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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...
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...
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...
Abstract: Given a generic curve of genus $g\geqslant4$ and a smooth point $L\in W_{g-1}^{1}(C)$, whose linear system is base-point free, we consider the Abel-Jacobi normal function associated to $L^{\...
Regular infinitesimal flag structures are geometric structures, which occur as underlying structures of parabolic geometries. Among these structures we have for instance conformal structures, contact ...
We define Lie subalgebras of the group algebra of a finite pseudo-reflection group that are involved in the definition of the Cherednik KZsystems,and determine their structure.
Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a pa...
Many classical objects on a surface S can be interpreted as cross-ratio functions on the circle at infinity of the universal covering eS.This includes closed curves considered up to homotopy, metrics ...
We define higher order infinitesimal noncommutative probability space and infinitesimal non-crossing cumulant functionals. In this framework,we generalize to higher order the notion of infinitesimal f...
We prove analogues of some of Kostant’s theorems for in-finitesimal Cherednik algebras of gln. As a consequence, it follows that in positive characteristic the Azumaya and smooth loci of the center of...
Infinitesimal K-theory     Infinitesimal K-theory  math       2010/11/1
In this paper we study the fiber F of the rational Jones-Goodwillie character $$ F:=\hofiber(ch:K^\rat(A)@>>>HN^\rat(A)) $$ going from K-theory to negative cyclic homology of associative rings. We de...

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