Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Eric Hoffbeck"'
Publikováno v:
International Mathematics Research Notices. 2021:3866-3926
In this paper, we initiate the generalisation of the operadic calculus which governs the properties of homotopy algebras to a properadic calculus which governs the properties of homotopy gebras over a properad. In this first article of a series, we g
Publikováno v:
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2021, 374 (11), pp.8249-8273. ⟨10.1090/tran/8482⟩
Transactions of the American Mathematical Society, 2021
Transactions of the American Mathematical Society, 2021, 374 (11), pp.8249-8273. ⟨10.1090/tran/8482⟩
Transactions of the American Mathematical Society, 2021
In 2007, Vallette built a bridge across posets and operads by proving that an operad is Koszul if and only if the associated partition posets are Cohen-Macaulay. Both notions of being Koszul and being Cohen-Macaulay admit different refinements: our g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47a7acb50a11ad93822f1fa06224a368
https://hal.science/hal-01937173v3/document
https://hal.science/hal-01937173v3/document
Autor:
Eric Hoffbeck
Publikováno v:
Algebraic & Geometric Topology. 10:1781-1806
The purpose of this paper is to study generalizations of Gamma-homology in the context of operads. Good homology theories are associated to operads under appropriate cofibrancy hypotheses, but this requirement is not satisfied by usual operads outsid
Autor:
Eric Hoffbeck, Christine Vespa
Publikováno v:
Journal of Pure and Applied Algebra
Journal of Pure and Applied Algebra, Elsevier, 2015
Journal of Pure and Applied Algebra, Elsevier, 2015
We prove that Leibniz homology of Lie algebras can be described as functor homology in the category of linear functors from a category associated to the Lie operad.
Comment: 26 pages
Comment: 26 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4620e44f7e9212cbe02bf2fc7513cdc
https://hal.archives-ouvertes.fr/hal-00935599v2/document
https://hal.archives-ouvertes.fr/hal-00935599v2/document
Publikováno v:
Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, 2019, 293 (1-2), pp.113-179. ⟨10.1007/s00209-018-2185-z⟩
Mathematische Zeitschrift, 2019, 293 (1-2), pp.113-179. ⟨10.1007/s00209-018-2185-z⟩
Mathematische Zeitschrift, Springer, 2019, 293 (1-2), pp.113-179. ⟨10.1007/s00209-018-2185-z⟩
Mathematische Zeitschrift, 2019, 293 (1-2), pp.113-179. ⟨10.1007/s00209-018-2185-z⟩
Several constructive homological methods based on noncommutative Gr\"obner bases are known to compute free resolutions of associative algebras. In particular, these methods relate the Koszul property for an associative algebra to the existence of a q
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6924162356ff1a76f3112619151697c6
http://arxiv.org/abs/1406.0815
http://arxiv.org/abs/1406.0815
Publikováno v:
HAL
3rd International Workshop on Confluence
3rd International Workshop on Confluence, Jul 2014, Vienna, Austria
3rd International Workshop on Confluence
3rd International Workshop on Confluence, Jul 2014, Vienna, Austria
International audience; We introduce the notion of higher dimensional linear rewriting systems for presentations of algebras, generalizing the notion of non-commutative Gröbner bases. We show how to use this notion to compute homological invariants
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::7bd2fb255fc51cfd45e223757e16f9b8
https://hal.archives-ouvertes.fr/hal-01105087
https://hal.archives-ouvertes.fr/hal-01105087
Autor:
Eric Hoffbeck
The goal of this paper is to set up an obstruction theory in the context of algebras over an operad and in the framework of differential graded modules over a field. Precisely, the problem we consider is the following: Suppose given two algebras A an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81b4bf9595b0cd985e77dc08bff1ddb2
http://arxiv.org/abs/1011.0265
http://arxiv.org/abs/1011.0265
Autor:
Eric Hoffbeck
Publikováno v:
Manuscripta Mathematica; Jan2010, Vol. 131 Issue 1/2, p87-110, 24p