Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research
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.
Original language | English |
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Title of host publication | Proceedings of the Fourth International Conference on Applied Category Theory |
Editors | Kohei Kishida |
Publisher | arXiv preprint |
Publication date | 2022 |
Pages | 323-337 |
DOIs | |
Publication status | Published - 2022 |
Externally published | Yes |
Event | 4th International Conference on Applied Category Theory - Cambridge Duration: 12 Jul 2021 → 16 Jul 2021 |
Conference
Conference | 4th International Conference on Applied Category Theory |
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Location | Cambridge |
Periode | 12/07/2021 → 16/07/2021 |
Series | Electronic Proceedings in Theoretical Computer Science |
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Volume | 372 |
ISSN | 2075-2180 |
ID: 337735146