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This tag is used if a reference is needed in a paper or textbook on a specific result.

14 votes
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affine Kac-Moody algebras

I am a big fan of Carter's book. It's very nicely laid out and I found it quite easy to read. Here's an older reference: Kass, Moody, Patera, and Slansky's "Affine Lie Algebras, Weight Multiplicities …
Bill Cook's user avatar
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13 votes
4 answers
2k views

Three-dimensional simple Lie algebras over the rationals

I ran into this question on math.stackexchange.com "How many 3 dimensional simple Lie algebras are there over the rationals?" The question has been sitting idle for a long time. I thought it was inter …
Bill Cook's user avatar
  • 1,197
4 votes

Integral representation of higher order derivatives

Hello, I happened upon your question and noticed that your integrals look a lot like fractional derivatives. I think they provide the generalization you're looking for. http://en.wikipedia.org/wiki …
Bill Cook's user avatar
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3 votes
Accepted

twisted affine algebras

To add to what Carnahan has posted. There is a difference between the representation theories of untwisted and twisted affine algebras. But they seem to be unified through vertex algebra theory. Vert …
Bill Cook's user avatar
  • 1,197
8 votes
3 answers
4k views

n-dimensional "cross product" reference request

I have written a paper which involves a "cross product" in $\mathbb{R}^n$ and I would like to have a reference to point to. Let ${\bf e_1}, \dots, {\bf e_n}$ be the standard basis for $\mathbb{R}^n$ …
Bill Cook's user avatar
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