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On character sheaves and characters of reductive groups at unipotent classes

On character sheaves and characters of reductive groups at unipotent classes

With a view to determining character values of finite reductive groups at unipotent elements, we prove a number of results concerning inner products of generalised Gelfand-Graev characters with characteristic functions of character sheaves, here called Lusztig functions.These are used to determine projections of generalised Gelfand-Graev characters to the space of …