Invariant bases for free Lie rings

被引：10
|
作者：
Bryant, RM
Kovács, LG
Stöhr , R
机构：
[1] UMIST, Dept Math, Manchester M60 1QD, Lancs, England
[2] Australian Natl Univ, Sch Math Sci, Canberra, ACT 0200, Australia
来源：
QUARTERLY JOURNAL OF MATHEMATICS | 2002年 / 53卷
关键词：
D O I：
10.1093/qjmath/53.1.1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let L denote the free Lie ring of rank 2r with free generators x(i), y(i) (1 less than or equal to i less than or equal to r), and let tau be the automorphism of L that interchanges x(i) and y(i) for all i. We construct a Z-basis of L that consists of pairs of elements which are interchanged by tau, and elements upon which tau acts as multiplication by -1.
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页码：1 / 17
页数：17
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