Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Andersen, Kasper K. S."'
Publikováno v:
J. Algebra 489 (2017), 310--372
We prove, when $S$ is a $2$-group of order at most $2^9$, that each reduced fusion system over $S$ is the fusion system of a finite simple group and is tame. It then follows that each saturated fusion system over a $2$-group of order at most $2^9$ is
Externí odkaz:
http://arxiv.org/abs/1606.05059
Autor:
Andersen, Kasper K. S., Thomsen, Klaus
We study the C*-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the C*-algebra is completely determined for all strongly transitive a
Externí odkaz:
http://arxiv.org/abs/1204.0224
Autor:
Andersen, Kasper K. S., Castellana, Natalia, Franjou, Vincent, Jeanneret, Alain, Scherer, Jerome
Publikováno v:
Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 56 / Issue 01 / February 2013, pp 13-25
Is the cohomology of the classifying space of a p-compact group, with Noetherian twisted coefficients, a Noetherian module? This note provides, over the ring of p-adic integers, such a generalization to p-compact groups of the Evens-Venkov Theorem. W
Externí odkaz:
http://arxiv.org/abs/1102.2755
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion systems: fusion systems which are not the fusion systems
Externí odkaz:
http://arxiv.org/abs/1009.0622
Autor:
Andersen, Kasper K. S., Grodal, Jesper
Publikováno v:
J Topology 2008 1: 747-760
In this paper we completely classify which graded polynomial R-algebras in finitely many even degree variables can occur as the singular cohomology of a space with coefficients in R, a 1960 question of N. E. Steenrod, for a commutative ring R satisfy
Externí odkaz:
http://arxiv.org/abs/0704.4002
Autor:
Andersen, Kasper K. S., Grodal, Jesper
Publikováno v:
J. Amer. Math. Soc. 22 (2009), 387-436
We prove that any connected 2-compact group is classified by its 2-adic root datum, and in particular the exotic 2-compact group DI(4), constructed by Dwyer-Wilkerson, is the only simple 2-compact group not arising as the 2-completion of a compact co
Externí odkaz:
http://arxiv.org/abs/math/0611437
Autor:
Andersen, Kasper K. S., Grodal, Jesper
This is a summary of a talk given at the "Conference on Pure and Applied Topology", Isle of Skye, June 24, 2005. It contains an announcement and sketch of proof of the classification of 2-compact groups.
Comment: 6 Pages
Comment: 6 Pages
Externí odkaz:
http://arxiv.org/abs/math/0510180
Autor:
Andersen, Kasper K. S., Grodal, Jesper
Publikováno v:
Geom. Topol. 12 (2008) 1427-1460
We construct a model for the space of automorphisms of a connected p-compact group in terms of the space of automorphisms of its maximal torus normalizer and its root datum. As a consequence we show that any homomorphism to the outer automorphism gro
Externí odkaz:
http://arxiv.org/abs/math/0510179
Publikováno v:
Invent. Math 157 (2004), no. 1, 1--10.
We construct a connected finite loop space of rank 66 and dimension 1254 whose rational cohomology is not isomorphic as a graded vector space to the rational cohomology of any compact Lie group, hence providing a counterexample to a classical conject
Externí odkaz:
http://arxiv.org/abs/math/0306234
Publikováno v:
Annals of Math. 167 (2008), 95--210
A p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-local analog of a compact Lie group. It has long been the hope, and later the conjecture, that these objects should have a classification similar to the classif
Externí odkaz:
http://arxiv.org/abs/math/0302346