Linear Algebraic Groups without the Normalizer Theorem

2007/08/14 by Allcock, Daniel
#14GXX #20GXX #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.0708.1969

Abstract

One can develop the basic structure theory of linear algebraic groups (the root system, Bruhat decomposition, etc.) in a way that bypasses several major steps in the standard development, including the self-normalizing property of Borel subgroups.

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