University of Cambridge > > Algebra and Representation Theory Seminar > Balanced semisimple filtrations for tilting modules

Balanced semisimple filtrations for tilting modules

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Tilting modules form an important class of finite-dimensional representations for reductive groups in positive characteristic. We know very little about the structure of such modules in general, including their characters and especially their Loewy series. In this talk I’ll show how Soergel’s tilting character formula for quantum tilting modules leads to a remarkably straightforward algorithm for calculating tilting characters by finding a particularly nice Loewy series called a balanced semisimple filtration.

This talk is part of the Algebra and Representation Theory Seminar series.

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