Title ofprogram: char Method ofsolution Murnaghan’s rule for the calculation of the irreducible charCatalogue number: AAMK acters of the symmetric group is implemented in a compact program. Program obtainable from: CPC Program Library, Queen’s University of Belfast, N. Ireland (see application form in this issue) Restrictions on the complexity of the problem Limited only by available user memor...

This paper discusses an approach to more believable behaviour by groups of synthetic agents. It considers the theories of William Schutz based on interpersonal relations and provides an initial discussion how it might be implemented within the FAtiMA-PSI architecture.

The characters of the irreducible representations of the symmetric group play an important role in many areas of mathematics. However, since the early work of Frobenius [5] in 1900, no explicit formula was found for them. The characters of the symmetric group were computed through various recursive algorithms, but explicit formulas were only known for about ten particular cases [5, 9]. The purp...

We describe three different methods to compute all those characters of a finite group that have certain properties of transitive permutation characters. First, a combinatorial approach can be used to enumerate vectors of multiplicities. Secondly, these characters can be found as certain integral solutions of a system of inequalities. Thirdly, they are calculated via Gaussian elimination. The me...

This paper presents two studies pertaining to the use of virtual characters applied in clinical forensic rehabilitation of sex offenders. The first study is about the validation of the perceived age of virtual characters designed to simulate primary and secondary sexual character of typical adult and child individuals. The second study puts to use these virtual characters in comparing a group o...

Brauer's centralizer algebras are finite dimensional algebras with a distinguished basis. Each Brauer centralizer algebra contains the group algebra of a symmetric group as a subalgebra and the distinguished basis of the Brauer algebra contains the permutations as a subset. In view of this containment it is desirable to generalize as many known facts concerning the group algebra of the symmetri...

In recent years, virtual environments have evolved from single user and single agent, to multi-user and multi-agent. Furthermore, with the emergence of synthetic characters, collaborative virtual environments can now be populated with characters and users, all interacting, collaborating or competing between each other. However, the user’s interaction with the synthetic characters is not always ...

where dx is the Haar measure of G and C?(G) is the set of all (complexvalued) functions on G which are everywhere indefinitely differentia t e and which vanish outside a compact set. V is called the Gârding subspace of § . Let R and C be the fields of real and complex numbers respectively and g0 the Lie algebra of G. We complexify g0 to Q and denote by $8 the universal enveloping algebra of Q [...

Members of a newly recognized group of hospital staphylococci, which are believed to have arisen from 83A staphylococci by lysogenization, differ from them in several cultural characters. Some but not all of these characters appear to be determined by the carriage of phage.