Tracelet Hopf代数与分解空间（扩展摘要）
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
摘要：
语篇是范畴重写系统中因果信息的内在载体。在这项工作中，我们组装到一个对称的monoidal分解空间，诱导一个余交换的Hopf代数的跟踪。这个霍普夫代数捕获重要的组合和代数方面的重写理论，其代表性理论的应用，如化学反应网络的随机重写系统的动机。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
