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Jan
1
comment Combinatorial definition of Hall–Littlewood polynomials (sum over SSYT?)
To me GZ-patterns are as good as SSYT (the bijection is straightforward anyway) — thank you, I'll take a look!
Jan
1
comment Why is $\,c^2-2bcd+b^2d^2=(c-bd)^2\,$?
have you tried just multiplying $c-bd$ by $c-bd$?
Dec
31
comment Proving $S^{4}/G$ is simply connected where $G$ is not a free group action
Your space is $\Sigma(S^3/G)$ — so it's simply connected.
Dec
31
comment Continuous bijection from $\mathbb{R}^n$ to $\mathbb{R}^m$
See en.wikipedia.org/wiki/Invariance_of_domain (there are also numerous discussions of it here on Math.SE)
Dec
31
comment Alternative proof of Wedderburn's little theorem
If you have a new question, please ask it by clicking the Ask Question button. Include a link to this question if it helps provide context.
Dec
31
comment A three variable binomial coefficient identity
LHS is $\sum\binom{i+j}i\binom{n-i}j\binom{n-j}i$. So the question about $\sum\binom{n-i}j\binom{n-j}i$ looks (somewhat) related.
Dec
31
comment Minimum of $\newcommand{\b}[1]{\bigl(#1\bigr)} \newcommand{\f}{\frac} \b{\f3a-1}^2+\b{\f ab-1}^2+\b{\f bc-1}^2+(3c-1)^2$
@ADG could you please add some better tag(s) [than 'unknown']?
Dec
31
comment Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
Actually, I don't know (beside quadratic case). You might want to ask a separate question.
Dec
31
comment Polynomial with a root modulo every prime but not in $\mathbb{Q}$.
related: is there an irreducible polynomial that has a root modulo every prime?
Dec
31
comment Evaluating $ \sum\limits_{n = 1}^{\infty}{\binom{2n}{n} \frac{1}{5^n}} $
Related: math.stackexchange.com/q/69270
Dec
30
comment How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer
@chinamath for an integer $x$ we have $x^{\downarrow k}/k!=x(x-1)...(x-k+1)/k!=x!/(x-k)!k!=\binom xk$
Dec
30
comment How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer
keywords: Weyl dimension formula, Schur polynomials, Gelfand—Zetlin patterns
Dec
30
comment How prove this $\prod_{1\le i<j\le n}\frac{a_{j}-a_{i}}{j-i}$ is integer
Combinatorial interpretation: Direct proof of Gelfand-Zetlin identity
Dec
30
comment Fixed point free Involution over topological space with infinite connectivity
$S^\infty$ ${}{}{}{}$
Dec
30
comment Why is it that an ideal is homogeneous if and only if it is generated by homogeneous elements?
It's the definition of homogeneous ideal, AFAIR. And yes, a homogeneous ideal can contain non-homogeneous elements.
Dec
29
comment Can we construct $\Bbb C$ without first identifying $\Bbb R$?
@Will How do you define a metic on an abstract alg. closure of $\mathbb Q$?
Dec
29
comment Can we construct $\Bbb C$ without first identifying $\Bbb R$?
...in particular, the answer is yes: first construct $\bar{\mathbb Q}$, then take trans. extension of size continuum.
Dec
29
comment Closed form for series $\sum_{m=1}^{N}m^n\binom{N}{m}$
@Mhenni Be it as it may, next time you learn a question you've answered is a duplicate please mark it as such.
Dec
28
comment Closed form for series $\sum_{m=1}^{N}m^n\binom{N}{m}$
@Mhenni AFAICS you're linking to an exact duplicate of this question — but instead of voting to close you're reposting a part of your old answer. That's borderline gaming the system for rep, IMO
Dec
27
comment How prove this $\sum_{k=0}^n \binom{n}{k} \binom{(p-1)n}{k} \binom{pn+k}{k} = \binom{pn}{n}^2 $
This is a special case of math.stackexchange.com/questions/280481