In a recent paper [9], the authors introduced the extended Q-bipartite double of an almost dual bipartite cometric association scheme. Since the association schemes arising from linked systems of symmetric designs are almost dual bipartite, this gives rise to a new infinite family of 4-class cometric schemes which are both Q-bipartite and Q-antipodal. These schemes, the schemes arising from lin...

There are only finitely many distance-regular graphs of fixed valency greater than two Abstract In this paper we prove the Bannai-Ito conjecture, namely that there are only finitely many distance-regular graphs of fixed valency greater than two.

Strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [5] and [12]. It was shown that such graphs exist iff the corresponding group is isomorphic to Zpn ⊕Zpn , where p is an odd prime. In this paper we classify all strongly regular Cayley graphs over this group using Schur rings method. As a consequence we obtain a complete classification of strongly...

Let G be a connected reductive linear algebraic group over C and let (; V) be a regular representation of G. There is a locally-nite representation (^ ; C V ]) on the aane algebra C V ] of V deened by ^ (g)f(v) = f(g ?1 v) for f 2 C V ]. Since G is reductive, (^ ; C V ]) decomposes as a direct sum of irreducible regular representations of G. The representation (; V) is said to be multiplicity f...

We propose an algebra of regular hedge expressions built on top of regular hedge grammars as a framework for the analysis and manipulation of hedge languages. We show how linear systems of hedge language equations (LS for short) can be used as an intermediate representation on which to perform the computation of quotient, intersection, product derivative, and factor matrix of regular hedge lang...

The regular representation is related to Zhu’s A(V )-theory and an induced module from an A(V )-module to a V -module is defined in terms of the regular representation. As an application, a new proof of Frenkel and Zhu’s fusion rule theorem is obtained.

The regular representation is related to Zhu’s A(V )-theory and an induced module from an A(V )-module to a V -module is defined in terms of the regular representation. As an application, a new proof of Frenkel and Zhu’s fusion rule theorem is obtained.

We show that every regular Bethe ansatz eigenstate of the XXZ spin chain at roots of unity is a highest weight vector of the sl2 loop algebra and discuss whether it generates an irreducible representation or not. We show it in some sectors with respect to eigenvalues of the total spin operator SZ . The parameter q is given by a root of unity, q2N 0 = 1, for an integer N . Here, q is related to ...

In this paper we describe a MPEG-4 AFX compliant Skin&Bone based animation technique applied on a novel surface representation method, called MESHGRID, which is characterized by a connectivity-description defined in terms of a regular 3D grid of points, i.e. the reference-grid. The approach is based on deforming the regular reference-grid in order to obtain the animation of the vertices of the ...