Results 91 to 100 of about 297 (183)

Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

Forum of Mathematics, Sigma
In this paper, we introduce the notion of post-Hopf algebroids, generalizing the pre-Hopf algebroids introduced in [8] in the study of exotic aromatic S-series. We construct action post-Hopf algebroids through actions of post-Hopf algebras.
Adrien Busnot Laurent, Yunnan Li, Yunhe Sheng   +2 more
doaj   +1 more source

Transfer for Hopf Algebras

Journal of Algebra, 1996
A transfer for the cohomology of finite groups has played an important role in cohomology calculations. Since the group algebra has the structure of a Hopf algebra, a natural question is whether there exists a transfer for other kinds of Hopf algebras.
openaire   +1 more source

Cohomology of Hopf C^* -Algebras and Hopf Von Neumann Algebras [PDF]

Proceedings of the London Mathematical Society, 2001
In this article, we will define two canonical cohomology theories for Hopf $C^*$-algebras and for Hopf von Neumann algebras (with coefficients in their bicomodules). We will then study the situations when these cohomologies vanish. The cases of locally compact groups and compact quantum groups will be considered in more details.
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Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

Journal of High Energy Physics
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading ...
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski   +2 more
doaj   +1 more source

Cat weak Hopf algebras(Cat弱Hopf代数)

Zhejiang Daxue xuebao. Lixue ban, 2017
首先引入pre-cat弱Hopf代数和cat弱Hopf代数来刻画具有投射的弱Hopf代数的性质，并建立pre-cat弱Hopf代数的张量范畴，证明了pre-cat弱Hopf代数是cat弱Hopf代数的充要条件，从而推广了LODAY引入的cat-群和cat Hopf代数的相应结论.
CHENXiaoyuan(陈笑缘)
doaj   +1 more source

Hopf algebra extensions of monogenic Hopf algebras

Journal of Pure and Applied Algebra, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Posets and Hopf Algebras

Advances in Mathematics, 1996
Given the collection of types \(\overline{P}\) of finite posets \(P\) with elements \(\widehat{0}\) and \(\widehat{1}\), the linear space \(I\) over a field \(K\) whose basis is the set of types is in a natural way an algebra, if \(\overline{P}\otimes\overline{Q}=\overline{P\otimes Q}\), where \(P\otimes Q\) is the product poset, extended linearly. If \
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Simulating the Hadamard gate in the Fibonacci disk code for universal topological quantum computation. [PDF]

Innovation (Camb), 2023
Wu YS.
europepmc   +1 more source

Hopf Algebras of Graphs

, 2004
We define graded Hopf algebras with bases labeled by various types of graphs and hypergraphs, provided with natural embeddings into an algebra of polynomials in infinitely many variables. These algebras are graded by the number of edges and can be considered as generalizations of symmetric or quasi-symmetric functions.
Novelli, Jean-Christophe, Thibon, Jean-Yves, Thiéry, Nicolas M.   +2 more
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Twist Quantization of String and Hopf Algebraic Symmetry

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We describe the twist quantization of string worldsheet theory, which unifies the description of quantization and the target space symmetry, based on the twisting of Hopf and module algebras.
Tsuguhiko Asakawa, Satoshi Watamura
doaj   +1 more source