Results 21 to 30 of about 41,770 (202)
Plethystic Hopf algebras. [PDF]
Proceedings of the National Academy of Sciences, 1994 The notion of a plethystic algebra associated with a Hopf algebra endowed with a suitable bilinear form is defined. A special case is the Hopf algebra of symmetric functions.
Rota, Gian-Carlo, Stein, Joel A.
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Post-Lie algebras in Regularity Structures
Forum of Mathematics, Sigma, 2023 In this work, we construct the deformed Butcher-Connes-Kreimer Hopf algebra coming from the theory of Regularity Structures as the universal envelope of a post-Lie algebra.
Yvain Bruned, Foivos Katsetsiadis
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International Journal of Mathematics and Mathematical Sciences, 2010 We introduce a class of noncommutative and noncocommutative weak Hopf algebras with infinite Ext quivers and study their structure. We decompose them into a direct sum of two algebras. The coalgebra structures of these weak Hopf algebras are described by
Dongming Cheng
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Combinatorial Hopf algebras from renormalization [PDF]
, 2009 In this paper we describe the right-sided combinatorial Hopf structure of three Hopf algebras appearing in the context of renormalization in quantum field theory: the non-commutative version of the Fa\`a di Bruno Hopf algebra, the non-commutative version
Alessandra Frabetti +15 more
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Interacting Hopf algebras [PDF]
Journal of Pure and Applied Algebra, 2017 We introduce the theory IH of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IH are derived using Lack's approach to composing PROPs: they feature two Hopf algebra and two Frobenius algebra structures on four different monoid-comonoid pairs.
Bonchi F., Sobocinski P., Zanasi F.
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Quantum twist-deformed D = 4 phase spaces with spin sector and Hopf algebroid structures
Physics Letters B, 2019 We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra H and quantum Poincare Hopf group Gˆ.
Jerzy Lukierski +2 more
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The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra
Journal of Mathematics, 2021 For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebra H1, we define the nonbalanced quantum double DH1;H as the crossed product of H with H1op^, with respect to the left coadjoint representation of the ...
Xin Qiaoling, Cao Tianqing
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Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras [PDF]
Communications in Algebra, 2016 24 pages, many ...
Dello, Jeroen +3 more
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International Journal of Mathematics and Mathematical Sciences, 2004 Using diagrammatic pictures of tensor contractions, we consider a Hopf algebra (Aop⊗ℛλA*)* twisted by an element ℛλ∈A*⊗Aop corresponding to a Hopf algebra morphism λ:A→A.
Daijiro Fukuda, Ken'ichi Kuga
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Multiplier Hopf Coquasigroup: Motivation and Biduality
Mathematics, 2022 Inspired by the multiplier Hopf algebra theory introduced by A. Van Daele, this paper introduces a new algebraic structure, a multiplier Hopf coquasigroup, by constructing the integral dual of an infinite-dimensional Hopf quasigroup with faithful ...
Tao Yang
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