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Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.
This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.
THE FIRST BOOK IN BEN KANE'S EPIC RICHARD THE LIONHEART SERIES - HISTORICAL FICTION WRITING AT ITS FINEST 'A rip-roaring epic, filled with arrows and spattered with blood' Paul Finch 1179. Henry II is King of England, Wales, Ireland, Normandy, Brittany and Aquitaine. The House of Plantagenet reigns supreme. But there is unrest in Henry's house. Not for the first time, his family talks of rebellion. Ferdia - an Irish nobleman taken captive during the conquest of his homeland - saves the life of Richard, the king's son. In reward for his bravery, he is made squire to Richard, who is already a renowned warrior. Crossing the English Channel, the two are plunged into a campaign to crush rebels in Aquitaine. The bloody battles and gruelling sieges which followed would earn Richard the legendary name of Lionheart. But Richard's older brother, Henry, is infuriated by his sibling's newfound fame. Soon it becomes clear that the biggest threat to Richard's life may not be rebel or French armies, but his own family... 'Ben's deeply authoritative depiction of the time is delivered in a deft manner.' Simon Scarrow
Reflection groups and invariant theory is a branch of mathematics that lies at the intersection between geometry and algebra. The book contains a deep and elegant theory, evolved from various graduate courses given by the author over the past 10 years.
Proceedings of a Conference held at the University of Western Ontario in 1981. More than one hundred papers were presented by researchers from a wide spectrum of countries and institutions.
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