Results 31 to 40 of about 680,985 (272)

Generalized Hopf–Ore Extensions of Hopf Group-Coalgebras

Mathematics, 2022
In this paper, we introduce the concept of a generalized Hopf–Ore extension of a Hopf group-coalgebra and give the necessary and sufficient conditions for the Ore extension of a Hopf group-coalgebra to be a Hopf group-coalgebra.
Ding-Guo Wang, Xing Wang
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A Hopf algebra of subword complexes (Extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acyclic orientations of certain graphs, and show that this Hopf algebra induces ...
Nantel Bergeron, Cesar Ceballos
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A class of semisimple Hopf algebras acting on quantum polynomial algebras [PDF]

Contemporary Mathematics, 2017
We construct a class of non-commutative, non-cocommutative, semisimple Hopf algebras of dimension $2n^2$ and present conditions to define an inner faithful action of these Hopf algebras on quantum polynomial algebras, providing, in this way, more ...
Deividi Pansera
semanticscholar   +1 more source

Weak quasi-symmetric functions, Rota–Baxter algebras and Hopf algebras [PDF]

Advances in Mathematics, 2017
We introduce the Hopf algebra of quasi-symmetric functions with semigroup exponents generalizing the Hopf algebra QSym of quasi-symmetric functions. As a special case we obtain the Hopf algebra QSym N ˜ of weak quasi-symmetric functions, which provides a
Li Guo, J. Thibon, Houyi Yu
semanticscholar   +1 more source

Partial categorification of Hopf algebras and representation theory of towers of \mathcalJ-trivial monoids [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
This paper considers the representation theory of towers of algebras of $\mathcal{J} -trivial$ monoids. Using a very general lemma on induction, we derive a combinatorial description of the algebra and coalgebra structure on the Grothendieck rings $G_0 ...
Aladin Virmaux
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SL(2,Z)-action for ribbon quasi-Hopf algebras [PDF]

Journal of Algebra, 2017
We study the universal Hopf algebra L of Majid and Lyubashenko in the case that the underlying ribbon category is the category of representations of a finite dimensional ribbon quasi-Hopf algebra A.
V. Farsad, A. Gainutdinov, I. Runkel
semanticscholar   +1 more source

From Quantum Automorphism of (Directed) Graphs to the Associated Multiplier Hopf Algebras

Mathematics, 2023
This is a noticeably short biography and introductory paper on multiplier Hopf algebras. It delves into questions regarding the significance of this abstract construction and the motivation behind its creation.
Farrokh Razavinia, Ghorbanali Haghighatdoost   +1 more
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On Hopf algebras over quantum subgroups [PDF]

Journal of Pure and Applied Algebra, 2016
Using the standard filtration associated with a generalized lifting method, we determine all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradical generates a Hopf subalgebra isomorphic to the smallest
G. A. García, J. M. J. Giraldi
semanticscholar   +1 more source

Rota-Baxter paired modules and their constructions from Hopf algebras [PDF]

, 2017
In this paper, we introduce the concept of a Rota-Baxter paired module to study Rota-Baxter modules without necessarily a Rota-Baxter operator. We obtain two characterizations of Rota-Baxter paired modules, and give some basic properties of Rota-Baxter ...
Huihui Zheng, Li Guo, Liangyun Zhang
semanticscholar   +1 more source

Connected (graded) Hopf algebras [PDF]

Transactions of the American Mathematical Society, 2016
We study algebraic and homological properties of two classes of infinite dimensional Hopf algebras over an algebraically closed field k of characteristic zero.
K. Brown, P. Gilmartin, James J. Zhang
semanticscholar   +1 more source