Fundamental Weights, Permutation Weights and Weyl Character Formula

For a finite Lie algebra $G_N$ of rank N, the Weyl orbits $W(\Lambda^{++})$ of strictly dominant weights $\Lambda^{++}$ contain $dimW(G_N)$ number of weights where $dimW(G_N)$ is the dimension of its Weyl group $W(G_N)$. For any $W(\Lambda^{++})$, there is a very peculiar subset $\wp(\Lambda^{++})$ for which we always have $$dim\wp(\Lambda^{++})=dimW(G_N)/dimW(A_{N-1}) .$$ For any dominant weight $\Lambda^+$, the elements of $\wp(\Lambda^+)$ are called {\bf Permutation Weights}. It is shown that there is a one-to-one correspondence between elements of $\wp(\Lambda^{++})$ and $\wp(\rho)$ where $\rho$ is the Weyl vector of $G_N$. The concept of signature factor which enters in Weyl character formula can be relaxed in such a way that signatures are preserved under this one-to-one correspondence in the sense that corresponding permutation weights have the same signature. Once the permutation weights and their signatures are specified for a dominant $\Lambda^+$, calculation of the character $ChR(\Lambda^+)$ for irreducible representation $R(\Lambda^+)$ will then be provided by $A_N$ multiplicity rules governing generalized Schur functions. The main idea is again to express everything in terms of the so-called {\bf Fundamental Weights} with which we obtain a quite relevant specialization in applications of Weyl character formula.Comment: 6 pages, no figures, TeX, as will appear in Journal of Physics A:Mathematical and Genera

Expression and prognostic significance of cox-2 and p-53 in hodgkin lymphomas: a retrospective study

<p>Abstract</p> <p>Background</p> <p>Cyclooxygenase (cox) is the rate-limiting enzyme, which catalyzes the conversion of arachidonic acid into prostaglandins and contributes to the inflammatory process. Cyclooxygenase-2 (cox-2), which is one of the two isoforms, plays a role in tumor progression and carcinogenesis. p53 contributes to apoptosis, DNA renewal and cell cycle. Studies concerning the relationship of cox-2 and p53 expressions and carcinogenesis are available, but the association between cox-2 and p53 in Hodgkin lymphoma (HL) is not exactly known.</p> <p>In our study, we examined the association of cox-2 and p53 expression, with age, stage, histopathological subtype, and survival in HL. We also examined correlation between cox-2 and p53 expression.</p> <p>Methods</p> <p>Cox-2 and p53 expressions in Hodgkin-Reed Sternberg cells (HRS) were examined in 54 patients with HL depending on cox-2 expression, stained cases were classified as positive, and unstained cases as negative. Nuclear staining of HRS cells with p53 was evaluated as positive. The classifications of positivity were as follows: negative if<10%; (1+) if 10-25%; (2+) if 25-50%; (3+) if 50-75%, (4+) if >75%.</p> <p>Results</p> <p>Cox-2 and p53 expressions were found in 49 (80%) and 29 (46%) patients, respectively. There were differences between histological subtypes according to cox-2 expression (p = 0.012). Mixed cellular (MC) and nodular sclerosing (NS) subtypes were seen most of the patients and cox-2 expression was evaluated mostly in the mixed cellular subtype.</p> <p>There were no statistically significant relationships between p53 and the histopathological subtypes; or between p53, cox-2 and the factors including stage, age and survival; or between p53 and cox-2 expression (p > 0.05).</p> <p>Conclusion</p> <p>Considering the significant relationship between the cox-2 expression and the subtypes of HL, cox-2 expression is higher in MC and NS subtypes. However the difference between these two subtypes was not significant. This submission must be advocated by studies with large series</p

Food poisoning in emergency units [Acil tedavi birimlerinde gıda zehirlenmeleri]

Physicians and allied health personnel are very frequently faced with food poisoning in emergency units. Primarily, a correct diagnosis is important for the success of treatment for a patient with suspected food poisoning who comes or is brought to an emergency unit. For this, taking a detailed history from the patient and taking necessary clinical samples (blood, feces, vomit, etc.) to be sent to the laboratory for a diagnosis as soon as possible are priorities. Before or during the treatment judicial authorities must be informed of the food poisoning incident. If the physicians and other health care personnel in the emergency units have enough theoretical and practical knowledge about food poisoning and microbiological risks, and have developed their knowledge and skills by various educational activities, poisoning cases can be controlled and repetition can be avoided. Also contributions can be made to the solution of forensic cases. In this study, the aim is to inform the health care employees in emergency services primarily but also other health care employees about pathogenic bacteria that may cause food poisoning; to provide general advice about approaches to food poisoning cases and to raise the consciousness about the obligation of informing forensic authorities of incidents of food poisoning. © 2014, Marmara University. All rights reserved

N-[3,5-Bis(trifluoromethyl)phenyl]salicylaldimine

The title compound, C15H9F6NO, is non-planar with a dihedral angle between the two aromatic rings of 29.57 (2)°. The central N=C bond distance of 1.276 (4) Å is typical for a double bond. There are intramolecular O-H···N and weak intermolecular C-H···F hydrogen bonds. © 2003 International Union of Crystallography Printed in Great Britain - all rights reserved

UNILATERAL HYDROCEPHALUS RESULTING FROM OCCLUSION OF FORAMEN OF MONRO - A NEW PROCEDURE IN THE TREATMENT - STEREOTAXIC FENESTRATION OF THE SEPTUM-PELLUCIDUM

WOS: A1993KU28300007PubMed ID: 8351622Obstruction at the foramen of Monro resulting in unilateral hydrocephalus is an uncommon entity that may be caused by a wide range of lesions including tumors, vascular malformations, and inflammatory conditions. A case of unilateral hydrocephalus secondary to congenital atresia of the foramen of Monro treated with stereotactic fenestration of the septum pellucidum is presented

N-[3,5-Bis(trifluoromethyl)phenyl]-3-methoxysalicylaldimine

In the title compound, C16H11NO2F 6, the two aromatic rings are somewhat twisted with respect to each other, forming a dihedral angle of 35.12 (4)°. The N=C bond distance of 1.287 (5) A° is typical for a double bond. In the crystal structure, the molecules are linked by intramolecular O-H?N and intermolecular C-H?F hydrogen bonds. © 2003 International Union of Crystallography Printed in Great Britain - all rights reserved

Traumatic giant aneurysm of the intracavernous internal carotid artery causing fatal epistaxis: Case report

PubMedID: 8158721A patient with a giant intracavernous carotid aneurysm usually has symptoms and signs of a space-occupying lesion, producing one of a variety of types of cavernous sinus syndromes. Epistaxis is an unusual feature in these patients. A patient who noted the onset of repeated arterial epistaxis 2 years after a severe head injury was found to have a traumatic aneurysm of the cavernous portion of internal carotid artery. After angiography, he suddenly developed profuse, pulsatile, arterial epistaxis and had a cardiopulmonary arrest. This case and a review of previously reported cases emphasize the importance of early cerebral angiography in patients with posttraumatic recurrent epistaxis. © 1994 by Williams & Wilkins