caa a22 4500 386385513 CHVBK 20180307112057.0 cr unu---uuuuu 161130e198907 xx s 000 0 eng 10.1017/S0305004100067980 doi S0305004100067980 pii (NATIONALLICENCE)cambridge-10.1017/S0305004100067980 Segal Dan All Souls College, Oxford 0X1 4AL On the automorphism groups of certain Lie algebras [Elektronische Daten] [Dan Segal] We fix a ground field k and a finite separable extension K of k. To a Lie algebra L over k is associated the Lie algebra KL = K k L over K. If we forget the action of K, we can think of KL as a larger Lie algebra over k; in particular we can ask what is the automorphism group Autk KL of KL as a k-algebra. There does not seem to be any simple answer to this question in general; the purpose of this note is to give a simple condition on L which makes Autk KL quite easy to determine. Examples of algebras which satisfy this condition include the free nilpotent Lie algebras and the algebras of all n × n triangular nilpotent matrices. Copyright © Cambridge Philosophical Society 1989 Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/1(1989-07), 67-76 0305-0041 106:1<67 1989 106 PSP https://doi.org/10.1017/S0305004100067980 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0305004100067980 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Segal Dan All Souls College, Oxford 0X1 4AL NATIONALLICENCE 773 0- Mathematical Proceedings of the Cambridge Philosophical Society Cambridge University Press 106/1(1989-07), 67-76 0305-0041 106:1<67 1989 106 PSP CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge