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Prolegomena. List of Tables. Main Notations. Lie Algebras. Lie Superalgebras. Tables. Bibliography. Index.
The main definitions and properties of Lie superalgebras are proposed a la facon de a short dictionary, the different items following the alphabetical order. The main topics deal with the structure… (More)
We consider the open spin-s XXZ quantum spin chain with N sites and general integrable boundary terms for generic values of the bulk anisotropy parameter, and for values of the boundary parameters… (More)
We give a RTT presentation of super-Yangians Y(g) for g=osp(m|2n), thereby unifying the formalism with the cases of g=so(n) and g=sp(2n).
Abstract:We define on the universal enveloping superalgebra of $ a nonstandard adjoint action, endowing it with a module structure. This allows, in particular, to construct a bosonic operator which… (More)
We use the Jack symmetric functions as a basis of the Fock space, and study the action of the Virasoro generators Ln. We calculate explicitly the matrix elements of Ln with respect to the Jack-basis.… (More)
Abstract In the same way the folding of the Dynkin diagram of A 2 n (respectively A 2 n +1 ) produces the B n (respectively C n ) Dynkin diagram, the symmetry algebra W of a Toda model based on B n… (More)
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 of the genetic… (More)
Abstract We formulate the Bethe ansatz equations for the open super-spin chain based on the super Yangian of osp ( M |2 n ) and with diagonal boundary conditions. We then study the bulk and boundary… (More)