Категорія дерев Вілєнкіна−Кузнєцова−Смородінського−Смірнова
First, we briefly review the definitions and the basic properties of operads and trees. There are many useful types of operads, and each type is determined by the choice of two categories: basic symmetric monoidal category (C, □), which supports the classical linear operads, and a category of graphs...
Збережено в:
| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Publishing house "Academperiodika"
2012
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| Теми: | |
| Онлайн доступ: | https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2021293 |
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| Назва журналу: | Ukrainian Journal of Physics |
Репозитарії
Ukrainian Journal of Physics| Резюме: | First, we briefly review the definitions and the basic properties of operads and trees. There are many useful types of operads, and each type is determined by the choice of two categories: basic symmetric monoidal category (C, □), which supports the classical linear operads, and a category of graphs Γ reflecting the combinatorics of operadic data and axioms. From this viewpoint, the specific operad is a functor Γ → C. Second, our aim is the construction of the category of Vilenkin–Kuznetsov–Smorodinsky–Smirnov (VKSS) trees, which contains VKSS-trees as objects and morphisms generated by a rotation of the n-dimensional space and transforming functions of VKSS-trees. |
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