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Tracelet Hopf algebras and decomposition spaces

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 نشر من قبل Nicolas Behr
 تاريخ النشر 2021
  مجال البحث الهندسة المعلوماتية
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 تأليف Nicolas Behr




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Tracelets are the intrinsic carriers of causal information in categorical rewriting systems. In this work, we assemble tracelets into a symmetric monoidal decomposition space, inducing a cocommutative Hopf algebra of tracelets. This Hopf algebra captures important combinatorial and algebraic aspects of rewriting theory, and is motivated by applications of its representation theory to stochastic rewriting systems such as chemical reaction networks.

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