搜索结果: 1-15 共查到“代数学 actions”相关记录15条 . 查询时间(0.078 秒)
We exhibit sufficient conditions for a monoidal monad T on a monoidal category C to induce a monoidal structure on the Eilenberg--Moore category C^T that classifies bimorphisms. The category of action...
Amenable, transitive and faithful actions of groups acting on trees
Amenable transitive faithful actions groups trees
2012/3/1
We study under which condition an amalgamated free product or an HNN-extension over a finite subgroup admits an amenable, transitive and faithful action on an infinite countable set. We show that such...
Abstract: In this paper we introduce the definition of partial action on small $k$-categories generalizing the similar well known notion of partial actions on algebras. The point of view of partial ac...
Arens Regularity and Module Arens Regularity of Module Actions
Arens regularity Bilinear mappings Topological center Second dual
2011/1/20
In this paper, we extend some problems from Arens regularity and module Arens regularity of Banach algebras to module actions.
Higher Lie algebra actions on Lie algebroids
Lie algebroid NQ-manifold double Lie algebroid higher Lie algebra action
2011/1/17
We consider a simple instance of action up to homotopy. More precisely, we consider non-strict actions of DGLAs in degrees −1 and 0 on degree 1 NQ-manifolds. In a more conventional language this...
Structure and K-theory of crossed products by proper actions
Structure K-theory of crossed products proper actions
2011/2/25
We study the C*-algebra crossed product C0(X) ⋊ G of a locally compact group G acting properly on a locally compact Hausdorff space X.Under some mild extra conditions, which are automatic if G i...
Nonfree Actions of Countable Groups and their Characters
Nonfree actions lattice of subgroups characters factor representa-tions
2011/2/24
We introduce a number of definitions of nonfree actions of groups. The most important of them is that of a totally nonfree action; it is naturally related to the theory of characters of groups and the...
Smooth Lie group actions are parametrized diffeological subgroups
Smooth Lie group actions parametrized diffeological subgroups
2011/1/17
We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset
diffeology of the functio...
Quasi-free actions of finite groups on the Cuntz algebra $\mathcal{O}_\infty$
Quasi-free actions finite groups Cuntz algebra $\mathcal{O}_\infty$
2011/1/17
We show that any faithful quasi-free actions of a finite group on the Cuntz algebra O1 are mutually conjugate, and that they are asymptotically rep-resentable.
Non-linear Group Actions with Polynomial Invariant Rings and a Structure Theorem for Modular Galois Extensions
Non-linear Group Polynomial Invariant Rings
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...
Equivariant K-theory for proper actions of non-compact Lie groups
Equivariant K-theory proper actions non-compact Lie groups
2010/11/8
Generalizing a construction of Wolfgang L\"uck and Bob Oliver, we define a good equivariant cohomology theory on the category of proper G-CW complexes when G is an arbitrary Lie group (possibly non-c...
A note on trace scaling actions and fundamental groups of $C^*$-algebras
Fundamental group Trace scaling action Dimension group
2010/12/1
Using Effros-Handelman-Shen theorem and Elliott’s classification theorem of AF algebras, we show that there exists a unital simple AF algebra A with unique trace such that A K admits no trace scaling ...
Quotients by actions of the derived group of a maximal unipotent subgroup
Quotients derived group of a maximal unipotent subgroup
2010/12/9
The ground field k is algebraically closed and of characteristic zero. Let G be a semisimple
algebraic group with Lie algebra g. Fix a maximal unipotent subgroup U ⊂ G and a maximal torus T of ...
Finite group actions, rational fixed points and weak Néron models
Finite group actions rational fixed points weak Néron models
2010/12/1
If G is a finite ℓ-group acting on an affine space An over a finite field K of cardinality prime to ℓ, Serre [29] shows that there exists a rational fixed point. We generalize this to the ...
Finitary Actions and Invariant Ideals
group algebra invariant ideal locally finite simple group finitary permutation group permutation module finitary linear group
2010/2/26
Let K be a field and let G be a group. If G acts on an abelian group V, then it acts naturally on any group algebra K[V], and we are concerned with classifying the G-stable ideals of K[V]. In this pap...