On polynomial products in nilpotent and solvable Lie groups
Author:
Karel Dekimpe
Journal:
Proc. Amer. Math. Soc. 131 (2003), 973978
MSC (1991):
Primary 22E15
Published electronically:
July 17, 2002
MathSciNet review:
1937436
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Abstract: We are dealing with Lie groups which are diffeomorphic to , for some . After identifying with , the multiplication on can be seen as a map . We show that if is a polynomial map in one of the two (sets of) variables or , then is solvable. Moreover, if one knows that is polynomial in one of the variables, the group is nilpotent if and only if is polynomial in both its variables.
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Additional Information
Karel Dekimpe
Affiliation:
Katholieke Universiteit Leuven, Campus Kortrijk, B8500 Kortrijk, Belgium
Email:
Karel.Dekimpe@kulak.ac.be
DOI:
http://dx.doi.org/10.1090/S0002993902065723
PII:
S 00029939(02)065723
Keywords:
Nilpotent and solvable Lie groups
Received by editor(s):
March 9, 2001
Received by editor(s) in revised form:
October 23, 2001
Published electronically:
July 17, 2002
Additional Notes:
This research was conducted while the author was a Postdoctoral Fellow of the Fund for Scientific Research – Flanders (F.W.O.)
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2002
American Mathematical Society
