A unitary reflection is a linear transformation of a complex vector space that fixes each point in a hyperplane. Intuitively, it resembles the transformation an image undergoes when it is viewed through a kaleidoscope, or an arrangement of mirrors. This book gives a complete classification of all finite groups which are generated by unitary reflections, using the method of line systems. Irreducible groups are studied in detail, and are identified with finite linear groups. The new invariant theoretic proof of Steinberg's fixed point theorem is treated fully. The same approach is used to develop the theory of eigenspaces of elements of reflection groups and their twisted analogues. This includes an extension of Springer's theory of regular elements to reflection cosets. An appendix outlines links to representation theory, topology and mathematical physics. Containing over 100 exercises, ranging in difficulty from elementary to research level, this book is ideal for honours and graduate students, or for researchers in algebra, topology and mathematical physics. Book jacket.
Here is a thorough treatment of every important aspect of minority affairs during the Truman administration. The authors trace the significant developments in the quest for minority rights from 1945 to 1953, show the interrelatedness to the struggle waged by America’s racial minorities, and assess the role of the Truman administration in that struggle. The quest of minority peoples for civil rights was a scattered, meager movement until the beginning of the Second World War. Minority group members were segregated, intimidated, poverty-ridden, and undernourished, and their struggle suffered from these weaknesses. This situation changed to an unprecedented extent during the years between 1945 and 1953. Under President Harry S. Truman, the executive branch of the federal government listened to minority groups as never before and often responded to their entreaties and pressures. Civil-rights victories were won in the courts. Educational levels rose and employment opportunities increased. Legal segregation began to crumble, and the campaign for better housing inched forward. Alliances were forged among racial minorities, Jews, organized labor, and political and religious liberals. Sizable elements among the minority group ranks developed a modicum of economic power and political influence for the first time during the Truman administration. This rudimentary power was among the bases for civil-rights and racial developments after 1953. Although the civil-rights story of the Truman administration is one relating mainly to blacks, this study deals with other minority groups, including Indians, Mexican-Americans, Puerto Ricans, Japanese- and Chinese-Americans, and Jews. Based on extensive research in primary source materials, it is a balanced, in-depth analysis of the power of minorities in eliciting change. It is a valuable addition to the study of social as well as political history.
Psychometrics and Psychological Assessment: Principles and Applications reports on contemporary perspectives and models on psychological assessment and their corresponding measures. It highlights topics relevant to clinical and neuropsychological domains, including cognitive abilities, adaptive behavior, temperament, and psychopathology.Moreover, the book examines a series of standard as well as novel methods and instruments, along with their psychometric properties, recent meta-analytic studies, and their cross-cultural applications. - Discusses psychometric issues and empirical studies that speak to same - Explores the family context in relation to children's behavioral outcomes - Features major personality measures as well as their cross cultural variations - Identifies the importance of coping and resilience in assessing personality and psychopathology - Examines precursors of aggression and violence for prediction and prevention
Few units in the U.S. Army can boast as proud a unit history as the Third Infantry Division; it fought on all of the Europe and North African fronts that American soldiers were engaged against the Axis forces during World War II. The 3rd Infantry Division saw combat in North Africa, Sicily, Italy, France, Germany and Austria for 531 consecutive days. In this official division history written by the officers who served with the unit at the time serves as a fascinating memorial and a detailed history of the “Marne Division” during World War II. The 3rd Inf. Division made landfall in Fedala on the 8th November 1942 as part of Operation Torch during the Allied invasion of North Africa and was engaged in heavy fighting before the German and Italian troops were finally levered out of the continent. The division was back in the thick of the fighting in Sicily under the command of such famous leaders as Generals Lucien Truscott, Omar Bradley and George S. Patton. As part of General Mark Clark’s U.S. Fifth army it engaged in some of the bloodiest engagements of the Italian campaign at Salerno beaches, Volturno river, Monte Cassino and Anzio. Under their old division commander General Truscott they formed part of the force that landed in Southern France and battled into the heart of Germany before the eventual capitulation of the Nazi High command in 1945. Richly illustrated with maps and pictures throughout.
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