Zobrazeno 1 - 10
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pro vyhledávání: '"Hartl, Manfred"'
In [5], the notion of polynomial cocycles is used to give an expression for the second cohomology of T-groups with coefficients in a torsion-free nilpotent module. We make this expression concrete in the case of a T-group G of nilpotency class <=2 an
Externí odkaz:
http://arxiv.org/abs/1405.3870
In this paper, we give a description of polynomial functors from (finitely generated free) groups to abelian groups in terms of non-linear Mackey functors generalizing those given in a paper of Baues-Dreckmann-Franjou-Pirashvili published in 2001. Th
Externí odkaz:
http://arxiv.org/abs/1209.1607
We construct a seven-term exact sequence involving low degree cohomology spaces of a Lie algebra $\Lg$, an ideal $\Lh$ of $\Lg$ and the quotient $\Lg / \Lh$ with coefficients in a $\Lg$-module. The existence of such a sequence follows from the Hochsc
Externí odkaz:
http://arxiv.org/abs/1209.0277
Autor:
Hartl, Manfred, Van der Linden, Tim
Publikováno v:
Adv. Math. 232 (2013) 571-607
In finitely cocomplete homological categories, co-smash products give rise to (possibly higher-order) commutators of subobjects. We use binary and ternary co-smash products and the associated commutators to give characterisations of internal crossed
Externí odkaz:
http://arxiv.org/abs/1107.0954
In this paper, we construct a seven-term exact sequence involving the cohomology groups of a group extension. Although the existence of such a sequence can be derived using spectral sequence arguments, there is little knowledge about some of the maps
Externí odkaz:
http://arxiv.org/abs/1103.4052
Autor:
Hartl, Manfred, Loiseau, Bruno
Let $G$ and $A$ be objects of a finitely cocomplete homological category $\mathbb C$. We define a notion of an (internal) action of $G$ of $A$ which is functorially equivalent with a point in $\mathbb C$ over $G$, i.e. a split extension in $\mathbb C
Externí odkaz:
http://arxiv.org/abs/1003.0096
Autor:
Gaudier, Henri, Hartl, Manfred
We introduce the notions of a commutative square ring $R$ and of a quadratic map between modules over $R$, called $R$-quadratic map. This notion generalizes various notions of quadratic maps between algebraic objects in the literature. We construct a
Externí odkaz:
http://arxiv.org/abs/1001.2849
Autor:
Hartl, Manfred, Loiseau, Bruno
Semi-abelian and finitely cocomplete homological categories are characterized in terms of four resp. three simple axioms, in terms of the basic categorical notions introduced in the first few chapters of MacLane's classical book. As an immediate appl
Externí odkaz:
http://arxiv.org/abs/0905.4941
Autor:
Hartl, Manfred, Vespa, Christine
We study polynomial functors of degree 2, called quadratic, with values in the category of abelian groups $Ab$, and whose source category is an arbitrary category $\C$ with null object such that all objects are colimits of copies of a generating obje
Externí odkaz:
http://arxiv.org/abs/0810.4502
Autor:
Hartl, Manfred
Publikováno v:
Georgian Math. J. 16 (2009), no. 1, 55-74
The notion of quadratic maps between arbitrary groups appeared at several places in the literature on quadratic algebra. Here a unified extensive treatment of their properties is given; the relation with a relative version of Passi's polynomial maps
Externí odkaz:
http://arxiv.org/abs/0707.0371