Using a general formalism of a q-deformation of an arbitrary Lie algebra, new kinds of qdeformed centerless Virasoro and U(1) Kac-Moody algebras are found. This q-deformation is associated to an R-matrix of unit square satisfying the quantum Yang-Baxter equation and allows a nontrivial Hopf structure. The central extension is also incorporated in this formalism. MIRAMARE { TRIESTE August 1998 J...

These lecture notes are a brief introduction to Wess-Zumino-Witten models, and their current algebras, the affine Kac-Moody algebras. After reviewing the general background, we focus on the application of representation theory to the computation of 3-point functions and fusion rules.

We use fermionic representations to obtain a class of BC N -graded Lie algebras coordinatized by quantum tori with nontrivial central extensions. 0 Introduction Lie algebras graded by the reduced finite root systems were first introduced by Berman-Moody [BM] in order to understand the generalized intersection matrix algebras of Slodowy. [BM] classified Lie algebras graded by the root systems of...

This paper problematises the justification of ‘postist’ revisions humanism. In first part paper, a line thought that persistently marks self-perception man is presented. It stretches from Plato, through Pico della Mirandola and Kant, all way to existentialism philosophical anthropology in twentieth century. it, understood as chronically deficient their own ‘nature’ or ‘essence’, his privileged ...