16,969 research outputs found
The Prime Spectrum and Representation Theory of the Reflection Equation Algebra
The theory of generalized Weyl algebras is used to study the
reflection equation algebra in
the case that is not a root of unity, where the -matrix used to define
is the standard one of type . Simple finite dimensional
-modules are classified, finite dimensional weight modules are
shown to be semisimple, is computed, and the
prime spectrum of is computed along with its Zariski topology.
Finally, it is shown that satisfies the Dixmier-Moeglin
equivalence
Weak amenability and 2-weak amenability of Beurling algebras
Let L^1_\om(G) be a Beurling algebra on a locally compact abelian group
. We look for general conditions on the weight which allows the vanishing of
continuous derivations of L^1_\om(G). This leads us to introducing
vector-valued Beurling algebras and considering the translation of operators on
them. This is then used to connect the augmentation ideal to the behavior of
derivation space. We apply these results to give examples of various classes of
Beurling algebras which are weakly amenable, 2-weakly amenable or fail to be
even 2-weakly amenable.Comment: 25 page
Placing the Normative Logics of Accountability in Thick Perspective
This paper provides a critical reflection on the heavily normative nature of current accountability debates. In particular, three streams of normative discourse on nonprofit accountability are identified: improving board governance; improving performance-based reporting; and, demonstrating progress towards mission. A focus on these normative logics, while important, can mask the realities of social structure and the relations of power that underlie them. The paper thus proposes a more empirical approach to framing accountability problems thick description and interpretation that might enable us better to understand how social regimes of accountability actually operate and in which the instruments of accountability are at least as likely to reproduce relationships of inequality as they are to overturn them.This publication is Hauser Center Working Paper No. 33.2. Hauser Working Paper Series Nos. 33.1-33.9 were prepared as background papers for the Nonprofit Governance and Accountability Symposium October 3-4, 2006
Divine Love and the Argument from Divine Hiddenness
This paper criticizes one of the premises of Schellenberg’s atheistic argument from divine hiddenness. This premise, which can be considered as the foundation of his proposed argument, is based on a specific interpretation of divine love as eros. In this paper I first categorize several concepts of divine love under two main categories, eros and agape; I then answer some main objections to the ascription of eros to God; and in the last part I show that neither on a reading of divine love as agape nor as eros can Schellenberg’s argument be construed as sound. My aim is to show that even if -- contra Nygren for example -- we accept that divine love can be interpreted as eros, Schellenberg’s argument still doesn’t work
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