Search Results

I am not quite sure about the reference :( I always thought of this fact as follows. Matrix elements of tensor powers of a representation U are all possible monomials in matrix elements of U, so the …

Interesting/uninteresting is a very subjective thing, so let me try to just say several things that I see immediately. 0) This algebra, unlike the Witt algebra, does not have any [obvious] grading, …

We have $$\sin\frac{\pi}{9}+\sin\frac{2\pi}9-\sin\frac{4\pi}9=\sin\frac{2\pi}{18}+\sin\frac{4\pi}{18}-\sin\frac{8\pi}{18}=\sin\frac{2\pi}{18}-\sin\frac{8\pi}{18}+\sin\frac{14\pi}{18},$$ and the latte …

To elaborate on Peter Arndt's answer a bit: indeed, considering terms as 1-cells and rewriting rules as 2-cells, you can indeed obtain a rather productive higher categorical view on various constructi …

First, let me expand on the reply of Dietrich Burde: I got hold of the paper of Hazewinkel, and can now be more precise about what is and what is not there (last time I saw it was some years ago). …

I recall seeing in various sources the terminology "cover preserving embedding" and "cover preserving subposet". Googling it now (https://www.google.com/search?q=poset+%22cover+preserving%22) brings s …

If you require just "not homeomeorphic", then there are very silly examples of all sorts. What you want to ask is "not homotopic", I suppose. For that, I know some useful references in "Which H-spac …

This is in P. M. Cohn, "On the Embedding of Rings in Skew Fields", Proceedings of the London Mathematical Society, Volume s3-11, Issue 1 (1961), Pages 511-530. I do not think that the zero characteris …

Multilinear equations are hardly easier than general equations. For instance, the multilinear equations $$ \begin{cases} x_0-x_1=0,\\ x_0x_1-x_2=0,\\ x_0x_2-x_3=0,\\ \ldots\\ x_0x_{n-1}-x_n=0 \end{c …

This is a reference request. I came across the class of nonassociative algebras satisfying the following identity: $$ (a,b,c)+\omega(b,c,a)+\omega^2(c,a,b)=0. $$ Here: by an "algebra" I mean a vect …

A quick Google search shows that most of Nieuw Arch. Wisk. is digitized; you can find the relevant volume here.

One reference where the asymptotic result you are asking for was first established (I think), as well as some reasonable growth estimates for $a_n$, is D.G.Kendall and R.A.Rankin, "On the number of A …

Disclaimer: This answer is mostly an extended comment coming from my attempt to understand the answer of BR. However, the time I invested in it made me think that someone else would find it useful. Es …

I heard of three relatively recent works in that direction, taking different routes and arriving to interesting information about diagonal invariants. First, there is the paper of Vaccarino that Dar …

Such a generalization (Dumas' theorem) was discussed here: Is a polynomial with 1 very large coefficient irreducible? A good source to learn about it is Prasolov's book on polynomials: http://tinyurl …