caa a22 4500 386359873 CHVBK 20180307111912.0 cr unu---uuuuu 161130e198908 xx s 000 0 eng 10.1017/S0004972700003488 doi S0004972700003488 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700003488 On Witt's dimension formula for free Lie algebras and a theorem of Klyachko [Elektronische Daten] It is shown that Witt's basic dimension formula and a more recent result of Klyachko imply each other. Then Klyachko's identities between certain idempotents in the group ring of Sn are supplemented by identities involving Wever's classical idempotent. This leads to a direct proof of Klyachko's theorem (and hence Witt's formula), avoiding any commutator collecting process. Furthermore, this approach explains why the Witt dimensions are numbers which otherwise occur when "counting necklaces”. Copyright © Australian Mathematical Society 1989 Blessenohl D. Mathematisches Seminar der Universität Ludewig-Meyn-Str. 4 D 2300 Kiel 1 West Germany Laue H. Dipartimento di Matematica Università degli Studi Via Arnesano 1-73100 Lecce, Italy. Bulletin of the Australian Mathematical Society Cambridge University Press 40/1(1989-08), 49-57 0004-9727 40:1<49 1989 40 BAZ https://doi.org/10.1017/S0004972700003488 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700003488 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Blessenohl D. Mathematisches Seminar der Universität Ludewig-Meyn-Str. 4 D 2300 Kiel 1 West Germany NATIONALLICENCE 700 1- Laue H. Dipartimento di Matematica Università degli Studi Via Arnesano 1-73100 Lecce, Italy NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 40/1(1989-08), 49-57 0004-9727 40:1<49 1989 40 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge