Results 101 to 110 of about 133 (132)

Schrodinger representations of Drinfel'd doubles of Hopf algebras from the viewpoint of tensor Morita invariants (Hopf algebras and quantum groups : their possible applications)

Schrodinger representations of Drinfel'd doubles of Hopf algebras from the viewpoint of tensor Morita invariants (Hopf algebras and quantum groups : their possible applications)
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Classical Hopf Algebras and Their Applications

Algebra and Applications, 2021
Frédéric Patras, Pierre Cartier
exaly   +2 more sources

Integrals for monoidal Hom-Hopf algebras and their applications

Journal of Mathematical Physics, 2013
Integrals of monoidal Hom-Hopf algebras are introduced and the existence and uniqueness of integrals for finite-dimensional monoidal Hom-Hopf algebras are investigated first. Then integrals are applied to the Maschke type theorem for monoidal Hom-Hopf algebras controlling the semisimplicity and separability of monoidal Hom-Hopf algebras.
Chen, Yuanyuan, Wang, Zhongwei, Zhang, Liangyun   +2 more
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External Homogenization for Hopf Algebras: Applications to Maschke's Theorem

Algebras and Representation Theory, 1999
Let \(H\) be a Hopf algebra and \(A\) a right \(H\)-comodule algebra. The authors construct a right \(H\)-comodule algebra structure on \(A\otimes H\), denoted by \(A[H]\), generalizing the construction of the group ring of a graded ring due to \textit{C. Năstăsescu} [J. Pure Appl. Algebra 33, 313-335 (1984; Zbl 0542.16003)].
Nuastuasescu, Constantin, Panaite, Florin, Van Oystaeyen, Freddy   +2 more
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Products of Linear Maps on Bialgebras, with Applications to Left Hopf Algebras and Hopf Algebroids

Communications in Algebra, 2006
The Doi–Koppinen generalized smash product can be applied to linear maps on bialgebras, and we define a new associative product for linear maps on bialgebras. We comment on the applications of these products to left Hopf algebras and Hopf algebroids.
E. J. Beggs, E. J. Taft
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Applications of Hopf Algebras

2015
In this chapter we present three diverse applications of Hopf algebras. Our first application involves almost cocommutative bialgebras and quasitriangular bialgebras. We show that a quastitriangular bialgebra determines a solution to the Quantum Yang–Baxter Equation, and we give details on how to compute quastitriangular structures for certain two ...
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Voiculescu amenable Hopf von Neumann algebras with applications

Journal of Algebra and Its Applications, 2016
For a Hopf von Neumann algebra [Formula: see text], we give a fixed point characterization of Voiculescu amenability of [Formula: see text] in terms of modules over [Formula: see text]. As a consequence, we present some descriptions for amenability of locally compact groups in terms of certain associated Hopf von Neumann algebras.
Akhtari, Fatemeh, Nasr-Isfahani, Rasoul
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A Faà di Bruno Hopf algebra for a group of Fliess operators with applications to feedback

Systems & Control Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
W. Steven Gray, Luis Augusto Duffaut Espinosa   +1 more
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Symmetry phenomenon on quasitriangular Hopf algebras and its applications

Journal of Algebra and Its Applications
Let [Formula: see text] be a Hopf algebra. The concept of a symmetric universal [Formula: see text]-matrix of [Formula: see text] is introduced (see Definition 2.1). Subsequently, we prove that symmetry phenomenon exists on some well-known quasitriangular Hopf algebras, including some infinite families of small quantum groups. Through an examination of
Naihong Hu, Gongxiang Liu, Kun Zhou
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ON BI-/HOPF ALGEBRAS AND THEIR APPLICATIONS TO RENORMALIZATION PROBLEMS AND OPERADIC ALGEBRAS

In this thesis, we develop an algebraic framework for colored, colored connected, semi-grouplike-flavored, and pathlike co-/bi-/Hopf algebras, which are essential in combinatorics, topology, number theory, and physics. Moreover, we introduce and explore simply colored comonoid, which generalises the notion of colored conilpotent coalgebra.
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