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Results tagged with reference-request
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user 10881
This tag is used if a reference is needed in a paper or textbook on a specific result.
3
votes
0
answers
120
views
About finite posets without intervals of size 3
Let $P$ be a finite poset (partially ordered set).
I am wondering whether the following condition on $P$ has been studied somewhere:
(#) No interval $[a,b]$ in $P$ has $3$ elements.
Note that interv …
- 3,597
17
votes
3
answers
1k
views
is this a modular form of some kind?
I suspect that the function
$$F(q) = \sum_{n \geq 0} (2n + 1) \, q^\binom{n+1}{2}$$
may be some kind of modular form. It looks like a weighted theta function, but is not exactly an harmonic theta se …
- 3,597
4
votes
1
answer
765
views
fixed simplicial complex under group action
I have found in an article dealing with combinatorial manifolds the following definition:
Let $C$ be a finite simplicial complex, and let $G$ be a finite group acting by automorphisms of $C$. The sim …
- 2,104
3
votes
Who knows this convex polytope?
It seems to ressemble the "Self-Dual Icosioctahedron #4" :
http://dmccooey.com/polyhedra/SelfDualIcosioctahedron4.html
Some code:
sage: P = polytopes.rhombic_dodecahedron()
sage: Q = polytopes.tetr …
- 3,597
6
votes
Genus of Tutte-Coxeter Graph
According to sage, the genus is 4
sage: T = graphs.TutteCoxeterGraph()
sage: T.genus()
4
- 3,597
1
vote
Flow of an integer
As a service to the community, here are these digraphs in sage:
def divisor_graph(n):
"""
Mathoverflow 159319
"""
vert = divisors(n)
return DiGraph([(a, b, b / a) for b in vert
…
- 3,597
4
votes
Temperley-Lieb algebras for other Weyl groups?
There are some ad-hoc definitions for some types. Type B can be defined using diagrams that have a left-right symmetry. Tammo tom Dieck has proposed a definition for type D here: (http://www.uni-math. …
- 3,597
7
votes
Accepted
Riemann zeta function at positive integers and an Appell sequence of polynomials related to ...
Let $P_i$ be the power sum symmetric function. In your $p_n$, Replace $x+\gamma$ by $P_1$ and $\zeta(i)$ by $P_i$. Then divide the result by $n!$. What you get looks like a well-known symmetric functi …
- 3,597
10
votes
rational function identity
This property ( or rather the generalized version by Darij using (a,b)-shuffles ) means that f is what is called a "symmetral mould" in the context of Ecalle's theory of moulds. There is a related not …
- 3,597
13
votes
The concept of duality
Koszul duality is a useful duality. For example, one can cite
Koszul duality of quadratic algebras (due to Priddy) which is related to inversion of formal power series.
Koszul duality of quadratic o …
- 3,597
5
votes
"Modular forms from Feynman integrals "?
You may have a look here : http://people.math.jussieu.fr/~brown/K3inphi4.pdf
- 3,597
6
votes
What's about "quantum modular forms"?
There is an article Conformal Field Theory and Torsion Elements of the Bloch Group by W. Nahm in the book Frontiers in Number Theory, Physics, and Geometry II. This is a reference for one direction in …
- 3,597