TAILIEUCHUNG - Buildings and Classical Groups

This book describes the structure of the classical groups, meaning general linear groups, sympletics groups, and orthogonal groups, both over general is a systematic development of the theory of building and BN- pairs, both spherical and affine , white the other half is ilustrations by and applications the classical groups. | Buildings and Classical Groups 1995 Paul Garrett garrett@ Typeset with AMS-LaTeX Garrett Introduction the classical groups group building-theoretic algebraic representation theory the mechanism by which a suitable action of a group upon a building illuminates the group structure is a fundamental thing itself. Groupes Reductifs sur un Corps Local I Donnees radicielles valuees Groupes Reductifs sur un Corps Local II Schemas en groups existence d une donnee radicielle valuee ibid Garrett Groupes Reductifs sur un Corps Local III Complements et applications a la cohomologie galoisienne Schemas en groupes et immeubles des groupes clas-siques sur un corps local Reflection Groups and Coxeter Groups Buildings Lectures on Buildings Maximal compact subgroups of some p-adic classical groups On arithmetic of p-adic Steinberg groups On the structure of semi-simple algebraic groups over valuation fields I Having made these acknowledgements I will simply try to tell a coherent .

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