Results 41 to 50 of about 680,985 (272)

Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras [PDF]

open access: yesCommunications in Algebra, 2016
24 pages, many ...
Dello, Jeroen   +3 more
openaire   +3 more sources

Quasisymmetric functions from combinatorial Hopf monoids and Ehrhart Theory [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We investigate quasisymmetric functions coming from combinatorial Hopf monoids. We show that these invariants arise naturally in Ehrhart theory, and that some of their specializations are Hilbert functions for relative simplicial complexes. This class of
Jacob White
doaj   +1 more source

Interacting Frobenius Algebras are Hopf [PDF]

open access: yesLogic in Computer Science, 2016
Theories featuring the interaction between a Frobenius algebra and a Hopf algebra have recently appeared in several areas in computer science: concurrent programming, control theory, and quantum computing, among others. Bonchi, Sobocinski, and Zanasi [9]
Ross Duncan, Kevin Dunne
semanticscholar   +1 more source

Monomial Hopf algebras

open access: yesJournal of Algebra, 2004
Let $K$ be a field of characteristic 0 containing all roots of unity. We classify all the Hopf structures on monomial $K$-coalgebras, or, in dual version, on monomial $K$-algebras.
Chen, Xiao-Wu   +3 more
openaire   +3 more sources

Some interactions between Hopf Galois extensions and noncommutative rings

open access: yesUniversitas Scientiarum, 2022
In this paper, our objects of interest are Hopf Galois extensions (e.g., Hopf algebras, Galois field extensions, strongly graded algebras, crossed products, principal bundles, etc.) and families of noncommutative rings (e.g., skew polynomial rings, PBW ...
Armando Reyes, Fabio Calderón
doaj   +1 more source

McKay correspondence for semisimple Hopf actions on regular graded algebras, II [PDF]

open access: yesJournal of Noncommutative Geometry, 2016
In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin-Schelter regular algebras A of global dimension two, where A is a graded H-module algebra ...
K. Chan   +3 more
semanticscholar   +1 more source

Pertinency of Hopf actions and quotient categories of Cohen–Macaulay algebras [PDF]

open access: yesJournal of Noncommutative Geometry, 2016
We study invariants and quotient categories of fixed subrings of Artin-Schelter regular algebras under Hopf algebra actions.
Yan-Hong Bao, Ji-wei He, James J. Zhang
semanticscholar   +1 more source

Hopf algebras of rooted forests, cocyles, and free Rota-Baxter algebras [PDF]

open access: yes, 2016
The Hopf algebra and the Rota-Baxter algebra are the two algebraic structures underlying the algebraic approach of Connes and Kreimer to renormalization of perturbative quantum field theory.
Xing Gao, Li Guo, Tianjie Zhang
semanticscholar   +1 more source

HOPF ALGEBRAS OF DIAGRAMS

open access: yesInternational Journal of Algebra and Computation, 2011
We investigate several generalizations of the Hopf algebra MQSym whose constructions come from labelings of special diagrams in bijection with packed matrices. Their products come either from the Hopf algebras WSym or WQSym, respectively built on integer set partitions and set compositions.
Duchamp, Gerard Henry Edmond   +4 more
openaire   +3 more sources

Braided Hopf Algebras Obtained from Coquasitriangular Hopf Algebras [PDF]

open access: yesCommunications in Mathematical Physics, 2008
43 pages, 1 ...
Beattie, Margaret, Bulacu, Daniel
openaire   +2 more sources

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