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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?"
13
votes
Accepted
Coxeter groups - Parabolic subgroups
(This at any rate is the kind of answer given to the terminology question raised with Mostow at a conference I attended decades ago.) …
- 52.9k
5
votes
Mostow's theorem on algebraic groups
Mostow's theorem actually has a relatively modern textbook treatment, by his early collaborator Gerhard Hochschild: see Theorem 4.3 in VIII.4 of his book Basic Theory of Algebraic Groups and Lie Algeb …
10
votes
What's the origin of the naming convention for the standard basis of $\mathfrak{sl}_2(\mathb...
Both terminology and notation in Lie theory have varied over time, but as far
as I know the letter H comes up naturally (in various fonts) as the next
letter after G in the early development of Lie groups … traditional names are
not quite right: "Cartan subalgebras" and such arose in work of Killing,
while the "Killing form" seems due to Cartan (as explained by Armand Borel,
who accidentally introduced the terminology …
- 52.9k
3
votes
Terminology for nilpotent groups
I'm less familiar with terminology in the theory of Lie rings and abstract nilpotent groups. …
- 52.9k
7
votes
Is there a name for the involution on Laurent polynomials?
I think the answer to the original question is that there is no special name for the involution (otherwise it would have turned up by now). My first encounter with it was in the 1979 Kazhdan-Lusztig …
5
votes
What are examples of mathematical concepts named after the wrong people? (Stigler's law)
Many of the examples mentioned go back to earlier centuries, when insulated national traditions and slow communications promoted mistaken labelling of results and concepts. A much more recent exampl …
4
votes
Accepted
Hilbert's Finiteness Theorem for connected semisimple Lie groups in Weyl's "Classical Groups"
Your basic question about a reference does go back to Weyl's complete reducibility theorem (I'd have to check his book on classical groups, but it isn't just a result about classical Lie groups). F …
- 52.9k
9
votes
German term for "restricted Lie algebra" ?
The correct answer to the narrow question asked about terminology has been given by quid, but I'm tempted to add some broader semi-historical remarks as well. … As usual, the development of mathematical notation and terminology is somewhat arbitrary but complicated. …
- 52.9k
14
votes
Accepted
Why are they called Spherical Varieties?
Marty is definitely correct about the origin of the terminology in the study of homogeneous spaces $G/H$ of reductive Lie groups. …
18
votes
Accepted
Why are they called Specht Modules?
Terminology in mathematics develops a bit haphazardly, and sometimes things get misleading names. … Anyway, one might make a case for the terminology "James module" here, but it's too late for that. Specht himself had no special influence on the modular theory. …
- 52.9k
7
votes
Accepted
Origin of the term "weight" in representation theory
As usual with terminology such as "weight", the history reaches back into nineteenth century's invariant theory (Cayley, G. … The history is not at all easy to untangle, but I think Hawkins was thorough in his study of the development of ideas along with terminology. …
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