title: Models of q-algebra representations: Matrix elements of the q-oscillator algebra

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: This article continues a study of function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. Here a q analog of the oscillator algebra (not a quantum algebra) is considered. 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. This ``local'' approach applies to more general families of special functions, e.g., with complex arguments and parameters, than does the quantum group approach. It is shown that the matrix elements themselves transform irreducibly under the action of the algebra. q analogs of a formula are found for the product of two hypergeometric functions 1F1 and the product of a 1F1 and a Bessel function. They are interpreted here as expansions of the matrix elements of a ``group operator'' (via the exponential mapping) in a tensor product basis (for the tensor product of two irreducible oscillator algebra representations) in terms of the matrix elements in a reduced basis. As a by-product of this analysis an interesting new orthonormal basis was found for a q analog of the Bargmann–Segal Hilbert space of entire functions.

text: Models of q-algebra representations: Matrix elements of the q-oscillator algebra This article continues a study of function space models of irreducible representations of q analogs of Lie enveloping algebras, motivated by recurrence relations satisfied by q-hypergeometric functions. Here a q analog of the oscillator algebra (not a quantum algebra) is considered. 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. This ``local'' approach applies to more general families of special functions, e.g., with complex arguments and parameters, than does the quantum group approach. It is shown that the matrix elements themselves transform irreducibly under the action of the algebra. q analogs of a formula are found for the product of two hypergeometric functions 1F1 and the product of a 1F1 and a Bessel function. They are interpreted here as expansions of the matrix elements of a ``group operator'' (via the exponential mapping) in a tensor product basis (for the tensor product of two irreducible oscillator algebra representations) in terms of the matrix elements in a reduced basis. As a by-product of this analysis an interesting new orthonormal basis was found for a q analog of the Bargmann–Segal Hilbert space of entire functions.

year: 1993-11

title: Framing New Zealand: How international media project the images of Aotearoa

authors: Pan, Steve

abstract: Travel stories (travelogues) are a potentially important source through which people can understand different cultures. They could be consulted as frames of reference for immediate or future travel decisions. Consequently, tourism organizations are keen to have their destinations introduced or described in media. It is also essential that 'positive images' of a destination be projected to potential visitors. As a result destination marketing organizations attempt to influence media and use visiting journalist programmes to generate favourable coverage in the travel columns of newspapers and magazines. In tum this demands publicity messages be critically analysed to check whether visiting travel journalists utilize the desired themes (frames). 
Accordingly, the purpose of this thesis is to examine the level of congruence between two sets of frames: those of tourism organizations and those of media. Creating a link between words and pictures, this research explores the possibility of creating interval and ordinal levels of measurement (level of interest and frames salience ranking of travelogues) from textual messages. These datasets are used (1) to measure the congruence level of frames, (2) to visually present frames perception (using Multidimensional Scaling), (3) to test factors that influence level of frames congruence, and (4) to examine variables that affect travelogues' 'level of interest' and the number of senses stimulated. Additionally, this thesis examines the similarities and differences in promotional and writing strategies respectively used by tourism organizations and travel writers. It is believed and hoped, with these analyses, that this thesis can contribute to an understanding of the relationship between the promotional material of tourism organizations and travelogues written by travel journalists. 
Results of the study show that female journalists are important in terms of accommodating frames nuanced differently from the promoted, salient ones. It also shows that itinerary design is essential in frames congruence, level of interest of a travelogue, and senses stimulated for visiting journalists. Moreover, results confirm that most travel journalists do not challenge the major frames promoted by tourism organizations, and nearly 45% of travelogues' editorial content can be traced back to destination promotional material. For a 'hot' destination like New Zealand, this representation cycle is even more consolidated and keeps reinforcing itself. Therefore, the success of tourism public relations campaign should not be measured entirely against the praises levelled upon such a destination that enjoys so much good publicity. Alternatively, it is the constructive criticism (critical evaluation) provided by visiting travel journalists that is 'beneficial' to a destination. The results also support the argument that good and sustained public relations start at home.

