Results 41 to 50 of about 1,475 (226)

Kappa Snyder deformations of Minkowski spacetime, realizations, and Hopf algebra [PDF]

, 2011
We present Lie-algebraic deformations of Minkowski space with undeformed Poincare algebra. These deformations interpolate between Snyder and {kappa}-Minkowski space.
S. Meljanac, D. Meljanac, A. Samsarov, M. Stojić   +3 more
semanticscholar   +1 more source

Hopf Differential Graded Galois Extensions

Mathematics, 2022
We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
doaj   +1 more source

基本弱Hopf代数和弱覆盖箭图(Basic weak Hopf algebra and weak covering quiver)

Zhejiang Daxue xuebao. Lixue ban, 2016
We introduce a finite-dimensional basic and split weak Hopf algebra H over an algebraically closed field k with strongly graded Jacobson radical r. We obtain some structures of a finite-dimensional basic and split semilattice graded weak Hopf algebra,and
AHMEDMunir(穆尼尔•艾哈迈德), LIFang(李方)   +1 more
doaj   +1 more source

The Hopf algebra of diagonal rectangulations [PDF]

Journal of Combinatorial Theory, 2010
We define and study a combinatorial Hopf algebra dRec with basis elements indexed by diagonal rectangulations of a square. This Hopf algebra provides an intrinsic combinatorial realization of the Hopf algebra tBax of twisted Baxter permutations, which ...
Shirley Law, Nathan Reading
semanticscholar   +1 more source

The Incidence Hopf Algebra of Graphs [PDF]

SIAM Journal on Discrete Mathematics, 2010
The graph algebra is a commutative, cocommutative, graded, connected incidence Hopf algebra, whose basis elements correspond to finite simple graphs and whose Hopf product and coproduct admit simple combinatorial descriptions.
B. Humpert, Jeremy L. Martin
semanticscholar   +1 more source

The Cambrian Hopf Algebra [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the conditions for classical binary search trees.
G. Chatel, V. Pilaud
doaj   +1 more source

Hopf Algebra Symmetries of an Integrable Hamiltonian for Anyonic Pairing

Axioms, 2012
Since the advent of Drinfel’d’s double construction, Hopf algebraic structures have been a centrepiece for many developments in the theory and analysis of integrable quantum systems.
Jon Links
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

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