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In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras. Verlinde's formula arose from physical considerations, but it attracted further attention from mathematicians when it was realized that the space of conformal blocks admits an interpretation as the space of generalized theta functions. A proof followed through the work of many mathematicians in the 1990s. This book gives an authoritative treatment of all aspects of this theory. It presents a complete proof of the Verlinde formula and full details of the connection with generalized theta functions, including the construction of the relevant moduli spaces and stacks of G-bundles. Featuring numerous exercises of varying difficulty, guides to the wider literature and short appendices on essential concepts, it will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical p

The current global economic downturn and considerable shifting in industrial and manufacturing activities have disturbed the homeostasis of the industrial order. Many issues have to be examined in new

Safety or comfort? Can you truly have one without the other? Is it feasible to have both? Although by no means the only factor, a deep understanding of biomechanics plays a leading role in the design

Despite the apparently distinct differences between the disciplines of ergonomics and rehabilitation, they deal with the same issues, although at different ends of the spectrum. Keeping this in mind,

"This book provides knowledge about HR analytics by touching upon its four types- Descriptive, Diagnostic, Predictive and Prescriptive. It explores how prescriptive HR analytics is a useful technique

Engineering, business, and other researchers from the Middle East, Asia, Europe, and Latin America present 20 chapters on the use of intelligent techniques and modeling applications in marketing a

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For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fie