caa a22 4500 606161007 CHVBK 20210128100632.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10468-015-9526-y doi (NATIONALLICENCE)springer-10.1007/s10468-015-9526-y Differentials for Lie algebras [Elektronische Daten] [Jochen Kuttler, Arturo Pianzola] We develop a theory of relative Kähler differentials for Lie algebras. The main result is that the functor of relative differentials is representable, and that the universal object which represents it behaves properly with respect to étale base change. We illustrate how our construction yields a detailed analysis of the structure of derivations of multiloop algebras which is needed for the construction of Extended Affine Lie Algebras. Springer Science+Business Media Dordrecht, 2015 Relative Kähler differentials of Lie algebras nationallicence Twisted form nationallicence Centroid nationallicence Faithfully flat descent nationallicence Kuttler Jochen Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada aut Pianzola Arturo Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada aut Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 941-960 1386-923X 18:4<941 2015 18 10468 https://doi.org/10.1007/s10468-015-9526-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10468-015-9526-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kuttler Jochen Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada aut NATIONALLICENCE 700 1- Pianzola Arturo Department of Mathematical and Statistical Sciences, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada aut NATIONALLICENCE 773 0- Algebras and Representation Theory Springer Netherlands 18/4(2015-08-01), 941-960 1386-923X 18:4<941 2015 18 10468