3,232 research outputs found

    Categorification via blocks of modular representations for slsl_n

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    Bernstein, Frenkel, and Khovanov have constructed a categorification of tensor products of the standard representation of sl2\mathfrak{sl}_2, where they use singular blocks of category O\mathcal{O} for sln\mathfrak{sl}_n and translation functors. Here we construct a positive characteristic analogue using blocks of representations of sln\mathfrak{sl}_n over a field k\textbf{k} of characteristic pp with zero Frobenius character, and singular Harish-Chandra character. We show that the aforementioned categorification admits a Koszul graded lift, which is equivalent to a geometric categorification constructed by Cautis, Kamnitzer, and Licata using coherent sheaves on cotangent bundles to Grassmanians. In particular, the latter admits an abelian refinement. With respect to this abelian refinement, the stratified Mukai flop induces a perverse equivalence on the derived categories for complementary Grassmanians. This is part of a larger project to give a combinatorial approach to Lusztig's conjectures for representations of Lie algebras in positive characteristic

    MICROORGANISMS VARIANTS FOR HEALTHCARE-ASSOCIATED INFECTIONS IN A SELECTED TERTIARY CARE HOSPITAL

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    Objective: Microorganisms are minute and can be only in microscope and these are not visible to naked eyes. Various types of microbe include bacteria, virus, fungi, and protozoa. These microorganisms are subclassified and these are disease causing leading to mortality and morbidity. Healthcare-associated infections (HAIs) arise from different variants of microbes and knowing the category of microbes for treating the diseases with specific antibiotics is important for better patient outcome. Methods: Using secondary data, all the patients who had HAI for 3 years were taken into consideration by considering the different variants of microorganisms. Results: Retrospective data collected for the period of 3 years the inpatients who got admitted for more than 48 h of duration, the data collected included the parameters for various microorganisms such as Bacilli, cocci, Klebsiella, Acinetobacter, and Aures, other micro-organisms such as Escherichia coli, Citrobacter, and Pseudomonas microorganisms. Bacilli group of microorganisms was more common for urinary tract infection, blood stream infection, and ventilator-associated pneumonia. Aures was more common among surgical site infection infections. Conclusions: Most of the patients who had an HAI had two or more different kind of microorganisms which are responsible for spreading infection. There is a need to control microbial flora in the hospital set up as the rate of HAI increases with microbial flora

    Crustacean fishery resources of India- Winter School on Towards Ecosystem Based Management of Marine Fisheries тАУ Building Mass Balance Trophic and Simulation Models

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    Crustaceans comprising numerous edible species of prawns, lobsters and crabs inhabiting different ecosystems form significant portion of the aquatic food resources of the world. The average annual production of edible marine crustaceans of India during 1995- 2001 was 0.36 million tonnes. Due to ever increasing demand for edible marine crustaceans from foreign markets, there has been heavy exploitation of these resources in an unprecedented scale from the Indian seas. Enhancement of fishing effort in deeper grounds, modernization of craft and gears and intensive fishing has resulted in enormous fishing pressure on these resources

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