The research for this report was produced under the auspices of the IFS Savings Consortium, to whom the authors are grateful for financial assistance and many useful discussions and comments in the series of seminars over the last four years. The members of the IFS Savings Consortium are: Acknowledgements The research in this report was funded by the IFS Savings Consortium and co-funded by the ...

For several years a colony of standard bred rabbits has been maintained by this laboratory as the basis for the study of problems in constitution. The foundation stock for the colony was built up from pedigreed and registered animals purchased in this country and abroad. The breeds represented were chosen mainly on the basis of physical conformation, and the stock includes a full range of contr...

Emotional synthetic characters are able to evaluate (appraise) events as positive or negative with their emotional states being triggered by several factors. Currently, the vast majority of models for appraisal in synthetic characters consider factors related to the goals and preferences of the characters. We argue that appraisals that only take into consideration these “personal” factors are i...

This paper is a personal look at some issues in the representation theory of Lie groups having to do with the role of commutative hypergroups, bi-modules, and the construction of representations. We begin by considering Frobenius’ original approach to the character theory of a finite group and extending it to the Lie group setting, and then introduce bi-modules as objects intermediate between c...

Partition functions for non-interacting particles are known to be symmetric functions. It is shown that powerful group-theoretical techniques can be used not only to derive these relationships, but also to significantly simplify calculation of the partition functions for particles that carry internal quantum numbers. The partition function is shown to be a sum of one or more group characters. T...

Holroyd, F.C., Reconstructing finite group actions and characters from subgroup information, Discrete Mathematics 110 (1992) 283-287. A finite group G is said to be action reconstructible if, for any action of G on a finite set, the numbers of orbits under restriction to each subgroup always give enough information to reconstruct the action up to equivalence. G is character reconstructible if, ...

In this paper we show that the existence of plane partitions, which are minimal in a sense to be defined, yields minimal irreducible summands in the Kronecker product χ ⊗ χ of two irreducible characters of the symmetric group S(n). The minimality of the summands refers to the dominance order of partitions of n. The multiplicity of a minimal summand χ equals the number of pairs of Littlewood-Ric...

is a functor from groups to rings, endowed with induction (transfer) maps. In this paper we investigate these functors for complex oriented cohomology theories E∗, particularly p–complete theories with an associated formal group of height n. We briefly remind our readers of the terms in this last sentence. A multiplicative cohomology theory E∗ is complex oriented if there exists a class x ∈ E2(...

We determine the 2-modular character table of the third sporadic simple group of Conway, up to two ambiguities. In each of these cases we give the smallest possibility for the character, which is also very likely to be the correct answer.