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Results tagged with terminology
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user 4231
Questions of the kind "What's the name for a X that satisfies property Y?"
9
votes
1
answer
1k
views
Optimal definition of "paving by affine spaces"?
Cell decompositions have been used in topology for a long time as a tool in computing cohomology, but the notion in algebraic geometry and arithmetic geometry of paving by affine spaces (or "affine pa …
- 52.9k
50
votes
5
answers
9k
views
What role does the "dual Coxeter number" play in Lie theory (and should it be called the "Ka...
While trying to get some perspective on the extensive literature about highest weight modules for affine Lie algebras relative to "level" (work by Feigin, E. Frenkel, Gaitsgory, Kac, ....), I run into …
- 52.9k
5
votes
2
answers
1k
views
Origin of notion of "split Grothendieck group"?
In the construction of Soergel's bimodules in representtion theory , it's essential for him to work with split Grothendieck groups. Here he starts with a certain small additive category $\mathcal{A} …
- 52.9k
13
votes
0
answers
766
views
Is there a reasonable way to define "reductive Lie algebra" in prime characteristic?
Among the finite dimensional Lie algebras over a field of characteristic 0, there is a sensible definition of "reductive Lie algebra" going back at least to the 1960 first chapter of N. Bourbaki's tre …
- 52.9k
13
votes
0
answers
737
views
Earliest use of the term "linearly reductive"?
It's unclear to me why this terminology is so popular, since over a field of characteristic 0 it's equivalent to "reductive algebraic group". …
- 52.9k
65
votes
6
answers
9k
views
Origin of terms "flag", "flag manifold", "flag variety"?
These terms have become common in Lie theory and related algebraic geometry and combinatorics, as seen in many questions posted on MO, but it's unclear to me where they first came into use. Probably …
- 52.9k