title: Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations

authors: Kalnins, Ernie G.

subjects: Mathematics

abstract: Unitary irreducible representations of the homogeneous Lorentz group O(3, 1) belonging to the principal series are reduced with respect to the subgroup O(1,1)  O(2). As an application we determine the mixed basis matrix elements between O(3) and O(1,1)  O(2) bases and derive recurrence relations for them. This set of functions is then used to obtain invariant expansions of solutions of the Dirac and Proca free field equations. These expansions are shown to have the correct nonrelativistic limit.

text: Unitary Representations of the Homogeneous Lorentz Group in an O(1,1) O(2) Basis and Some Applications to Relativistic Equations Unitary irreducible representations of the homogeneous Lorentz group O(3, 1) belonging to the principal series are reduced with respect to the subgroup O(1,1)  O(2). As an application we determine the mixed basis matrix elements between O(3) and O(1,1)  O(2) bases and derive recurrence relations for them. This set of functions is then used to obtain invariant expansions of solutions of the Dirac and Proca free field equations. These expansions are shown to have the correct nonrelativistic limit.

year: 1972-09

title: Seeking (and Finding) Ulysses: Some Positive Ageing Narratives in Recent Fiction and Film

authors: Osborne, Patricia Lynne Clara

subjects: Ageing

abstract: The process of ageing is all too often seen as something to be avoided, feared or even, sadly, ridiculed. We are all familiar with literary and film narratives which portray older persons as either curmudgeons or crones, or personify them as being ugly or ill (Up, Grumpy Old Men, Snow White‟s stepmother in disguise, Red Riding Hood‟s grandmother) – images which often translate to real-life assumptions about older people, and ageist attitudes which are not conducive to individuals ageing well. Commentators within the field of Social Gerontology have noted with concern the dominance of such negative stereotypes, linking them to poor outcomes for real-life older persons.

Yet, instinct suggests that we are right to fear such prospects for our own ageing, and this raises the question: „With what can we replace these age-old models of decline and decay?‟
A partial answer to this question can be found in a recent abundance of positive literary and filmic portrayals of older persons leading triumphant, vibrant and adventurous lives. Via a brief survey of some texts and films drawn from the recent past, which includes Joanne Harris‟ novel Chocolat, Helen Simonson‟s Major Pettigrew’s Last Stand, and the films Skyfall and The Best Exotic Marigold Hotel, this thesis examines some positive fictional portrayals of ageing in the light of contemporary research within the social sciences.

Taking as its inspiration the poem „Ulysses‟ by Alfred Lord Tennyson, this thesis is intended to be neither exhaustive nor definitive, and has as its primary motivation the purpose of highlighting key attitudinal and practicable qualities demonstrated within these fictional contexts that are applicable to ageing well in the real world, as indicated within the relevant scholarship.

text: Seeking (and Finding) Ulysses: Some Positive Ageing Narratives in Recent Fiction and Film The process of ageing is all too often seen as something to be avoided, feared or even, sadly, ridiculed. We are all familiar with literary and film narratives which portray older persons as either curmudgeons or crones, or personify them as being ugly or ill (Up, Grumpy Old Men, Snow White‟s stepmother in disguise, Red Riding Hood‟s grandmother) – images which often translate to real-life assumptions about older people, and ageist attitudes which are not conducive to individuals ageing well. Commentators within the field of Social Gerontology have noted with concern the dominance of such negative stereotypes, linking them to poor outcomes for real-life older persons.

Yet, instinct suggests that we are right to fear such prospects for our own ageing, and this raises the question: „With what can we replace these age-old models of decline and decay?‟
A partial answer to this question can be found in a recent abundance of positive literary and filmic portrayals of older persons leading triumphant, vibrant and adventurous lives. Via a brief survey of some texts and films drawn from the recent past, which includes Joanne Harris‟ novel Chocolat, Helen Simonson‟s Major Pettigrew’s Last Stand, and the films Skyfall and The Best Exotic Marigold Hotel, this thesis examines some positive fictional portrayals of ageing in the light of contemporary research within the social sciences.

Taking as its inspiration the poem „Ulysses‟ by Alfred Lord Tennyson, this thesis is intended to be neither exhaustive nor definitive, and has as its primary motivation the purpose of highlighting key attitudinal and practicable qualities demonstrated within these fictional contexts that are applicable to ageing well in the real world, as indicated within the relevant scholarship.

year: 2014

title: Positioning historical trauma theory within Aotearoa New Zealand

authors: Pihama, Leonie

abstract: This article explores the relevance of historical trauma theory for Mäori research. In exploring the impact of historical trauma upon Mäori it has become clear that the terminology associated with historical trauma theory is considered controversial in Aotearoa New Zealand. As such, this article provides an overview of key defi nitions relevant to historical trauma and explores these in relation to recent reporting related to the use of the terms “holocaust” and “genocide” in the context of colonization in Aotearoa New Zealand. It is argued that in order to engage fully with the impacts of colonization on Mäori wellbeing we must articulate fully the impact of historical trauma events and the contribution of those events to the negative health disparities experienced by many of our whänau (extended family), hapü (sub- tribes) and iwi (tribes).

text: Positioning historical trauma theory within Aotearoa New Zealand This article explores the relevance of historical trauma theory for Mäori research. In exploring the impact of historical trauma upon Mäori it has become clear that the terminology associated with historical trauma theory is considered controversial in Aotearoa New Zealand. As such, this article provides an overview of key defi nitions relevant to historical trauma and explores these in relation to recent reporting related to the use of the terms “holocaust” and “genocide” in the context of colonization in Aotearoa New Zealand. It is argued that in order to engage fully with the impacts of colonization on Mäori wellbeing we must articulate fully the impact of historical trauma events and the contribution of those events to the negative health disparities experienced by many of our whänau (extended family), hapü (sub- tribes) and iwi (tribes).

year: 2014