Irreducible unitary representations with non-zero relative Lie algebra cohomology of the Lie group SO0(2,m)SO_0(2,m)

By a theorem of D. Wigner, an irreducible unitary representation with non-zero $(\frak{g},K)$-cohomology has trivial infinitesimal character, and hence up to unitary equivalence, these are finite in number. We have determined the number of equivalence classes of these representations and the Poincar\'{e} polynomial of cohomologies of these representations for the Lie group $SO_0(2,m)$ for any positive integer $m.$ We have also determined, among these, which are discrete series representations and holomorphic discrete series representations.Comment: 20 pages, 2 figure

Synthesis and characterization of YBCO Thick Films

Thick films of (1-x) YBCO + x Y2O3 (x= 0, 5, 10, 15, 20 wt. %) composites are prepared using diffusion reaction. Microstructural analysis is performed using SEM, and phase conformation of YBCO composite is done by X-ray diffraction method. Data collected are computer controlled through automated programs. XRD of pristine YBCO has orthorhombic phase at room temperature with space group Pmmm, but with the increase in the concentration of Y2O3, impurity peaks were observed. The resistivity vs. temperature was done by four probe method. It is found that by increasing the wt. % of Y2O3 in YBCO matrix, transition temperature (Tc) gradually decreases, and for very high concentration, a semiconducting trend was observed with a drop in resistivity

Study of anti-microbial and anti-tanning agents

The paper surveys diverse antimicrobial and hostile to tanning agents.The objective this work is to formulate and evaluate a polyherbal face pack for cosmetic purpose from natural ingredients. As the biggest organ of the body, your skin retains heaps of supplements, as well as take in various poisons each day.Many restorative healthy skin items can contain endocrine-upsetting phthalates or parabens. These toxic substances can bring about regenerative issues and expanded growth hazard, and studies additionally recommend the more items you utilize, the higher harmful focuses can get in your body. And, because beautifying agents are infamous for having these dangerous ingredients, it is proposed to stay away from cosmetics totally. In any case, if you should utilize it, why not search for common or natural cosmetics?The volatile oils of clove [Syzygium aromaticum], papaya [Carica papaya], turmeric [Curcuma longa], lemon [Citrus limon (L.) Osbeck], neem [Azadirachta indica], tulsi [Ocimum tenuiflorum], aloevera [Aloe Barbadensis Miller]and honey were evaluated for antimicrobial movement against 3 distinct genera of microbes to be specific Pseudomonas aeroginosa, Staphylococcus aureus and Escherichia Coli. The unpredictable oils displayed significant inhibitory impacts against every one of the life forms under test while their real parts exhibited different degrees of development restraint

Generalized seizures during cataract surgery following peribulbar block: A case report

Local anesthesia techniques are commonly used to perform the cataract surgery. Among these techniques, peribulbar anesthesia(PBA), when compared to retrobulbar anesthesia, is more effective and safe. However, PBA is not without risk. Complications mayarise which if not recognized early and resuscitated, can be fatal. A 70-year-old Indian female was admitted for cataract extractionand lens implant in her left eye. Lignocaine sensitivity was done and showed no abnormal reaction. She developed generalized tonicclonicconvulsions following peribulbar block. This case report attempts to highlight the need for a trained personnel, compliancewith safety standards in anesthesia, awareness, and early recognition of the possible complications and their management