The operad of Latin hypercubes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916881007378432 |
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| author | Linckelmann, Markus |
| author_facet | Linckelmann, Markus |
| contents | We show that the sets of $d$-dimensional Latin hypercubes over a non-empty set $X$, with $d$ running over the positive integers, determine an operad which is isomorphic to a sub-operad of the endomorphism operad of $X$. We generalise this to categories with finite products, and then further to internal versions for certain Cartesian closed monoidal categories with pullbacks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19077 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The operad of Latin hypercubes Linckelmann, Markus Combinatorics Algebraic Topology Representation Theory We show that the sets of $d$-dimensional Latin hypercubes over a non-empty set $X$, with $d$ running over the positive integers, determine an operad which is isomorphic to a sub-operad of the endomorphism operad of $X$. We generalise this to categories with finite products, and then further to internal versions for certain Cartesian closed monoidal categories with pullbacks. |
| title | The operad of Latin hypercubes |
| topic | Combinatorics Algebraic Topology Representation Theory |
| url | https://arxiv.org/abs/2402.19077 |