The multigraded Nijenhuis-Richardson Algebra, its universal property and application

We define two $(n+1)$ graded Lie brackets on spaces of multilinear mappings. The first one is able to recognize $n$-graded associative algebras and their modules and gives immediately the correct differential for Hochschild cohomology. The second one recognizes $n$-graded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology

The multigraded Nijenhuis-Richardson Algebra, its universal property and application

Abstract. We define two (n + 1) graded Lie brackets on spaces of multilinear mappings. The first one is able to recognize n-graded associative algebras and their modules and gives immediately the correct differential for Hochschild cohomology. The second one recognizes n-graded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology. 1

North-Holland THE MULTIGRADED NIJENHUIS-RICHARDSON ALGEBRA, ITS UNIVERSAL PROPERTY AND APPLICATIONS

Abstract. We define two (n + 1) graded Lie brackets on spaces of multilinear mappings. The first one is able to recognize n-graded associative algebras and their modules and gives immediately the correct differential for Hochschild cohomology. The second one recognizes ngraded Lie algebra structures and their modules and gives rise to the notion of Chevalley cohomology. 1

Moeglichkeiten und Wege der Reduzierung des Elektroenergieverbrauches bei der Fluidfoerderung - speziell Fluessigkeitsfoerderung

Available as manuscript MS 1303/85 from VCH Verlagsges., Weinheim (Germany, F.R.) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman