COHOMOLOGY OF GROUPS : EXERCISES

factorization homology, Hochschild cohomology, little disk operad, Morava E theory, Lubin-Tate spectrum, spectral sequence.. The author was partially supported by an

In this example we show how to compute the rational cohomology of the classical braid group B n with coefficients in the representation λ(q) already described in Example 2.13.. The

A la mani` ere de Pirashvili, on peut associer une cohomolo- gie de Hochschild sup´ erieure associ´ ee aux sph` eres S d d´ efinie pour toute alg` ebre commutative A et module

Prerequisites on simplicial sets (and the solution to some of the exercises below!) can be found in Waldhausen’s notes “Algebraische Topologie”, chapter 9, available

For N = 5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoï cell complexes attached to the modular groups SL N ( Z ) and GL N ( Z

In this case, the zeroth Hochschild cohomology group is given by the center of the algebra, which, in the case of factorizable ribbon Hopf algebras, will appear later because it

(iv) The map Ds gives another construction of the Poincare-Cartan form e for a class of Lagrangians in the multivariate higher order calculus of variations.. Section

In this paper we compute the cohomology of all Artin groups associated to finite Coxeter groups, with coefficients in the following module Rq : let R :=.. Q[q, ] be