منابع مشابه
Yetter-drinfeld Modules over Weak Bialgebras
We discuss properties of Yetter-Drinfeld modules over weak bialgebras over commutative rings. The categories of left-left, left-right, right-left and right-right Yetter-Drinfeld modules over a weak Hopf algebra are isomorphic as braided monoidal categories. Yetter-Drinfeld modules can be viewed as weak Doi-Hopf modules, and, a fortiori, as weak entwined modules. If H is finitely generated and p...
متن کاملLax Bialgebras and Up-To Techniques for Weak Bisimulations
Up-to techniques are useful tools for optimising proofs of behavioural equivalence of processes. Bisimulations up-to context can be safely used in any language specified by GSOS rules. We showed this result in a previous paper by exploiting the well-known observation by Turi and Plotkin that such languages form bialgebras. In this paper, we prove the soundness of up-to contextual closure for we...
متن کاملGraphical Methods for Tannaka Duality of Weak Bialgebras and Weak Hopf Algebras
Tannaka duality describes the relationship between algebraic objects in a given category and functors into that category; an important case is that of Hopf algebras and their categories of representations; these have strong monoidal forgetful “fibre functors” to the category of vector spaces. We simultaneously generalize the theory of Tannaka duality in two ways: first, we replace Hopf algebras...
متن کاملPoisson bialgebras
Related Articles Representations of some quantum tori Lie subalgebras J. Math. Phys. 54, 032302 (2013) The Poincaré algebra in rank 3 simple Lie algebras J. Math. Phys. 54, 023508 (2013) Relativistic Chasles' theorem and the conjugacy classes of the inhomogeneous Lorentz group J. Math. Phys. 54, 022501 (2013) Localization in abelian Chern-Simons theory J. Math. Phys. 54, 023507 (2013) Symmetry ...
متن کاملShuffle Bialgebras
The goal of our work is to study the spaces of primitive elements of the Hopf algebras associated to the permutahedra and the associahedra. We introduce the notion of shuffle bialgebras, and compute the subpaces of primitive elements associated to these algebras. These spaces of primitive elements have natural structure of some type of algebras which we describe in terms of generators and relat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2015
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/6308