TY - JOUR
T1 - Tracelet Hopf Algebras and Decomposition spaces (Extended Abstract)
AU - Behr, Nicolas
AU - Kock, Joachim
N1 - Funding Information:
Supported by grants MTM2016-80439-P (AEI/FEDER, UE) of Spain and 2017-SGR-1725 of Catalonia.
Publisher Copyright:
© N. Behr and J. Kock.
PY - 2022/11/3
Y1 - 2022/11/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85141685354&partnerID=8YFLogxK
U2 - 10.4204/EPTCS.372.23
DO - 10.4204/EPTCS.372.23
M3 - Article
AN - SCOPUS:85141685354
SN - 2075-2180
VL - 372
SP - 323
EP - 337
JO - Electronic Proceedings in Theoretical Computer Science, EPTCS
JF - Electronic Proceedings in Theoretical Computer Science, EPTCS
ER -