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Oct
26
comment Strongly connected graph and the eigenvalues of the laplacian matrix
so you see, the laplacian has one eigenvalue 0, and 2 conjugate complex eignevalues, each with multiplicity 3.
Oct
26
comment Strongly connected graph and the eigenvalues of the laplacian matrix
sure, see the edited answer
Oct
26
revised Strongly connected graph and the eigenvalues of the laplacian matrix
addded the matrix for the example
Oct
25
answered Strongly connected graph and the eigenvalues of the laplacian matrix
Oct
14
comment notation for vector product in the space
@WillieWong surely, $\times$ is overused, but using it on vectors does not clash with using it on scalars, or on sets (or other things one can Cartesian-multiply). As opposed to two different meanings of $\wedge$ for vectors...
Oct
13
comment notation for vector product in the space
of course in the exterior algebra of $\mathbb{R}^3$ one has that $a\wedge b\wedge c$ is a scalar, so this identification cannot go too far. So you tell undergrads that they shouldn't think of $a\wedge b\wedge c$, and then in multivariate calculus in $\mathbb{R}^n$ you all of a sudden start talking about $a\wedge b\wedge c$?
Oct
13
comment notation for vector product in the space
Exterior product is associative, and the vector product is not. Thus I don't get how they can be identified...
Oct
13
asked notation for vector product in the space
Oct
7
comment On the theory of infinite extraspecial $p$-groups
Philip, if $a^2=b^2=(ab)^2=1$ then $ab=ba$, and you get an abelian group.
Oct
3
awarded  Self-Learner
Oct
3
comment asymptotic for the number of involutions in GL(n,2)
OK, I think I'm being lazy, I should just sit down and calculate :-)
Oct
3
comment asymptotic for the number of involutions in GL(n,2)
Well, I only did such things for ordinary hypergeometric functions, not for basic hypergeometric ones, like here. Any place to look for these things?
Oct
3
comment asymptotic for the number of involutions in GL(n,2)
I added a formula for each of [n/2] terms (plus the term for k=0, which should be 1, assuming $|GL_0(k)|=1$) in the question, but it does not look routine...
Oct
3
revised asymptotic for the number of involutions in GL(n,2)
added a formula
Oct
3
revised asymptotic for the number of involutions in GL(n,2)
added 61 characters in body
Oct
2
answered asymptotic for the number of involutions in GL(n,2)
Oct
1
comment Name for an operation on matrices?
what are these $B_{j[1]}$, $B_{j[2]}$, etc?
Oct
1
comment Computer algebra system for Weyl algebra computations
you can run singular on cloud.sagemath.com
Sep
30
comment asymptotic for the number of involutions in GL(n,2)
John, this paper talks a lot about solutions of $X^2=0$ in upper triangular matrices over a finite field, but does not mention $GL$.
Sep
30
comment asymptotic for the number of involutions in GL(n,2)
yes I did. No such sequence is known, apparently.