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Results tagged with reference-request
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user 10475
This tag is used if a reference is needed in a paper or textbook on a specific result.
8
votes
2
answers
805
views
Reference request for Hecke operators for principal congruence subgroup of modular group
I am looking for references that discuss Hecke operators $T_n$ acting on modular forms
for the principal congruence subgroup $\Gamma(N)$ of the modular group $SL(2,Z)$ and am happy to restrict to the …
- 5,546
37
votes
Is the Mendeleev table explained in quantum mechanics?
I am not offended by the suggestion that physicists should follow the standards of mathematical proof,
but I think this suggestion and the phrasing of the question demonstrate a lack of understanding …
- 5,546
0
votes
0
answers
24
views
Reference request for the determinant of a matrix constructed from Pascal's triangle
One can prove by induction that the matrix $M^{(n)}$ given by
$$ \begin{pmatrix}
1 & 1 & 1 & 1 & \dots & \binom{n}{0} \\
1 & 2 & 3 & 4 & \dots & \binom{n+1}{1} \\
1 & 3 & 6 & 10 & \dots & \binom{n+2}{ …
- 5,546
2
votes
Meaning of a phrase from "The algebra of grand unified theories".
I suspect part of the confusion is due to the fact that the $SU(2)$ appearing in the Standard Model gauge group $U(1)\times SU(2) \times SU(3)$ is different from the $SU(2)$ of the Cassen-Condon paper …
- 5,546
39
votes
Mathematician trying to learn string theory
Many string theorists would like to know more algebraic geometry. There are a few of us who know algebraic geometry at a pretty high level (not me) but many more who would like to learn more and feel …
6
votes
2
answers
1k
views
What is the modern understanding of the order of a mock theta function?
Ramanujan introduced mock theta functions and described them by an "order" which he did not define. As a result of the work of Zwegers and others we now have a better understanding of mock theta funct …
- 5,546
7
votes
The proof that a vertex algebra can lead to a Wightman QFT
You might find "An Introduction to Conformal Field Theory" by M. Gaberdiel (arXiv:hep-th/9910156v2) useful. He has a brief discussion of how in some cases chiral algebras can be assembled into Conform …
- 5,546
9
votes
Accepted
Dimensional regularization in odd dimensions
There a number of papers by Alain Connes on Dimensional Regularization (Dim Reg) in the context of noncommutative field theory. Some of his papers cite
P. Breitenlohner and D. Maison, "Dimensional re …
- 5,546
10
votes
Example for non equivalent rational full CFTs with same modular invariant (partition function)
I have no idea what a ``symmetric haploid Frobenius algebra" is, so my answer may be terribly naive, but given an even-self dual lattice of rank $d$ there is a well known lattice construction of a rat …
- 5,546
8
votes
Is there a relation between 4-dimensional general relativity and exotic smooth structures on...
Regarding the first part of this question, in four spacetime dimensions there are no known generic violations of the cosmic censorship hypothesis while above four dimensions there is good evidence tha …
- 5,546