Results 61 to 70 of about 680,985 (272)

Hopf algebras of m-permutations, (m + 1)-ary trees, and m-parking functions [PDF]

Advances in Applied Mathematics, 2014
The m-Tamari lattice of F. Bergeron is an analogue of the clasical Tamari order defined on objects counted by Fuss-Catalan numbers, such as m-Dyck paths or (m+1)-ary trees.
J. Novelli, J. Thibon
semanticscholar   +1 more source

Multiplier Left Hopf Algebras

Mathematics
In this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras.
Chunxiao Yan, Shuanhong Wang
doaj   +1 more source

3-dimensional Λ-BMS symmetry and its deformations

Journal of High Energy Physics, 2021
In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible Lie bialgebra
Andrzej Borowiec, Jerzy Kowalski-Glikman, Josua Unger   +2 more
doaj   +1 more source

A Hopf module characterization of Hopf algebras [PDF]

Proceedings of the American Mathematical Society, 1983
A bialgebra over a field is a Hopf algebra if and only if all (nonzero) right Hopf modules are free, as modules, on a set of invariants.
openaire   +2 more sources

Involutory Hopf Algebras [PDF]

Transactions of the American Mathematical Society, 1995
In 1975, Kaplansky conjectured that a finite-dimensional semisimple Hopf algebra is necessarily involutory. Twelve years later, Larson and Radford proved the conjecture in characterisitic 0 0
Passman, D. S., Quinn, Declan
openaire   +2 more sources

Frobenius–Schur Indicator for Categories with Duality

Axioms, 2012
We introduce the Frobenius–Schur indicator for categories with duality to give a category-theoretical understanding of various generalizations of the Frobenius–Schur theorem including that for semisimple quasi-Hopf algebras, weak Hopf C*-algebras and ...
Kenichi Shimizu
doaj   +1 more source

On finite-dimensional Hopf algebras [PDF]

, 2014
This is a survey on the state-of-the-art of the classification of finite-dimensional complex Hopf algebras. This general question is addressed through the consideration of different classes of such Hopf algebras.
N. Andruskiewitsch
semanticscholar   +1 more source

Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras [PDF]

International journal of algebra and computation, 2014
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
K. Ebrahimi-Fard, Alexander Lundervold, D. Manchon   +2 more
semanticscholar   +1 more source

Algebraic and combinatorial structures on Baxter permutations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (\emphi.e.
Samuele Giraudo
doaj   +1 more source

Green Rings of Pointed Rank One Hopf algebras of Non-nilpotent Type [PDF]

, 2014
In this paper, we continue our study of the Green rings of finite dimensional pointed Hopf algebras of rank one initiated in \cite{WLZ}, but focus on those Hopf algebras of non-nilpotent type. Let $H$ be a finite dimensional pointed rank one Hopf algebra
Zhihua Wang, Libin Li, Yinhuo Zhang
semanticscholar   +1 more source