5,734 research outputs found
A family of Koszul self-injective algebras with finite Hochschild cohomology
This paper presents an infinite family of Koszul self-injective algebras
whose Hochschild cohomology ring is finite-dimensional. Moreover, for each we give an example where the Hochschild cohomology ring has dimension
. This family of algebras includes and generalizes the 4-dimensional Koszul
self-injective local algebras of Buchweitz, Green, Madsen and Solberg, which
were used to give a negative answer to Happel's question, in that they have
infinite global dimension but finite-dimensional Hochschild cohomology.Comment: 17 page
On quasi-heredity and cell module homomorphisms in the symplectic blob algebra
This paper reports key advances in the study of the representation theory of
the symplectic blob algebra. For suitable specialisations of the parameters we
construct four large families of homomorphisms between cell modules. We hence
find a large family of non-semisimple specialisations. We find a minimal poset
(i.e. least number of relations) for the symplectic blob as a quasi-hereditary
algebra.Comment: 45 pages. arXiv admin note: text overlap with arXiv:0807.410
Groundwater data management by water service providers in peri-urban areas of Lusaka
Groundwater management by water service providers in Lusaka, Zambia, includes borehole siting, drilling and on-going monitoring. Semi-structured interviews were conducted with Lusaka Water and Sewerage Company (LWSC) and devolved Water Trust managers, in order to assess their needs and collect their suggestions to improve data management. The research found that both the Water Trusts and LWSC lacked the capacity to fully utilize hydrogeological information. Prior to the research, none of the ten Water Trusts collected water level data. Four have started to collect data recently and another four have plans to, and they would like to share this data more widely
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