-Vieux de Physique des(More)