搜索结果: 1-12 共查到“数学 hopf algebra”相关记录12条 . 查询时间(0.211 秒)
STRUCTURE OF THE MALVENUTO-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS
Hopf algebra symmetric group weak order quasi-symmetric function
2015/8/14
We analyze the structure of theMalvenuto-Reutenauer Hopf algebraSSym
of permutations in detail. We give explicit formulas for its antipode, prove that it is
a cofree coalgebra, determine its primiti...
STRUCTURE OF THE LODAY-RONCO HOPF ALGEBRA OF TREES
Hopf algebra planar binary tree permutation weak order
2015/8/14
Loday and Ronco defined an interesting Hopf algebra structure on the linear
span of the set of planar binary trees. They showed that the inclusion of the Hopf algebra
of non-commutative symmetric fu...
THE HOPF ALGEBRA OF UNIFORM BLOCK PERMUTATIONS
Hopf algebra factorizable inverse monoid uniform block permutation
2015/8/14
We introduce the Hopf algebra of uniform block permutations and show that
it is self-dual, free, and cofree. These results are closely related to the fact that uniform
block permutations form a fact...
We study P-Hopf algebras with one coassociative cooperation over different operads P. For example, we consider the Loday-Ronco dendriform Hopf algebra and its isomorphisms with the noncommutative plan...
On Spineless Cacti, Deligne's Conjecture and Connes--Kreimer's Hopf Algebra
Spineless Cacti Deligne's Conjecture Connes--Kreimer's Hopf Algebra
2015/3/25
Using a cell model for the little discs operad in terms of spineless cacti we give a minimal common topological operadic formalism for three a priori disparate algebraic structures: (1) a solution to ...
The Hopf algebra of odd symmetric functions
odd symmetric functions Hopf algebra Quantum Algebra
2011/9/22
Abstract: We consider a q-analogue of the standard bilinear form on the commutative ring of symmetric functions. The q=-1 case leads to a Z-graded Hopf superalgebra which we call the algebra of odd sy...
Noncommutative oscillators from a Hopf algebra twist deformation. A first principles derivation
Noncommutative oscillators Hopf algebra twist deformation principles derivation
2011/3/3
Noncommutative oscillators are first-quantized through an abelian Drinfel’d twist deformation of a Hopf algebra and its action on a module. Several impor-tant and subtle issues making possible the qua...
The incidence Hopf algebra of graphs
combinatorial Hopf algebra graph chromatic polynomial
2011/2/24
The graph algebra is a commutative, cocommutative, graded,connected incidence Hopf algebra, whose basis elements correspond to fi-nite simple graphs and whose Hopf product and coproduct admit simple c...
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 Hop...
A Super Version of the Connes-Moscovici Hopf Algebra
the Connes-Moscovici Hopf Algebra Quantum Algebra
2010/11/18
We define a super version of the Connes-Moscovici Hopf algebra, $\mathcal{H}_1$. For that, we consider the supergroup $G^s=Diff^+(\mathbb{R}^{1,1})$ of orientation preserving diffeomorphisms of the s...
On Hopf algebra deformation approach to renormalization
Renormalization Wiener-Hopf factorization deformation quantization
2009/1/4
The relation between Connes-Kreimer Hopf algebra approach
to renormalization and deformation quantization is investigated. Both
approaches rely on factorization, the correspondence being established...
Towards cohomology of renormalization: bigrading the combinatorial Hopf algebra of rooted trees
bigrading the combinatorial Hopf algebra rooted trees
2010/11/2
The renormalization of quantum field theory twists the antipode of a noncocommutative Hopf algebra of rooted trees, decorated by an infinite set of primitive divergences. The Hopf algebra of undecorat...