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A Cartier-Gabriel-Kostant structure theorem for Hopf algebroids
Cartier-Gabriel-Kostant structure theorem Hopf algebroids
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2011/3/1
In this paper we give an extension of the Cartier-Gabriel-Kostant structure theorem to Hopf algebroids.
Non-linear Group Actions with Polynomial Invariant Rings and a Structure Theorem for Modular Galois Extensions
Non-linear Group Polynomial Invariant Rings
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2010/11/24
Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that...
On the manifold structure of the set of unparameterized embeddings with low regularity
manifold structure unparameterized embeddings
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2010/11/24
Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical structure of the space of embeddings of $M$ into $N$, having less regularity than $\mathcal C^\infty$, quotiented by the group o...
On the structure of (co-Frobenius) Hopf algebras
the structure co-Frobenius Hopf algebras
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2010/11/22
We introduce a new filtration on Hopf algebras, the standard filtration, generalizing the coradical filtration. Its zeroth term, called the Hopf coradical, is the subalgebra generated by the coradica...
The algebraic structure of the universal complicial sets
complicial set oriental omega-categor
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2010/12/8
The nerve of a strict omega-category is a simplicial set with ad-ditional structure, making it into a so-called complicial set, and strict omega-categories are in fact equivalent to complicial sets. T...
On a Local Structure in Kaplansky Algebras. Definitions and Basic Properties
Haussdorf projective limits C-algebras AW-algebras
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2011/2/25
We introduce and study locally AW-algebras (Baer locally C-algebras) as a locally multiplicatively convex generalization of AW-algebras of Kaplansky. Among other basic properties of these algebras.
On the structure of solutions to the static vacuum Einstein equations
structure the static vacuum Einstein equations
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2010/11/2
A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from th...