R-matrices and the tensor product graph method

A systematic method for constructing trigonometric R-matrices corresponding to the (multiplicity-free) tensor product of any two affinizable representations of a quantum algebra or superalgebra has been developed by the Brisbane group and its collaborators. This method has been referred to as the Tensor Product Graph Method. Here we describe applications of this method to untwisted and twisted quantum affine superalgebras.

Australian Newspaper History Group Newsletter

Current findings related to the history of Australian newspapers.

Australian Newspaper History Group Newsletter

Current findings, news and announcements related to the history of Australian newspapers.

Australian Newspaper History Group Newsletter

Current findings, news and announcements related to the history of Australian newspapers.

Group outside the Sub Inspector Office during Ky visit

Group of people outside the Sub Inspector Office during visit of former South Vietnamese vice president Nguyen Cao Ky to Brisbane, Australia in January 1967.

Group of marchers during Mayday procession 1966 Brisbane, Australia

Group of marchers during Mayday procession 1966 Brisbane, Australia including children and dog. The group is passing Pearl Assurance House in Queen Street, Brisbane. Marchers have flags and banners relating to anti war and anti nuclear tests.

Atomic Latin squares of order eleven

A Latin square is pan-Hamiltonian if the permutation which defines row i relative to row j consists of a single cycle for every i j. A Latin square is atomic if all of its conjugates are pan-Hamiltonian. We give a complete enumeration of atomic squares for order 11, the smallest order for which there are examples distinct from the cyclic group. We find that there are seven main classes, including the three that were previously known. A perfect 1-factorization of a graph is a decomposition of that graph into matchings such that the union of any two matchings is a Hamiltonian cycle. Each pan-Hamiltonian Latin square of order n describes a perfect 1-factorization of Kn,n, and vice versa. Perfect 1-factorizations of Kn,n can be constructed from a perfect 1-factorization of Kn+1. Six of the seven main classes of atomic squares of order 11 can be obtained in this way. For each atomic square of order 11, we find the largest set of Mutually Orthogonal Latin Squares (MOLS) involving that square. We discuss algorithms for counting orthogonal mates, and discover the number of orthogonal mates possessed by the cyclic squares of orders up to 11 and by Parker's famous turn-square. We find that the number of atomic orthogonal mates possessed by a Latin square is not a main class invariant. We also define a new sort of Latin square, called a pairing square, which is mapped to its transpose by an involution acting on the symbols. We show that pairing squares are often orthogonal mates for symmetric Latin squares. Finally, we discover connections between our atomic squares and Franklin's diagonally cyclic self-orthogonal squares, and we correct a theorem of Longyear which uses tactical representations to identify self-orthogonal Latin squares in the same main class as a given Latin square.

Quantum symmetries and the Weyl–Wigner product of group representations

In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's theorem. In the phase-space formulation, they have real, true unitary representations in the space of square-integrable functions on phase space. Each such phase-space representation is a Weyl–Wigner product of the corresponding Hilbert space representation with its contragredient, and these can be recovered by 'factorizing' the Weyl–Wigner product. However, not every real, unitary representation on phase space corresponds to a group of automorphisms, so not every such representation is in the form of a Weyl–Wigner product and can be factorized. The conditions under which this is possible are examined. Examples are presented.

Undergraduate student experiences and perceptions of group projects

This paper reports the experiences and perceptions of student group projects of three cohorts of undergraduates: a 3rd year capstone course in professional communication (N = 54), a 3rd year elective in chemical engineering (N = 29), and a core 2nd-year course in chemical engineering (N = 74).

Megan Henderson and Gay Walkington in Wattle Dance Group, Christmas 1968

Megan Henderson and Gay Walkington in Wattle Dance Group, Christmas 1968. The Wattle Dance Group met every Saturday in the Trades Hall, Brisbane, Australia. They held an concert at the end of each year. Janet Henderson was the mainstay and taught along with a few others. Jean Leary was the pianist. She took over from Eva Bacon.

June Hill in Wattle Dance Group, Christmas 1968

June Hill in Wattle Dance Group, Christmas 1968. The Wattle Dance Group met every Saturday in the Trades Hall, Brisbane, Australia. They held an concert at the end of each year. Janet Henderson was the mainstay and taught along with a few others. Jean Leary was the pianist. She took over from Eva Bacon.

Julie Walkington and Karlin Bracegirdle in Wattle Dance Group, Christmas 1968

Julie Walkington and Karlin Bracegirdle in Wattle Dance Group, Christmas 1968. The Wattle Dance Group met every Saturday in the Trades Hall, Brisbane, Australia. They held an concert at the end of each year. Janet Henderson was the mainstay and taught along with a few others. Jean Leary was the pianist. She took over from Eva Bacon.

The Indotriradites dolianitii Morphon, a distinctive group of miospore species from the Lower Carboniferous of Gondwana

An emended diagnosis and generic reallocation are proposed for the trilete miospore Indotriradites dolianitii (Daemon, 1974) Loboziak et al., comb. nov. A new species, I. daemonii Loboziak et al., sp. nov., from Viséan strata of Western Gondwana, is erected. These two species, together with I. zosteriformis (Playford et Satterthwait) Playford, 1991 from the Viséan of Australia, belong to a cohesive morphological miospore category, here termed the Indotriradites dolianitii Morphon, which is evidently restricted to the Lower Carboniferous of Gondwana.

Prevention of child behavior problems through universal implementation of a group behavioral family intervention.

The aim of this mental health promotion initiative was to evaluate the effectiveness of a universally delivered group behavioral family intervention (BFI) in preventing behavior problems in children. This study investigates the transferability of an efficacious clinical program to a universal prevention intervention delivered through child and community health services targeting parents of preschoolers within a metropolitan health region. A quasiexperimental two-group (BFI, n=804 vs. Comparison group, n=806) longitudinal design followed preschool aged children and their parents over a 2-year period. BFI was associated with significant reductions in parent-reported levels of dysfunctional parenting and parent-reported levels of child behavior problems. Effect sizes on child behavior problems ranged from large (.83) to moderate (.47). Positive and significant effects were also observed in parent mental health, marital adjustment, and levels of child rearing conflict. Findings are discussed with respect to their implication for significant population reductions in child behavior problems as well as the pragmatic challenges for prevention science in encouraging both the evaluation and uptake of preventive initiatives in real world settings.

Australian Newspaper History Group Newsletter

Current findings, news and announcements related to the history of Australian newspapers.