Results 1 to 10 of about 14,989 (121)
Symmetry, Integrability and Geometry: Methods and Applications, 2022 We develop an algebraic theory of colored, semigrouplike-flavored and pathlike co-, bi- and Hopf algebras. This is the right framework in which to discuss antipodes for bialgebras naturally appearing in combinatorics, topology, number theory and physics.
Kaufmann, Ralph M., Mo, Yang
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Techniques for Classifying Hopf Algebras and Applications to Dimension p 3 [PDF]
, 2011 Classifying Hopf algebras of a given finite dimension n over ℂ is a challenging problem. If n is p, p2, 2p, or 2p2 with p prime, the classification is complete.
M. Beattie, G. A. García
semanticscholar +1 more source
Holomorphic deformation of Hopf algebras and applications to quantum groups [PDF]
, 1996 In this article we propose a new and so-called holomorphic deformation scheme for locally convex algebras and Hopf algebras. Essentially we regard converging power series expansions of a deformed product on a locally convex algebra, thus giving the means
M. Pflaum, M. Schottenloher
semanticscholar +1 more source
HOPF ALGEBRA ACTIONS ON DIFFERENTIAL GRADED ALGEBRAS AND APPLICATIONS [PDF]
, 2010 Let H be a finite dimensional semisimple Hopf algebra, A a differ- ential graded (dg for short) H-module algebra. Then the smash product algebra A#H is a dg algebra.
Ji-wei He, F. Oystaeyen, Yinhuo Zhang
semanticscholar +1 more source
Forms of Hopf Algebras and Galois Theory [PDF]
, 1990 The theory of Hopf algebras is closely connected with various applications, in particular to algebraic and formal groups. Although the rst occurence of Hopf algebras was in algebraic topology, they are now found in areas as remote as combinatorics and ...
Pareigis, Bodo
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Twist deformations leading to κ-Poincaré Hopf algebra and their application to physics
Journal of Physics: Conference Series, 2016 We consider two twist operators that lead to kappa-Poincare Hopf algebra, the first being an Abelian one and the second corresponding to a light-like kappa-deformation of Poincare algebra. The advantage of the second one is that it is expressed solely in terms of Poincare generators.
Jurić, Tajron +2 more
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Graded twisting of categories and quantum groups by group actions [PDF]
, 2016 Given a Hopf algebra $A$ graded by a discrete group together with an action of the same group preserving the grading, we define a new Hopf algebra, which we call the graded twisting of $A$. If the action is adjoint, this new Hopf algebra is a twist of $A$
Bichon, Julien +2 more
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The Hopf Algebra Structure of the Character Rings of Classical Groups [PDF]
, 2012 The character ring \CGL of covariant irreducible tensor representations of the general linear group admits a Hopf algebra structure isomorphic to the Hopf algebra \Sym$ of symmetric functions.
Fauser, Bertfried +2 more
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Nonlocal, noncommutative diagrammatics and the linked cluster Theorems [PDF]
, 2011 Recent developments in quantum chemistry, perturbative quantum field theory, statistical physics or stochastic differential equations require the introduction of new families of Feynman-type diagrams. These new families arise in various ways.
Brouder, Christian, Frédéric, Patras
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Hopf Algebras in Combinatorics
, 2020 These notes -- originating from a one-semester class by their second author at the University of Minnesota -- survey some of the most important Hopf algebras appearing in combinatorics.
Grinberg, Darij, Reiner, Victor
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