Laurence Barker

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20182023

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math.RT2018

A new canonical induction formula for $p$ -permutation modules

Laurence Barker, Hatice Mutlu

Applying Robert Boltje's theory of canonical induction, we give a restriction-preserving formula expressing any $p$ -permutation module as a $Z [1/ p]$ -linear combination of…

math.RT2018

An inversion formula for the primitive idempotents of the trivial source algebra

Laurence Barker

Formulas for the primitive idempotents of the trivial source algebra, in characteristic zero, have been given by Boltje and Bouc--Thévenaz. We shall give another formula for those…

math.RT2018

Genotypes of irreducible representations of finite p-groups

Laurence Barker

For any characteristic zero coefficient field, an irreducible representation of a finite $p$ -group can be assigned a Roquette $p$ -group, called the genotype. This has already been…

A new canonical induction formula for p-permutation modules

An inversion formula for the primitive idempotents of the trivial source algebra

Genotypes of irreducible representations of finite p-groups

A new canonical induction formula for $p$ -permutation modules