Over the last two weeks Ive ported all old neverendingbooks-post from the last 4 years to a nearly readable format. Some tiny problems remain : a few TeX-heavy old posts are still in $…$ format rather than LaTeXrender-compatible (but Ill fix this soon), a few links may turn out to be dead (still have to check out those), TheLibrary-project links do not exist at the moment (have to decide whether to revive the project or to start a similar idea afresh), some other techie-things such as FoaF-stuff will be updated/expanded soon, et. etc. (and still have to port some 20 odd posts).
Anyway, the good news being that we went from about 40 posts since last july to over 310 posts, all open to the internal Search engine. Having all this stuff online is only useful if one can browse through it easily, so I wanted to install a proper up-to-date archive-plugin…
The current theme Redoable has build-in support for the Extended Live Archives v0.10beta-r18 plugin which would be ideal if I could get it installed… Im not the total newbie in installing WordPress-plugins and Ive read all the documentation and the support-forum and chmodded whathever I felt like chmodding, but still no success… If you know how to kick it into caching the necessary files, please drop a comment!
The next alternative Ive tried was the AWSOM Archive Version 1.2.3 plugin which gave me a pull-down menu just under the title-bar but not much seems to happen when using bloody Safari (Flock was OK though). Maybe Ill give it another go…
UPDATE (jan. 9th) : The AWSOM Archive seems to be working fine with the Redoable theme when custom installed in the footer. So, there is now a pulldown-menu at the bottom of the page.
**UPDATE (jan. 12th) : Ive installed the new version 1.3 of AWSOM Archive and it works from the default position **
At a loss I opted in the end for the simplest (though not the most aesthetic) plugin : Justin Blanton’s Smart Archives. This provides a year-month scheme at the top followed by a reverse ordered list of all months and titles of posts and is available as the arXiv neverendingbooks link available also from the sidebar (up, second link). I hope it will help you not to get too lost on this site…
Suggestions for a working-from-the-box WordPress Archive plugin, anyone???
4 Comments
, so a big step forward would be to know all its
cubic
form an affine closed subvariety of 
is a
where 
is a basechange matrix. In categorical terms, we are only
-action
acts and there is a natural one-to-one
is not a smooth variety so there is not a
becomes a scalar matrix, say 
. But then, 
is a solution to
of 
.
. The modular group acts by Mobius
. Finally, using
are commutative manifolds (possibly having
the representations of finite quivers Q. A quiver
. The sub-semigroup of 
(all
satisfying the numerical condition 
is generated by six dimension vectors,![S_1 = \xymatrix@=.4cm{ & & & & \vtx{1} \\ \vtx{1} \ar[rrrru]^1
\ar[rrrrd] \ar[rrrrddd] & & & & \\ & & & & \vtx{0} \\ \vtx{0}
\ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ & & & & \vtx{0}} \qquad
S_2 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{0} \ar[rrrru] \ar[rrrrd]
\ar[rrrrddd] & & & & \\& & & & \vtx{1} \\\vtx{1} \ar[rrrruuu]
\ar[rrrru]^1 \ar[rrrrd] & & & & \\ & & & & \vtx{0}}](http://www.math.ua.ac.be/~lebruyn/latexrender/pictures/
a59961f7695f6a329d40347aa9f16498.gif "S_1 = \xymatrix@=.4cm{ & &
& & \vtx{1} \\ \vtx{1} \ar[rrrru]^1 \ar[rrrrd] \ar[rrrrddd] & & & & \\ &
& & & \vtx{0} \\ \vtx{0} \ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ &
& & & \vtx{0}} \qquad S_2 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{0}
\ar[rrrru] \ar[rrrrd] \ar[rrrrddd] & & & & \\& & & & \vtx{1} \\\vtx{1}
