搜索结果: 16-30 共查到“代数学 C-algebras”相关记录256条 . 查询时间(0.038 秒)
A definition of prepoisson algebras is proposed, combining structures of prelie and zinbiel
algebra on the same vector space. It is shown that a prepoisson algebra gives rise to a Poisson algebra
by...
Infinitesimal Hopf algebras
Hopf algebras derivations Yang-Baxter equation Drinfeld’s double
2015/8/14
Infinitesimal bialgebras were introduced by Joni and Rota [J-R].
An infinitesimal bialgebra is at the same time an algebra and a coalgebra, in
such a way that the comultiplication is a derivation. I...
INFINITESIMAL BIALGEBRAS, PRE-LIE AND DENDRIFORM ALGEBRAS
Infinitesimal bialgebras pre-Lie algebras dendriform algebras
2015/8/14
We introduce the categories of infinitesimal Hopf modules and bimodules over an infinitesimal
bialgebra. We show that they correspond to modules and bimodules over the infinitesimal
version of the d...
Representations of matched pairs of groupoids and applications to weak Hopf algebras
groupoids and applications algebras
2015/8/14
We introduce the category of set-theoretic representations of a
matched pair of groupoids. This is a monoidal category endowed with a
monoidal functor f` to the category of quivers over the common b...
COCOMMUTATIVE HOPF ALGEBRAS OF PERMUTATIONS AND TREES
Hopf algebr rooted tree planar binary tree symmetric group
2015/8/14
Consider the coradical filtrations of the Hopf algebras of planar binary
trees of Loday and Ronco and of permutations of Malvenuto and Reutenauer. We
give explicit isomorphisms showing that the asso...
COMBINATORIAL HOPF ALGEBRAS AND GENERALIZED DEHN-SOMMERVILLE RELATIONS
Hopf algebra, character, generalized Dehn-Sommerville relations
2015/8/14
A combinatorial Hopf algebra is a graded connected Hopf algebra over
a field k equipped with a character (multiplicative linear functional) : H → k.
We show that the terminal object in the categor...
Coxeter groups and Hopf algebras I
Coxeter group descent global descent hyperplane arrangement
2015/8/14
In the study of a mathematical system, algebraic structures allow for the discovery of
more information. This is the motor behind the success of many areas of mathematics
such as algebraic geometry,...
THE PEAK ALGEBRA AND THE DESCENT ALGEBRAS OF TYPES B AND D
peak algebra signed permutations Coxeter groups
2015/8/14
We show the existence of a unital subalgebra Pn of the symmetric group
algebra linearly spanned by sums of permutations with a common peak set, which we
call the peak algebra. We show that Pn is the...
Hopf algebras and Markov chains: Two examples and a theory
By-products hopf algebra markov chain complex lie algebra combination
2015/7/7
The operation of squaring (coproduct followed by product) in a combinatorial Hopf algebra is shown to induce a Markov chain in natural bases. Chains constructed in this way include widely studied meth...
Quadri-algebras
Quadri-algebras
2015/3/25
We introduce the notion of quadri-algebras. These are associative algebras for which the multiplication can be decomposed as the sum of four operations in a certain coherent manner. We present several...
A Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an explicit combinatoria...
Open-string vertex algebras, tensor categories and operads
Open-string vertex algebras tensor categories operads
2015/3/25
We introduce notions of open-string vertex algebra, conformal open-string vertex algebra and variants of these notions. These are ``open-string-theoretic,'' ``noncommutative'' generalizations of the n...
Deformations of algebras over operads and Deligne's conjecture
algebras over operads Deligne's conjecture
2015/3/25
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces of...
We prove an analogue of the Poincare'-Birkhoff-Witt theorem and of the Cartier-Milnor-Moore theorem for non-cocommutative Hopf algebras. The primitive part of a cofree Hopf algebra is a B-infini-algeb...
Manin products, Koszul duality, Loday algebras and Deligne conjecture
Manin products Koszul duality Loday algebras Deligne conjecture
2015/3/25
In this article we give a conceptual definition of Manin products in any category endowed with two coherent monoidal products. This construction can be applied to associative algebras, non-symmetric o...