Simplicity of Augmentation Submodules for Transformation Monoids

For finite permutation groups, simplicity of the augmentation submodule is equivalent to 2-transitivity over the field of complex numbers. We note that this is not the case for transformation monoids. We characterize the finite transformation monoids whose augmentation submodules are simple for a fi...

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Veröffentlicht in:	Algebras and representation theory 2021-08, Vol.24 (4), p.1029-1051
Hauptverfasser:	Shahzamanian, M. H., Steinberg, B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Associative Rings and Algebras Augmentation Commutative Rings and Algebras Complex numbers Mathematics Mathematics and Statistics Monoids Non-associative Rings and Algebras Permutations Set theory Transformations
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