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For any odd prime $p$, we prove that the induced homomorphism from the mod $p$ cohomology of the classifying space of a compact simply-connected simple connected Lie group to the Weyl group invariants...
Localising subcategories for cochains on the classifying space of a finite group
classifying space finite group Localising subcategories
2011/9/20
Abstract: The localising subcategories of the derived category of the cochains on the classifying space of a finite group are classified. They are in one to one correspondence with the subsets of the ...
One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor
One-cohomology uniqueness group measure space decomposition
2011/2/25
e provide a unified and self-contained treatment of several of the recent uniqueness theorems
for the group measure space decomposition of a II1 factor.
Finsler spaces with infinite dimensional holonomy group
Finsler spaces infinite dimensional holonomy group
2011/1/17
Our paper is devoted to the study of the holonomy groups of Finsler surfaces using the methods of infinite dimensional Lie theory. The notion of infinitesimal holonomy algebra will be introduced, by t...
On solvability of the automorphism group of a finite-dimensional algebra
solvability of the automorphism group finite-dimensional algebra
2011/1/17
Consider an automorphism group of a finite-dimensional algebra. S. Halperin conjectured that the unity component of this group is solvable if the algebra is a complete intersection.
On the length of chains of proper subgroups covering a topological group
On the length of chains topological group
2010/11/9
We prove that if an ultrafilter L is not coherent to a Q-point, then each analytic non-sigma-bounded topological group G admits an increasing chain of its proper subgroups such that: ...