Timeline for Terminology for nilpotent groups
Current License: CC BY-SA 2.5
7 events
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May 25, 2010 at 16:41 | comment | added | Jim Humphreys |
P.S. Using a familiar word in this situation is tricky, but it's harmless for repeated reference to say something like "Write $d(x) :=i$ " without making up a word.
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May 25, 2010 at 14:56 | comment | added | Jim Humphreys |
@Theo: All of these standard single words seem ambiguous in this specialized context. The closest might be "degree" if interpreted as "graded degree" in the associated grading. Otherwise it's probably clearer just to write $x \in \mathfrak{n}_i \setminus \mathfrak{n}_{i-1}$ .
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May 25, 2010 at 7:22 | answer | added | Yiftach Barnea | timeline score: 1 | |
May 24, 2010 at 23:21 | comment | added | Theo Johnson-Freyd | Certainly "level" is going to conflict with many other notions. If MSA's suggestion "order" is unavailable, I'd maybe use "length" or "power". | |
May 24, 2010 at 17:38 | answer | added | Jim Humphreys | timeline score: 3 | |
May 24, 2010 at 15:40 | comment | added | Mariano Suárez-Álvarez | I would call it the "nilpotent order", as I usually call "order" of an element the index of smallest layer of the filtration which contains it, because I like differential operators. | |
May 24, 2010 at 15:37 | history | asked | Matt Noonan | CC BY-SA 2.5 |