Some studies on dynkin diagrams associated with Kac-moody algebra

In the present project report, a sincere report has been made to construct and study the basic information related to Simple Lie Algebras, Kac-Moody algebras and their corresponding Dynkin Diagrams. In chapter-1, I have given the definitions of Lie Algebra and some of the terms related to Lie algebra, i.e. subalgebras, ideals, Abelian, solvability, nilpotency etc. Also, I have done the classifications of Classical Lie algebras. In chapter-2, I addressed the basics of Representation Theory, i.e. structure constants, modules, reflections in a Euclidean space, root systems (simple roots) and their corresponding root diagrams. Then I have discussed the formation of Dynkin Diagrams and cartan matrices associated with the roots of the simple lie algebras. In chapter-3, I have given the necessary theory based on Kac-Moody lie algebras and their classifications. Then the definition of the extended Dynkin diagrams for Affinization of Kac-Moody algebras and the Dynkin Diagrams associated with the affine Kac-Moody algebras are provide

IN OVO AND POST-HATCH NUTRITIONAL PROGRAMMING TO IMPROVE BROILER PERFORMANCE AND GUT HEALTH

Ph.D

Antioxidant Potential of Glycyrrhiza glabra L. roots: In-Vitro Evidences

Background: The study was aimed to determine the mechanism of antioxidant effects of Glycyrrhiza glabra L. (GG) roots using in-vitro assays.Methods: The various extracts of GG roots were prepared and evaluated for DPPH scavenging, reducing effects and nitric oxide inhibiting activities. Prepared extracts were screened for the presence of various phytochemicals and quantified on the basis of phytochemical present therein.Results: The results showed that all the prepared extracts contained phenolic compounds. Also, extract showed appreciable antioxidant effects in all three assays employed. However, among prepared extracts, ethylacetate extract was found to have strong free radical inhibition, ferric reducing potential and nitric oxide inhibitory effects. The reason for high antioxidant activity in ethylacetate extract could be attributed to the significant amount of phenol compounds present in it. Conclusion: Evidently, GG’s capacity to scavenge free radicals, reducing potential and inhibit nitric oxide contributes to its antioxidant effects and thus, could be a strong candidate for developing antioxidant based drug therapy

Design of Compact MIMO Antenna for 5G/Ultra-Wideband Communications

In this contribution, a compact 13 GHz notched band Multiple-Input Multiple-Output (MIMO) antenna is accessible for Ultra-Wide Band/broadband communication in metric linear unit wave band. The antenna structure has been designed on one substrate of FR-4 of thickness 1.6 mm.Two symmetrical microstrip patch antenna elements positioned in vertical direction to realised better diversity performance.The antenna elements are made up of a rectangular patch with microstrip feed line, operatingon the frequency of 28 GHz for Ultra-wide band applications. The result of designed structure has been computed numerical by FEM based solver HFSS v 13. Fromthe simulation results, it is clear that the proposed MIMO antenna structure covers 24.048 GHz to 37.04 GHzwith impedance bandwidth of 13 GHz (S11 better than -10dB) and also the isolation is found better than -20 dB in full wideband application. The gain of proposed MIMO antennadesigned structure has found approximately 2.11 dB