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Shravan Kumar
None
Shravan Kumar
None
Kac-Moody Groups, their Flag Varieties and Representation Theory
Kac-Moody Lie algebras 9 were introduced in the mid-1960s independently by V. Kac and R. Moody, generalizing the finite-dimensional semisimple Lie alge bras which we refer to as the finite case. The theory has undergone tremendous developments in various directions and connections with diverse areas abound, including mathematical physics, so much so that this theory has become a stan dard tool in mathematics. A detailed treatment of the Lie algebra aspect of the theory can be found in V. Kac's book [Kac-90l This self-contained work treats the algebro-geometric and the topological aspects of Kac-Moody theory from scratch. The emphasis is on the study of the Kac-Moody groups 9 and their flag varieties XY, including their detailed construction, and their applications to the representation theory of g. In the finite case, 9 is nothing but a semisimple Y simply-connected algebraic group and X is the flag variety 9 /Py for a parabolic subgroup p y C g.
Conformal Blocks, Generalized Theta Functions and the Verlinde Formula
This book gives a complete proof of the Verlinde formula and of its connection to generalized theta functions.
Saga of Fantasies
None
Frobenius Splitting Methods in Geometry and Representation Theory
Systematically develops the theory of Frobenius splittings and covers all its major developments. Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research.
Mind Matters: A Psychiatrist's Narrations
This book is narration by a psychiatrist. The purpose of this book is to provide education, information and knowledge about mental health and prevention of psychological illnesses. For this reason, Dr Shrivastava, a long time psychiatrist, has compiled stories of problems faced by patients and treatments they received with frank discussion and academic facts. One out of five people in our society suffer from a mental disorder. The experience of psychological illness disconnects them from their own selves. Though it is a treatable condition, patients seldom receive treatment. One of the main barriers is the stigma which is a clinical risk factor. We are unable to deal with stigma because people do not speak up about their experiences. We are unable to project examples of successful treatment. This limitation increases stigma.
Human Work Productivity
The current global economic downturn and considerable shifting in industrial and manufacturing activities have disturbed the industrial order. However, human work productivity is still one of the most important components of the industrial economy and a determining factor in global competiveness and influence as well as the potential for technologi
