The authors prove the converse implication of the Deligne-Simpson conjecture, confirming that solutions exist precisely when an associated root system meets a stated combinatorial condition.
Lenzing, Representations of finite-dimensional algebras and singularity the- ory, in: Trends in ring theory (Miskolc, 1996), 71–97, Canadian Math
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The Deligne-Simpson Problem
The authors prove the converse implication of the Deligne-Simpson conjecture, confirming that solutions exist precisely when an associated root system meets a stated combinatorial condition.