Results 1  10
of
8,713
ACTIONS OF COMMUTATIVE HOPF ALGEBRAS
"... We show that actions of finitedimensional semisimple commutative Hopf algebras H on //module algebras A are essentially groupgradings. Moreover we show that the centralizer of H in the smash product A # H equals A " ® H. Using these we invoke results about group graded algebras and resu ..."
Abstract

Cited by 8 (0 self)
 Add to MetaCart
We show that actions of finitedimensional semisimple commutative Hopf algebras H on //module algebras A are essentially groupgradings. Moreover we show that the centralizer of H in the smash product A # H equals A " ® H. Using these we invoke results about group graded algebras
COMMUTATIVE HOPF ALGEBRAS OF PERMUTATIONS AND TREES
, 2005
"... Abstract. We propose several constructions of commutative or cocommutative Hopf algebras based on various combinatorial structures, and investigate the relations between them. A commutative Hopf algebra of permutations is obtained by a general construction based on graphs, and its noncommutative du ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Abstract. We propose several constructions of commutative or cocommutative Hopf algebras based on various combinatorial structures, and investigate the relations between them. A commutative Hopf algebra of permutations is obtained by a general construction based on graphs, and its noncommutative
Noncommutative Hopf algebra of formal diffeomorphisms
, 2008
"... The subject of this paper are two Hopf algebras which are the noncommutative analogues of two different groups of formal power series. The first group is the set of invertible series with the group law being multiplication of series, while the second group is the set of formal diffeomorphisms with ..."
Abstract

Cited by 36 (4 self)
 Add to MetaCart
The subject of this paper are two Hopf algebras which are the noncommutative analogues of two different groups of formal power series. The first group is the set of invertible series with the group law being multiplication of series, while the second group is the set of formal diffeomorphisms
Higher conjugation cohomology in commutative Hopf algebras
, 1999
"... Let A be a graded, commutative Hopf algebra. We study an action of the symmetric group n on the tensor product of n − 1 copies of A; this action was introduced by the second author in [8] and is relevant to the study of commutativity conditions on ring spectra in stable homotopy theory [6]. We show ..."
Abstract

Cited by 3 (0 self)
 Add to MetaCart
Let A be a graded, commutative Hopf algebra. We study an action of the symmetric group n on the tensor product of n − 1 copies of A; this action was introduced by the second author in [8] and is relevant to the study of commutativity conditions on ring spectra in stable homotopy theory [6]. We show
A combinatorial noncommutative Hopf algebra of graphs
, 2013
"... A noncommutative, planar, Hopf algebra of planar rooted trees was defined independently by one of the authors in Foissy (2002) and by R. Holtkamp in Holtkamp (2003). In this paper we propose such a noncommutative Hopf algebra for graphs. In order to define a noncommutative product we use a quant ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
A noncommutative, planar, Hopf algebra of planar rooted trees was defined independently by one of the authors in Foissy (2002) and by R. Holtkamp in Holtkamp (2003). In this paper we propose such a noncommutative Hopf algebra for graphs. In order to define a noncommutative product we use a
Piecewise Principal Coactions of CoCommutative Hopf Algebras?
"... Abstract. Principal comodule algebras can be thought of as objects representing principal bundles in noncommutative geometry. A crucial component of a principal comodule algebra is a strong connection map. For some applications it suffices to prove that such a map exists, but for others, such as c ..."
Abstract
 Add to MetaCart
explicit general formula is unwieldy. In this paper we derive a much easier to use strong connection formula, which is not, however, completely general, but is applicable only in the case when a Hopf algebra is cocommutative. Because certain linear splittings of projections in multipullback comodule
Commutative Morava homology Hopf algebras
 CONTEMPORARY MATHEMATICS
"... We give the Dieudonne ́ module theory for Z/2(pn − 1)graded bicommutative Hopf algebras over Fp. These objects arise as the Morava Ktheory of homotopy associative, homotopy commutative Hspaces. ..."
Abstract

Cited by 6 (2 self)
 Add to MetaCart
We give the Dieudonne ́ module theory for Z/2(pn − 1)graded bicommutative Hopf algebras over Fp. These objects arise as the Morava Ktheory of homotopy associative, homotopy commutative Hspaces.
Results 1  10
of
8,713