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In this paper, we prove that both the seminilpotent and the fully nilpotent cohomological Hall algebras (CoHAs) of A2 are commutative. This result is in strong contrast with the CoHA of A2 without nilpotency conditions, ...
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We determine the structure of the BPS algebra of 2-Calabi-Yau Abelian categories for which the stack of objects admits a good moduli space. We prove that this algebra is isomorphic to the positive part of the enveloping ...