Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning
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.
Originalsprog | Engelsk |
---|---|
Titel | Proceedings of the Fourth International Conference on Applied Category Theory |
Redaktører | Kohei Kishida |
Forlag | arXiv preprint |
Publikationsdato | 2022 |
Sider | 323-337 |
DOI | |
Status | Udgivet - 2022 |
Eksternt udgivet | Ja |
Begivenhed | 4th International Conference on Applied Category Theory - Cambridge Varighed: 12 jul. 2021 → 16 jul. 2021 |
Konference
Konference | 4th International Conference on Applied Category Theory |
---|---|
Lokation | Cambridge |
Periode | 12/07/2021 → 16/07/2021 |
Navn | Electronic Proceedings in Theoretical Computer Science |
---|---|
Vol/bind | 372 |
ISSN | 2075-2180 |
ID: 337735146