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David Denoncin

Publications and source records attributed to David Denoncin.

2 recordsLinked to original sources

Stable basic sets for finite special linear and unitary group

In this paper we show, using Deligne-Lusztig theory and Kawanaka's theory of generalised Gelfand-Graev representations, that the decomposition matrix of the special linear and unitary group in non defining characteristic can be made unitriangular with respect to a basic set that is stable under the action of automorphisms.

math.RT

Inductive AM condition for the alternating groups in characteristic 2

We prove that the inductive AM condition introduced by Britta Späth is true for the simple alternating groups in characteristic 2. To achieve this we give an equivalent of a well known result on blocks of the symmetric groups with the same weight to 2-blocks of double cover of alternating groups.

math.RT