In this note we describe a seemingly new approach to the complex representation theory of the wreath product G o Sd where G is a finite abelian group. The approach is motivated by an appropriate version of Schur-Weyl duality. We construct a combinatorially defined groupoid in which all endomorphism algebras are direct products of symmetric groups and prove that the groupoid algebra is isomorphi...

The purpose of this paper is to investigate the finite group which appears in the study of the Type II Z4-codes. To be precise, it is characterized in terms of generators and relations, and we determine the structure of the centralizer algebras of the tensor representations of this group.

Onshore sediment transport and sandbar migration are important to the morphological evolution of beaches but are not well understood. Here, a model that accounts for fluid accelerations in waves predicts the onshore sandbar migration observed on an ocean beach. In both the observations and the model, the location of the maximum acceleration-induced transport moves shoreward with the sandbar, re...

One possible generalization of the notion of (Boolean) contact algebras is to weaken the algebraic structure from Boolean algebras to distributive lattices. The main goal of this paper is to investigate the representation theory of that weaker notion, i.e. whether it is still possible to represent each abstract algebra by a substructure of the regular closed sets of a suitable topological space...

Constructions of quaternion and octonion algebras, suggested to have new level and sublevel values, are proposed and justified. In particular, octonion algebras of level and sublevel 6 and 7 are constructed. In addition, Hoffmann’s proof of the existence of infinitely many new values for the level of a quaternion algebra is generalised and adapted.

In this paper we begin a classification of simple and semisimple totally antiflexible algebras (finite-dimensional) over splitting fields of char. ^2, 3.. For such an algebra A , let P be the largest associative ideal in A and let /V+ be the radical of P. We determine all simple and semisimple totally antiflexible algebras in which N ■ N =0. Defining A to be of type (m, n) if N is nilpotent of ...

Let V be a vertex operator algebra. We construct a sequence of associative algebras A n (V) (n = 0; 1; 2; :::) such that A n (V) is a quotient of A n+1 (V) and a pair of functors between the category of A n (V)-modules which are not A n?1 (V)-modules and the category of admissible V-modules. These functors exhibit a bijection between the simple modules in each category. We also show that V is r...

In this paper we investigate the validity of a cancellation law for some classes of monounary algebras.

In this paper, we determine the isomorphism classes of the central simple Poisson algebras introduced earlier by the second author. The Lie algebra structures of these Poisson algebras are in general not finitely-graded.