10
votes
Accepted
What are double groups mathematically?
As far as I can tell, a double group is a double cover of a group. Specifically, if $G \subset \operatorname{SO}(n)$ is a group acting by rotations of $n$-dimensional space, its double group is the ...
- 54.6k
9
votes
Accepted
Character theory and Quantum Chemistry
Introducing groups into quantum theory, by Erhard Scholz (2006):
In quantum chemistry, representations of permutation groups made their
first appearance about the same time as they did in ...
- 188k
8
votes
On mathematical studies of the Mpemba effect
Since this question is still open, I take the liberty of pointing to a recent survey of the status of the Mpemba effect, Pathological Water Science -- Four Examples and What They Have in Common, which ...
- 188k
5
votes
Character theory and Quantum Chemistry
I think this realization is an immediate consequence of that of the efficiency of group theory in the quantum theory of angular momentum.
The early culprits for the Gruppenpest are Weyl in his 1931 ...
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