Timeline for What are some examples of non-commutative $\mathbb{Q}$-monoids and/or $\mathbb{R}$-monoids?
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Jun 8, 2015 at 17:32 | comment | added | Ben Wieland | For the $\mathbb Q$ version to work it is important that the group to be nilpotent, so that the exponential preserve rational matrices. . . There is a smaller, though perhaps not simpler, non-commutative Lie group, the affine group $ax+b$. The exponential is still a bijection, so it gives an $\mathbb R$-group, but the exponential does not preserve rational elements. It contains $\mathbb Q$-monoids, but they are more complicated. | |
Jun 4, 2015 at 15:11 | history | edited | André Henriques | CC BY-SA 3.0 |
added 35 characters in body
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Jun 4, 2015 at 11:31 | history | answered | André Henriques | CC BY-SA 3.0 |