Toukaiddine Petit

collaborators

3 papers

math-ph2005

Note on The Cohomology of Color Hopf and Lie Algebras

Xiao-Wu Chen, Toukaiddine Petit, Freddy Van Oystaeyen

Let $A$ be a $(G, χ)$ -Hopf algebra with bijection antipode and let $M$ be a $G$ -graded $A$ -bimodule. We prove that there exists an isomorphism \mathrm{HH}^*_{\rm gr}(A, M)\cong{\rm…

math.RT2005

Note on The Generalized Derivation Tower Theorem for Lie algebras

Toukaiddine Petit

We provide an algorithm for decomposing a finite-dimensional Lie algebra over a field of characteristic 0 permitting to generalize the derivation tower theorem for Lie algebras, is…

math.RA2004

Good Reduction of Good Filtrations at Places

Toukaiddine Petit, Freddy Van Oystaeyen

We consider filtered or graded algebras $A$ over a field $K$ . Assume that there is a discrete valuation $O_{v}$ of $K$ with $m_{v}$ its maximal ideal and $k_{v} := O_{v} / m_{v}$ its residue fie…