Operadic comodules and (co)homology theories

An operad describes a category of algebras and a (co)homology theory for these algebras may be formulated using the homological algebra of operads. A morphism of operads $f:\mathcal{O}\rightarrow\mathcal{P}$ describes a functor allowing a $\mathcal{P}$-algebra to be viewed as an $\mathcal{O}$-algebra. We show that the $\mathcal{O}$-algebra (co)homology of a $\mathcal{P}$-algebra may be represented by a certain operadic comodule. Thus filtrations of this comodule result in spectral sequences computing the (co)homology. As a demonstration we study operads with a filtered distributive law; for the associative operad we obtain a new proof of the Hodge decomposition of the Hochschild cohomology of a commutative algebra. This generalises to many other operads and as an illustration we compute the post-Lie cohomology of a Lie algebra.Comment: 32 page

Novel microgel suspensions : rheological, mechanical and adhesion properties and their filtration behaviour

Imperial Users onl

BILETA Response to IPO consultation to changes to penalties for online copyright infringement

Felipe Romero-Moreno, & James G H Griffin, 'BILETA Response to the UK IPO Consultation on Changes to Penalties for Online Copyright Infringement', August 2015.This is a collaborative submission from a group of academics based in the UK with expertise in Information technology law and related areas. The preparation of the response has been funded by the British and Irish Law Education Law and Technology Association (BILETA http://www.bileta.ac.uk/Home/). This response has been prepared by Dr. Felipe Romero Moreno (University of Hertfordshire) and Dr. James Griffin (University of Exeter). It has been approved by the Executive of BILETA and is therefore submitted on behalf of BILETASubmitted Versio

Public Perceptions of the Midwest\u27s Pavements: Explaining the Relationship Between Pavement Quality and Driver Satisfaction

A three-phase study involving focus groups and sample surveys was conducted in three Midwestern states to assess the amount of satisfaction that motorists who drive on rural, two-lane state highways have with the pavement characteristics of those highways and to explain the relationship between the actual physical condition of the pavements and motorists\u27 satisfaction. Consistently in each state, the direct relationship between pavement quality and driver satisfaction was mediated by cognitive structure—a set of five specific beliefs motorists have about the pavement. The part of the study that (a) applies a powerful psychological model to the task of understanding motorists\u27 satisfaction with pavements; (b) offers reliable measures of driver satisfaction with pavement quality and of belief-based cognitive structure related to pavements; (c) has accomplished the important task of identifying the most salient pavement features considered by members of the public when they evaluate pavement quality; and (d) illustrates very clearly the importance of considering motorists\u27 beliefs about the pavement, issues of trust, and aspects of the Fishbein\u27s attitude model and Ajzen\u27s theory of planned behavior when trying to predict or understand driver satisfaction are covered. Although the pavement management indices used by the state departments of transportation will continue to be used to establish thresholds for improvement triggers, these indices alone do not explain such broad concepts as satisfaction with a particular pavement