Add to ORKGThis paper discusses various deformations of free associative algebras and of their convolution algebras. Our main examples are deformations of noncommutative symmetric functions related to families of idempotents in descent algebras, and a simple q-analogue of the shuffle product, which has unexpected connections with quantum groups, hyperplane arrangements, and certain questions in mathematical physics (the quon algebra, generalized Brownian motion)
Abstract. We investigate two associative products over the ring of symmetric functions related to th...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
latex, 37 pagesWe study a three dimensional non-commutative space emerging in the context of three d...
[in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.]International audienceThis paper...
This paper discusses various deformations of free associative algebras and of their convolution alge...
Abstract. We investigate deformations of the shuffle Hopf algebra structure Sh(A) which can be defin...
18 pagesInternational audienceThe Hopf algebra of word-quasi-symmetric functions ($\WQSym$), a nonco...
Submitted 28.11.04We examine two associative products over the ring of symmetric functions related t...
Since the advent of quantum mechanics, we know that the microscopic world exhibits some strange quan...
In this book the authors develop a theory of free noncommutative functions, in both algebraic and an...
A new approach to the construction of formal deformations of associative algebras is proposed. It ex...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
AbstractWe discuss a general construction of a deformation of a smash product algebra coming from an...
International audienceComputations with integro-differential operators are often carried out in an a...
Abstract: Several Clifford algebras that are covariant under the action of a Lie algebra $g$ can be ...
Abstract. We investigate two associative products over the ring of symmetric functions related to th...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
latex, 37 pagesWe study a three dimensional non-commutative space emerging in the context of three d...
[in "Special Issue : Lie Computations", G. Jacob, V. Koseleff, Eds.]International audienceThis paper...
This paper discusses various deformations of free associative algebras and of their convolution alge...
Abstract. We investigate deformations of the shuffle Hopf algebra structure Sh(A) which can be defin...
18 pagesInternational audienceThe Hopf algebra of word-quasi-symmetric functions ($\WQSym$), a nonco...
Submitted 28.11.04We examine two associative products over the ring of symmetric functions related t...
Since the advent of quantum mechanics, we know that the microscopic world exhibits some strange quan...
In this book the authors develop a theory of free noncommutative functions, in both algebraic and an...
A new approach to the construction of formal deformations of associative algebras is proposed. It ex...
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2001.Includes bibliogr...
AbstractWe discuss a general construction of a deformation of a smash product algebra coming from an...
International audienceComputations with integro-differential operators are often carried out in an a...
Abstract: Several Clifford algebras that are covariant under the action of a Lie algebra $g$ can be ...
Abstract. We investigate two associative products over the ring of symmetric functions related to th...
In this paper we study two deformation procedures for quantum groups: deformations by twists, that w...
latex, 37 pagesWe study a three dimensional non-commutative space emerging in the context of three d...