\ar[rrrruuu] \ar[rrrru]^1 \ar[rrrrd] & & & & \\ & & & & \vtx{0}}")
![S_3 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{1} \ar[rrrru]
\ar[rrrrd] \ar[rrrrddd]^1 & & & & \\ & & & & \vtx{0} \\ \vtx{0}
\ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ & & & & \vtx{1}} \qquad
S_4 = \xymatrix@=.4cm{ & & & & \vtx{1} \\ \vtx{0} \ar[rrrru] \ar[rrrrd]
\ar[rrrrddd] & & & & \\ & & & & \vtx{0} \\ \vtx{1} \ar[rrrruuu]^1
\ar[rrrru] \ar[rrrrd] & & & & \\ & & & & \vtx{0}}](http://www.math.ua.ac.be/~lebruyn/latexrender/pictures/
2bf710496d35295d2ae9b7a3322d0fab.gif "S_3 = \xymatrix@=.4cm{ & &
& & \vtx{0} \\ \vtx{1} \ar[rrrru] \ar[rrrrd] \ar[rrrrddd]^1 & & & & \\ &
& & & \vtx{0} \\ \vtx{0} \ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ &
& & & \vtx{1}} \qquad S_4 = \xymatrix@=.4cm{ & & & & \vtx{1} \\ \vtx{0}
\ar[rrrru] \ar[rrrrd] \ar[rrrrddd] & & & & \\ & & & & \vtx{0} \\ \vtx{1}
\ar[rrrruuu]^1 \ar[rrrru] \ar[rrrrd] & & & & \\ & & & & \vtx{0}}")
![S_5 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{1} \ar[rrrru]
\ar[rrrrd]^1 \ar[rrrrddd] & & & & \\ & & & & \vtx{1} \\ \vtx{0}
\ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ & & & & \vtx{0}} \qquad
S_6 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{0} \ar[rrrru] \ar[rrrrd]
\ar[rrrrddd] & & & & \\ & & & & \vtx{0} \\ \vtx{1} \ar[rrrruuu]
\ar[rrrru] \ar[rrrrd]^1 & & & & \\ & & & & \vtx{1}}](http://www.math.ua.ac.be/~lebruyn/latexrender/pictures/
59fe70dac8703efdbb3f8abb19188d9e.gif "S_5 = \xymatrix@=.4cm{ & &
& & \vtx{0} \\ \vtx{1} \ar[rrrru] \ar[rrrrd]^1 \ar[rrrrddd] & & & & \\ &
& & & \vtx{1} \\ \vtx{0} \ar[rrrruuu] \ar[rrrru] \ar[rrrrd] & & & & \\ &
& & & \vtx{0}} \qquad S_6 = \xymatrix@=.4cm{ & & & & \vtx{0} \\ \vtx{0}
\ar[rrrru] \ar[rrrrd] \ar[rrrrddd] & & & & \\ & & & & \vtx{0} \\ \vtx{1}
\ar[rrrruuu] \ar[rrrru] \ar[rrrrd]^1 & & & & \\ & & & & \vtx{1}}")
containing an open subset of
. The normal space
where 
and Q is the quiver of the following![\xymatrix{ &
\vtx{g_1} \ar@/^/[ld]^{C_{16}} \ar@/^/[rd]^{C_{12}} & \\ \vtx{g_6}
\ar@/^/[ru]^{C_{61}} \ar@/^/[d]^{C_{65}} & & \vtx{g_2}
\ar@/^/[lu]^{C_{21}} \ar@/^/[d]^{C_{23}} \\ \vtx{g_5}
\ar@/^/[u]^{C_{56}} \ar@/^/[rd]^{C_{54}} & & \vtx{g_3}
\ar@/^/[u]^{C_{32}} \ar@/^/[ld]^{C_{34}} \\ & \vtx{g_4}
\ar@/^/[lu]^{C_{45}} \ar@/^/[ru]^{C_{43}} & }](http://www.math.ua.ac.be/~lebruyn/latexrender/pictures/
ec5bfddac46a6eed7dbbd791918b9aed.gif "\xymatrix{ & \vtx{g_1}
\ar@/^/[ld]^{C_{16}} \ar@/^/[rd]^{C_{12}} & \\ \vtx{g_6}
\ar@/^/[ru]^{C_{61}} \ar@/^/[d]^{C_{65}} & & \vtx{g_2}
\ar@/^/[lu]^{C_{21}} \ar@/^/[d]^{C_{23}} \\ \vtx{g_5}
\ar@/^/[u]^{C_{56}} \ar@/^/[rd]^{C_{54}} & & \vtx{g_3}
\ar@/^/[u]^{C_{32}} \ar@/^/[ld]^{C_{34}} \\ & \vtx{g_4}
\ar@/^/[lu]^{C_{45}} \ar@/^/[ru]^{C_{43}} & }")
fit
block-decomposition of the base-change matrix B
, then for every
-dimensional representations of the quiver Q, then the corresponding
is
we may
and 
. Now, representations of finite cyclic groups are
with g the
is a
we have found 5 vector spaces 
and 
so we would like them to correspond to the vertices
) of the quiver Q which![\xymatrix{ &
& & & \vtx{b_1} \\ \vtx{a_1} \ar[rrrru]^(.3){B_{11}}
\ar[rrrrd]^(.3){B_{21}} \ar[rrrrddd]_(.2){B_{31}} & & & & \\ & & & &
\vtx{b_2} \\ \vtx{a_2} \ar[rrrruuu]_(.7){B_{12}} \ar[rrrru]_(.7){B_{22}}
\ar[rrrrd]_(.7){B_{23}} & & & & \\ & & & & \vtx{b_3}}](http://www.math.ua.ac.be/~lebruyn/latexrender/pictures/
26a8254b3e45806da1b86a09e0fb0c95.gif "\xymatrix{ & & & &
\vtx{b_1} \\ \vtx{a_1} \ar[rrrru]^(.3){B_{11}} \ar[rrrrd]^(.3){B_{21}}
\ar[rrrrddd]_(.2){B_{31}} & & & & \\ & & & & \vtx{b_2} \\ \vtx{a_2}
\ar[rrrruuu]_(.7){B_{12}} \ar[rrrru]_(.7){B_{22}}
\ar[rrrrd]_(.7){B_{23}} & & & & \\ & & & & \vtx{b_3}}")
