Articles written in Proceedings – Mathematical Sciences
Volume 105 Issue 4 November 1995 pp 381-391
We consider certain natural (ℤ2)n actions on real Grassmann and flag manifolds and
Volume 107 Issue 2 May 1997 pp 155-161
We define equivariant cyclic and Hochschild cohomology modules of a cyclic object
Volume 129 Issue 1 February 2019 Article ID 0012 Research Article
We investigate higher-order generalizations of well known results for Liealgebroids and bialgebroids. It is proved that $n$-Lie algebroid structures correspond to $n$-ary generalization of Gerstenhaber algebras and are implied by $n$-ary generalization of linear Poisson structures on the dual bundle. A Nambu–Poisson manifold (of order $n$ > 2) gives rise to a special bialgebroid structure which is referred to as a weak Lie–Filippov bialgebroid (of order $n$). It is further demonstrated that such bialgebroids canonically induce a Nambu–Poisson structure on the base manifold. Finally, the tangent space of a Nambu Lie group gives an example of a weak Lie–Filippov bialgebroid over a point.