lieven le bruyn's blog
NeverEndingBooks-groups
Here a collection of pdf-files of NeverEndingBooks-posts on groups, in reverse chronological order.
Permutation representations of monodromy groups
The father of all beamer talks
Football representation theory
Brauer, Galois, groups, Mathieu, monster, moonshine, permutation representation, representations, symmetry| Print article | This entry was posted by lievenlb on June 11, 2007 at 2:56 pm, and is filed under groups. Follow any responses to this post through RSS 2.0. You can leave a response or trackback from your own site. |
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Seating the first few thousand Knights
about 7 months ago - No comments
The Knight-seating problems asks for a consistent placing of n-th Knight at an odd root of unity, compatible with the two different realizations of the algebraic closure of the field with two elements.
big Witt vectors for everyone (1/2)
about 7 months ago - 2 comments
Next time you visit your math-library, please have a look whether these books are still on the shelves : Michiel Hazewinkel‘s Formal groups and applications, William Fulton’s and Serge Lange’s Riemann-Roch algebra and Donald Knutson’s lambda-rings and the representation theory of the symmetric group. I wouldn’t be surprised if one or more of these books
The odd knights of the round table
about 7 months ago - No comments
Here’s a tiny problem illustrating our limited knowledge of finite fields : “Imagine an infinite queue of Knights , waiting to be seated at the unit-circular table. The master of ceremony (that is, you) must give Knights and a place at an odd root of unity, say and , such that the seat at the
Olivier Messiaen & Mathieu 12
about 8 months ago - 5 comments
To mark the end of 2009 and 6 years of blogging, two musical compositions with a mathematical touch to them. I wish you all a better 2010! Remember from last time that we identified Olivier Messiaen as the ‘Monsieur Modulo’ playing the musical organ at the Bourbaki wedding. This was based on the fact that
Seriously now, where was the Bourbaki wedding?
about 9 months ago - 3 comments
A few days before Halloween, Norbert Dufourcq (who died december 17th 1990…), sent me a comment, containing lots of useful information, hinting I did get it wrong about the church of the Bourbali wedding in the previous post. Norbert Dufourcq, an organist and student of Andre Machall, the organist-in-charge at the Saint-Germain-des-Prés church in 1939,
Where was the Bourbaki wedding?
about 10 months ago - 7 comments
I’m pretty certain I got the intended date & time of the Bourbaki-Pétard wedding right : June 3rd 1939 at 12h. Finding the exact location of the wedding-ceremony is an entirely different matter. And, quite probably, we are reading way too much in these pranks of the Weil-clan. Still, it’s fun trying to find an
maths for aspiring chatelains
about 11 months ago - 3 comments
Some French real estate agents don’t try to sell you property, but a dream. There’s nothing wrong with pursuing dreams as long as you’re doing the necessary maths. If not, your dream may soon become an horrible nightmare… Just finished reading A Chateau Of One’s Own (subtitle : “Restoration misadventures in France”) by Sam Juneau.
bloomsday, again
about 1 year ago - 2 comments
Bloomsday has a tradition of bringing drastic changes to this blog. Two years ago, it signaled a bloomsday-ending to the original neverendingbooks, giving birth (at least for a couple of months) to MoonshineMath. Last year, the bloomsday 2 post was the first of several ‘conceptual’ blog proposals, voicing my conviction that a math-blog can only
Pollock your own noncommutative space
about 1 year ago - 4 comments
I really like Matilde Marcolli’s idea to use some of Jackson Pollock’s paintings as metaphors for noncommutative spaces. In her talk she used this painting and refered to it (as did I in my post) as : Jackson Pollock “Untitled N.3”. Before someone writes a post ‘The Pollock noncommutative space hoax’ (similar to my own
E(8) from moonshine groups
about 1 year ago - 1 comment
Are the valencies of the 171 moonshine groups are compatible, that is, can one construct a (disconnected) graph on the 171 vertices such that in every vertex (determined by a moonshine group G) the vertex-valency coincides with the valency of the corresponding group? Duncan describes a subset of 9 moonshine groups for which the valencies
Hi, I'm a professor of mathematics at the University of Antwerp, in Belgium. My research areas are non-commutative algebra and non-commutative geometry. Sometimes, you can also find me here :
