title: Models of q-algebra representations: Tensor products of special unitary and oscillator algebras

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: This paper begins a study of one- and two-variable function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. The algebras considered are the quantum algebra Uq(su2) and a q analog of the oscillator algebra (not a quantum algebra). In each case a simple one-variable model of the positive discrete series of finite- and infinite-dimensional irreducible representations is used to compute the Clebsch–Gordan coefficients. It is shown that various q analogs of the exponential function can be used to mimic the exponential mapping from a Lie algebra to its Lie group and the corresponding matrix elements of the ``group operators'' on these representation spaces are computed. It is shown that the matrix elements are polynomials satisfying orthogonality relations analogous to those holding for true irreducible group representations. It is also demonstrated that general q-hypergeometric functions can occur as basis functions in two-variable models, in contrast with the very restricted parameter values for the q-hypergeometric functions arising as matrix elements in the theory of quantum groups.

text: Models of q-algebra representations: Tensor products of special unitary and oscillator algebras This paper begins a study of one- and two-variable function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. The algebras considered are the quantum algebra Uq(su2) and a q analog of the oscillator algebra (not a quantum algebra). In each case a simple one-variable model of the positive discrete series of finite- and infinite-dimensional irreducible representations is used to compute the Clebsch–Gordan coefficients. It is shown that various q analogs of the exponential function can be used to mimic the exponential mapping from a Lie algebra to its Lie group and the corresponding matrix elements of the ``group operators'' on these representation spaces are computed. It is shown that the matrix elements are polynomials satisfying orthogonality relations analogous to those holding for true irreducible group representations. It is also demonstrated that general q-hypergeometric functions can occur as basis functions in two-variable models, in contrast with the very restricted parameter values for the q-hypergeometric functions arising as matrix elements in the theory of quantum groups.

year: 1992-07

title: Hexadecane mineralization activity in hydrocarbon-contaminated soils of Ross Sea region Antarctica may require nutrients and inoculation

authors: Aislabie, Jackie M.

subjects: enhancing alkane mineralization

abstract: Hydrocarbon spills on Antarctic soils occur mainly near settlements where fuel is stored and aircraft and vehicles are refuelled. To investigate those factors that may preclude hexadecane mineralization activity in long-term hydrocarbon-contaminated soils from the Ross Sea Region, samples were collected from Scott Base, the site of former bases (Cape Evans, Marble Point, Vanda Station), and two oil spill sites in the Wright Valley (Bull Pass and Loop Moraine). The soils had low levels of nitrogen (<0.1% total N) and a high C/N ratio (>24) reflecting hydrocarbon contamination. Following soil water adjustment to 10% (v/w), the influence of nutrient addition (250 mg/kg N added as monoammonium phosphate) and inoculation (spiking with Antarctic soil containing high numbers of hydrocarbon degraders) as required on hexadecane mineralization activity was determined. Hexadecane mineralization activity occurred in contaminated soils from Marble Point, Cape Evans and one sample from Vanda Station without nutrient addition. In contrast soils from Scott Base, Cape Evans, another sample from Vanda Station and Loop Moraine required nutrients, whereas Bull Pass soil required inoculation and nutrients before hexadecane mineralization proceeded. Hydrocarbon degrader numbers were highest in coastal soils from Scott Base and Marble Point (10⁷ per gram) and less prevalent in inland soils from Wright Valley (<10⁵ per gram). The bacterial community structure of the soils differed between sites, but soils from the same sites tended to cluster together more closely, except for those from Vanda Station. Addition of nutrients did not cause large shifts in the soil bacterial communities. Results from this study indicate that hydrocarbon degradation may occur at some sites in summer when water is available. Long-term hydrocarbon-contaminated Antarctic soils may provide a valuable resource of hydrocarbon-degrading bacteria that can serve as inocula for more recent oil spills on land.

text: Hexadecane mineralization activity in hydrocarbon-contaminated soils of Ross Sea region Antarctica may require nutrients and inoculation Hydrocarbon spills on Antarctic soils occur mainly near settlements where fuel is stored and aircraft and vehicles are refuelled. To investigate those factors that may preclude hexadecane mineralization activity in long-term hydrocarbon-contaminated soils from the Ross Sea Region, samples were collected from Scott Base, the site of former bases (Cape Evans, Marble Point, Vanda Station), and two oil spill sites in the Wright Valley (Bull Pass and Loop Moraine). The soils had low levels of nitrogen (<0.1% total N) and a high C/N ratio (>24) reflecting hydrocarbon contamination. Following soil water adjustment to 10% (v/w), the influence of nutrient addition (250 mg/kg N added as monoammonium phosphate) and inoculation (spiking with Antarctic soil containing high numbers of hydrocarbon degraders) as required on hexadecane mineralization activity was determined. Hexadecane mineralization activity occurred in contaminated soils from Marble Point, Cape Evans and one sample from Vanda Station without nutrient addition. In contrast soils from Scott Base, Cape Evans, another sample from Vanda Station and Loop Moraine required nutrients, whereas Bull Pass soil required inoculation and nutrients before hexadecane mineralization proceeded. Hydrocarbon degrader numbers were highest in coastal soils from Scott Base and Marble Point (10⁷ per gram) and less prevalent in inland soils from Wright Valley (<10⁵ per gram). The bacterial community structure of the soils differed between sites, but soils from the same sites tended to cluster together more closely, except for those from Vanda Station. Addition of nutrients did not cause large shifts in the soil bacterial communities. Results from this study indicate that hydrocarbon degradation may occur at some sites in summer when water is available. Long-term hydrocarbon-contaminated Antarctic soils may provide a valuable resource of hydrocarbon-degrading bacteria that can serve as inocula for more recent oil spills on land.

year: 2012-02

title: Chief’s Mana in action; a study investigating the team’s perspective.

authors: Howarth, Joelene

subjects: Sports psychology

abstract: Team culture, and its relevance to performance behaviour and attitudes, has recently gained increased focus in sport psychology research and practice (Schroeder, 2010; Cruickshank & Collins 2012; Morgan, Fletcher & Sarkar, 2014). Cruickshank and Collins (2012) state that“high performing cultures prevail when the shared perception and action of the elite team environment members; (a) supports sustained optimal performance; (b) persists across time in the face of variable results(i.e. wins, losses, ties); and most importantly, (c) leads to consistently high performance” (p.340). Spink et al. (2013) found preliminary evidence that a positive psychological climate, as defined by the significance and meaning of the work environment to the individual, is also linked to increased athlete effort. Various researchers suggests that it is a difficult task to change, cultivate and maintain a team culture, that is the social and psychological environment, which promotes best performance (Cruickshank & Collins 2012; Schroeder, 2010).

text: Chief’s Mana in action; a study investigating the team’s perspective. Team culture, and its relevance to performance behaviour and attitudes, has recently gained increased focus in sport psychology research and practice (Schroeder, 2010; Cruickshank & Collins 2012; Morgan, Fletcher & Sarkar, 2014). Cruickshank and Collins (2012) state that“high performing cultures prevail when the shared perception and action of the elite team environment members; (a) supports sustained optimal performance; (b) persists across time in the face of variable results(i.e. wins, losses, ties); and most importantly, (c) leads to consistently high performance” (p.340). Spink et al. (2013) found preliminary evidence that a positive psychological climate, as defined by the significance and meaning of the work environment to the individual, is also linked to increased athlete effort. Various researchers suggests that it is a difficult task to change, cultivate and maintain a team culture, that is the social and psychological environment, which promotes best performance (Cruickshank & Collins 2012; Schroeder, 2010).

year: 2016