text: Framing New Zealand: How international media project the images of Aotearoa Travel stories (travelogues) are a potentially important source through which people can understand different cultures. They could be consulted as frames of reference for immediate or future travel decisions. Consequently, tourism organizations are keen to have their destinations introduced or described in media. It is also essential that 'positive images' of a destination be projected to potential visitors. As a result destination marketing organizations attempt to influence media and use visiting journalist programmes to generate favourable coverage in the travel columns of newspapers and magazines. In tum this demands publicity messages be critically analysed to check whether visiting travel journalists utilize the desired themes (frames). 
Accordingly, the purpose of this thesis is to examine the level of congruence between two sets of frames: those of tourism organizations and those of media. Creating a link between words and pictures, this research explores the possibility of creating interval and ordinal levels of measurement (level of interest and frames salience ranking of travelogues) from textual messages. These datasets are used (1) to measure the congruence level of frames, (2) to visually present frames perception (using Multidimensional Scaling), (3) to test factors that influence level of frames congruence, and (4) to examine variables that affect travelogues' 'level of interest' and the number of senses stimulated. Additionally, this thesis examines the similarities and differences in promotional and writing strategies respectively used by tourism organizations and travel writers. It is believed and hoped, with these analyses, that this thesis can contribute to an understanding of the relationship between the promotional material of tourism organizations and travelogues written by travel journalists. 
Results of the study show that female journalists are important in terms of accommodating frames nuanced differently from the promoted, salient ones. It also shows that itinerary design is essential in frames congruence, level of interest of a travelogue, and senses stimulated for visiting journalists. Moreover, results confirm that most travel journalists do not challenge the major frames promoted by tourism organizations, and nearly 45% of travelogues' editorial content can be traced back to destination promotional material. For a 'hot' destination like New Zealand, this representation cycle is even more consolidated and keeps reinforcing itself. Therefore, the success of tourism public relations campaign should not be measured entirely against the praises levelled upon such a destination that enjoys so much good publicity. Alternatively, it is the constructive criticism (critical evaluation) provided by visiting travel journalists that is 'beneficial' to a destination. The results also support the argument that good and sustained public relations start at home.

year: 2006

title: Keynote Address: Barriers and incentives to Māori participation in the profession of psychology

authors: Levy, Michelle Patricia

subjects: Maori

abstract: It is well known that Māori are overrepresented
within the client group of
psychologists. Despite ongoing attempts to
recruit and retain more Māori within the
discipline of psychology, the numbers of
Māori psychologists continues to remain
low, raising serious concerns about the
ability of the profession to effectively meet
the needs of its clientele. The objectives of this study were to
identify the, barriers to, and incentives for improving the recruitment and retention
of Māori in the profession of
psychology and Māori to gain and maintain registration
as psychologists. This paper is
based on the full report provided to the
New Zealand Psychologists’ Board. The findings in this study
clearly demonstrate that in order to attract
Māori to participate in psychology, the
majority of environments need to change
substantially. It is simply not enough for
organisations, whether they are educational, professional, or service delivery agencies,
to identify the need for more Māori
psychologists, yet still fail to commit to,
and actively engage in, altering long
identified environmental factors that are
barriers to Māori participation.

text: Keynote Address: Barriers and incentives to Māori participation in the profession of psychology It is well known that Māori are overrepresented
within the client group of
psychologists. Despite ongoing attempts to
recruit and retain more Māori within the
discipline of psychology, the numbers of
Māori psychologists continues to remain
low, raising serious concerns about the
ability of the profession to effectively meet
the needs of its clientele. The objectives of this study were to
identify the, barriers to, and incentives for improving the recruitment and retention
of Māori in the profession of
psychology and Māori to gain and maintain registration
as psychologists. This paper is
based on the full report provided to the
New Zealand Psychologists’ Board. The findings in this study
clearly demonstrate that in order to attract
Māori to participate in psychology, the
majority of environments need to change
substantially. It is simply not enough for
organisations, whether they are educational, professional, or service delivery agencies,
to identify the need for more Māori
psychologists, yet still fail to commit to,
and actively engage in, altering long
identified environmental factors that are
barriers to Māori participation.

year: 2003