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Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract). / Behr, Nicolas; Kock, Joachim.
Proceedings of the Fourth International Conference on Applied Category Theory. ed. / Kohei Kishida. arXiv preprint, 2022. p. 323-337 (Electronic Proceedings in Theoretical Computer Science, Vol. 372).
Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research
Harvard
Behr, N
& Kock, J 2022,
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract). in K Kishida (ed.),
Proceedings of the Fourth International Conference on Applied Category Theory. arXiv preprint, Electronic Proceedings in Theoretical Computer Science, vol. 372, pp. 323-337, 4th International Conference on Applied Category Theory,
12/07/2021.
https://doi.org/10.4204/EPTCS.372.23,
https://doi.org/10.4204/EPTCS.372APA
Behr, N.
, & Kock, J. (2022).
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract). In K. Kishida (Ed.),
Proceedings of the Fourth International Conference on Applied Category Theory (pp. 323-337). arXiv preprint. Electronic Proceedings in Theoretical Computer Science Vol. 372
https://doi.org/10.4204/EPTCS.372.23,
https://doi.org/10.4204/EPTCS.372Vancouver
Behr N
, Kock J.
Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract). In Kishida K, editor, Proceedings of the Fourth International Conference on Applied Category Theory. arXiv preprint. 2022. p. 323-337. (Electronic Proceedings in Theoretical Computer Science, Vol. 372).
https://doi.org/10.4204/EPTCS.372.23,
https://doi.org/10.4204/EPTCS.372Author
Behr, Nicolas ; Kock, Joachim. / Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract). Proceedings of the Fourth International Conference on Applied Category Theory. editor / Kohei Kishida. arXiv preprint, 2022. pp. 323-337 (Electronic Proceedings in Theoretical Computer Science, Vol. 372).
Bibtex
@inproceedings{933e8e098a8441e19a610845f34a68eb,
title = "Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)",
abstract = "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.",
author = "Nicolas Behr and Joachim Kock",
year = "2022",
doi = "10.4204/EPTCS.372.23",
language = "English",
series = "Electronic Proceedings in Theoretical Computer Science",
publisher = "arXiv preprint",
pages = "323--337",
editor = "Kishida, {Kohei }",
booktitle = "Proceedings of the Fourth International Conference on Applied Category Theory",
note = "4th International Conference on Applied Category Theory, ACT2021 ; Conference date: 12-07-2021 Through 16-07-2021",
}
RIS
TY - GEN
T1 - Tracelet Hopf Algebras and Decomposition Spaces (Extended Abstract)
AU - Behr, Nicolas
AU - Kock, Joachim
PY - 2022
Y1 - 2022
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.
U2 - 10.4204/EPTCS.372.23
DO - 10.4204/EPTCS.372.23
M3 - Article in proceedings
T3 - Electronic Proceedings in Theoretical Computer Science
SP - 323
EP - 337
BT - Proceedings of the Fourth International Conference on Applied Category Theory
A2 - Kishida, Kohei
PB - arXiv preprint
T2 - 4th International Conference on Applied Category Theory
Y2 - 12 July 2021 through 16 July 2021
ER -
