6,859 research outputs found
Algebraic methods in the theory of generalized Harish-Chandra modules
This paper is a review of results on generalized Harish-Chandra modules in
the framework of cohomological induction. The main results, obtained during the
last 10 years, concern the structure of the fundamental series of
modules, where is a semisimple Lie
algebra and is an arbitrary algebraic reductive in
subalgebra. These results lead to a classification of simple
modules of finite type with generic minimal
types, which we state. We establish a new result about the
Fernando-Kac subalgebra of a fundamental series module. In addition, we pay
special attention to the case when is an eligible subalgebra
(see the definition in section 4) in which we prove stronger versions of our
main results. If is eligible, the fundamental series of
modules yields a natural algebraic generalization
of Harish-Chandra's discrete series modules.Comment: Keywords : generalized Harish-Chandra module, (g,k)-module of finite
type, minimal k-type, Fernando-Kac subalgebra, eligible subalgebra; Pages no.
: 13; Bibliography : 21 item
Invariant Differential Operators for Non-Compact Lie Groups: the Sp(n,R) Case
In the present paper we continue the project of systematic construction of
invariant differential operators on the example of the non-compact algebras
sp(n,R), in detail for n=6. Our choice of these algebras is motivated by the
fact that they belong to a narrow class of algebras, which we call 'conformal
Lie algebras', which have very similar properties to the conformal algebras of
Minkowski space-time. We give the main multiplets and the main reduced
multiplets of indecomposable elementary representations for n=6, including the
necessary data for all relevant invariant differential operators. In fact, this
gives by reduction also the cases for n<6, since the main multiplet for fixed n
coincides with one reduced case for n+1.Comment: Latex2e, 27 pages, 8 figures. arXiv admin note: substantial text
overlap with arXiv:0812.2690, arXiv:0812.265
Coupled opto-electronic simulation of organic bulk-heterojunction solar cells: parameter extraction and sensitivity analysis
A general problem arising in computer simulations is the number of material
and device parameters, which have to be determined by dedicated experiments and
simulation-based parameter extraction. In this study we analyze measurements of
the short-circuit current dependence on the active layer thickness and
current-voltage curves in poly(3-hexylthiophene):[6,6]-phenyl-C61-butyric acid
methyl ester (P3HT:PCBM) based solar cells. We have identified a set of
parameter values including dissociation parameters that describe the
experimental data. The overall agreement of our model with experiment is good,
however a discrepancy in the thickness dependence of the current-voltage curve
questions the influence of the electric field in the dissociation process. In
addition transient simulations are analyzed which show that a measurement of
the turn-off photocurrent can be useful for estimating charge carrier
mobilities.Comment: 10 pages, 12 figures, 2 tables, Accepted for publication in Journal
of Applied Physic
Guidelines Towards Better Participation of Older Adults in Software Development Processes using a new SPIRAL Method and Participatory Approach
This paper presents a new method of engaging older participants in the
process of application and IT solutions development for older adults for
emerging IT and tech startups. A new method called SPIRAL (Support for
Participant Involvement in Rapid and Agile software development Labs) is
proposed which adds both sustainability and flexibility to the development
process with older adults. This method is based on the participatory approach
and user empowerment of older adults with the aid of a bootstrapped Living Lab
concept and it goes beyond well established user-centered and empathic design.
SPIRAL provides strategies for direct involvement of older participants in the
software development processes from the very early stage to support the agile
approach with rapid prototyping, in particular in new and emerging startup
environments with limited capabilities, including time, team and resources
Topological Exchange Statistics in One Dimension
The standard topological approach to indistinguishable particles formulates
exchange statistics by using the fundamental group to analyze the connectedness
of the configuration space. Although successful in two and more dimensions,
this approach gives only trivial or near trivial exchange statistics in one
dimension because two-body coincidences are excluded from configuration space.
Instead, we include these path-ambiguous singular points and consider
configuration space as an orbifold. This orbifold topological approach allows
unified analysis of exchange statistics in any dimension and predicts novel
possibilities for anyons in one-dimensional systems, including non-abelian
anyons obeying alternate strand groups. These results clarify the
non-topological origin of fractional statistics in one-dimensional anyon
models.Comment: v3: major revision and expansion from last edition; 16 pgs., 5 figs.,
109 ref
The effectiveness of paid services in supporting carers' employment in England
This paper explores the effectiveness of paid services in supporting unpaid carers’ employment in England. There is currently a new emphasis in England on ‘replacement care’, or paid services for the cared-for person, as a means of supporting working carers. The international evidence on the effectiveness of paid services as a means of supporting carers’ employment is inconclusive and does not relate specifically to England. The study reported here explores this issue using the 2009/10 Personal Social Services Survey of Adult Carers in England. The study finds a positive association between carers’ employment and receipt of paid services by the cared-for person, controlling for covariates. It therefore gives support to the hypothesis that services for the cared-for person are effective in supporting carers’ employment. Use of home care and a personal assistant are associated on their own with the employment of both men and women carers, while use of day care and meals-on-wheels are associated specifically with women’s employment. Use of short-term breaks are associated with carers’ employment when combined with other services. The paper supports the emphasis in English social policy on paid services as a means of supporting working carers, but questions the use of the term ‘replacement care’ and the emphasis on ‘the market’
On the scattering theory of the classical hyperbolic C(n) Sutherland model
In this paper we study the scattering theory of the classical hyperbolic
Sutherland model associated with the C(n) root system. We prove that for any
values of the coupling constants the scattering map has a factorized form. As a
byproduct of our analysis, we propose a Lax matrix for the rational C(n)
Ruijsenaars-Schneider-van Diejen model with two independent coupling constants,
thereby setting the stage to establish the duality between the hyperbolic C(n)
Sutherland and the rational C(n) Ruijsenaars-Schneider-van Diejen models.Comment: 15 page
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