Every indecomposable trivial source module in a block with a cyclic defect group is explicitly parametrized by a path, direction, and multiplicity on the Brauer tree.
Bessenrodt, Modular representation theory for blocks with cyclic defect groups via the A uslander- R eiten quiver , J
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The classification of the trivial source modules in blocks with cyclic defect groups
Every indecomposable trivial source module in a block with a cyclic defect group is explicitly parametrized by a path, direction, and multiplicity on the Brauer tree.