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Questions of the kind "What's the name for a X that satisfies property Y?"

4 votes

Are there any other examples where "weak" and "strong" are confused in mathematics?

As an example where the adjectives "weak" and "strong" refer to hypotheses, rather than conclusions, a favorite of mine is (Gelfand-Pettis) "weak" vector-valued integrals, as juxtaposed to (Bochner) " …
paul garrett's user avatar
8 votes

Why limit of discrete series representation?

These repns are not actually "discrete series", in that they do not appear in $L^2(G)$. Yet their construction/description is completely parallel to that of the discrete family of repns called "discre …
paul garrett's user avatar
0 votes

The name of special 16-dimensional hypercomplex number

Isn't this an example of a Clifford algebra attached to a quadratic form? It seems so to me, though maybe the intention has some quirks... but, if so, it is certainly associative, and its structure as …
paul garrett's user avatar
3 votes

What do you call a scaled orthogonal map?

"Orthogonal similitude" would be consistent with a very-common use of "symplectic similitude" (in automorphic forms and repn theory) for $g\in GL_n$ such that $g^\top J g=\nu(g)\cdot J$ for skew-symme …
paul garrett's user avatar
56 votes
Accepted

What is the difference between an automorphic form and a modular form?

Very briefly: until work of Hans Maass c. 1949, "modular" or "automorphic" both referred to holomorphic functions invariant-up-to-cocycle (that is, invariant holomorphic sections of a bundle) on a quo …
paul garrett's user avatar