منابع مشابه
Operads within Monoidal Pseudo Algebras
A general notion of operad is given, which includes: (1) the operads that arose in algebraic topology in the 1970’s to characterise loop spaces. (2) the higher operads of Michael Batanin [Bat98]. (3) braided and symmetric analogues of Batanin’s operads which are likely to be important in the study of weakly symmetric higher dimensional monoidal categories. The framework of this paper, links tog...
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We give conditions on a monoidal model category M and on a set of maps C so that the Bousfield localization of M with respect to C preserves the structure of algebras over various operads. This problem was motivated by an example due to Mike Hill which demonstrates that for the model category of equivariant spectra, preservation does not come for free, even for cofibrant operads. We discuss thi...
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Two Hopf algebras are called monoidally Morita equivalent if module categories over them are equivalent as linear monoidal categories. We introduce monoidal Morita invariants for finite-dimensional Hopf algebras based on certain braid group representations arising from the Drinfeld double construction. As an application, we show, for any integer n, the number of elements of order n is a monoida...
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We show that the (co)endomorphism algebra of a sufficiently separable “fibre” functor into Vectk, for k a field of characteristic 0, has the structure of what we call a “unital” von Neumann core in Vectk. For Vectk, this particular notion of algebra is weaker than that of a Hopf algebra, although the corresponding concept in Set is again that of a group.
متن کاملHopf algebras, tetramodules, and n-fold monoidal categories
This paper is an extended version of my talk given in Zürich during the Conference “Quantization and Geometry”, March 2-6, 2009. The main results are the following. 1. We construct a 2-fold monoidal structure [BFSV] on the category Tetra(A) of tetramodules (also known as Hopf bimodules) over an associative bialgebraA. According to an earlier result of R.Taillefer [Tai1,2], Ext q Tetra(A)(A,A) i...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2011
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2010.490800