# The greatest mathematical paper of all time

@article{Coleman1989TheGM, title={The greatest mathematical paper of all time}, author={Amos J. Coleman}, journal={The Mathematical Intelligencer}, year={1989}, volume={11}, pages={29-38} }

ConclusionWhy do I think that Z.v.G.II was an epoch-making paper?(1)It was the paradigm for subsequent efforts to classify the possible structures for any mathematical object. Hawkins [15] documents the fact that Killing’s paper was the immediate inspiration for the work of Cartan, Molien, and Maschke on the structure of linearassociative algebras which culminated in Wedderburn’s theorems. Killing’s success was certainly an example which gave Richard Brauer the will to persist in the attempt to…

## 26 Citations

### A Centennial: Wilhelm Killing and the Exceptional Groups

- Mathematics
- 1990

In his article [3] in the Mathematical Intelligencer (vol. 11, no. 3) A. John Coleman gives a colorful biography of the mathematician Wilhelm Killing and offers an admiring appraisal of his paper…

### Lie Groups

- Mathematics
- 2011

An important and often beautiful aspect of mathematics is the ability to combine distinct ideas in a way that either extends them or results in a brand new theory entirely. In the late 19th century,…

### Root system-Wikipedia

- Mathematics
- 2018

In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental in the theory of Lie groups and Lie algebras,…

### The Evolution of Coxeter-Dynkin Diagrams

- Mathematics
- 1994

‘Dynkin diagrams’ or ‘Coxeter-Dynkin diagrams’ are graphs whose vertices and edges represent generators and relations (respectively) for so-called Coxeter groups. The generators have period two, and…

### Formalising lie algebras

- MathematicsCPP
- 2022

The formalisation of Lie algebras in Lean's Mathlib library is reported on, making it possible to state the classification theorem for finite-dimensional semisimple Lie alagbras over an algebraically closed field of characteristic zero.

### Invariant Tensors and the Cyclic Sieving Phenomenon

- MathematicsElectron. J. Comb.
- 2016

A large class of examples of the cyclic sieving phenomenon is constructed by expoiting the representation theory of semi-simple Lie algebras by taking M to be the defining representation of $\mathrm{SL}(n)$.

### A bridge over a Hamiltonian path

- History
- 2001

Please send all submissions to Mathematical Tourist Editor, Dirk Huylebrouck, Aar~shertogstraat 42, 8400 9 Belgium e-mail: dirk.huylebrouck@ping.be very year on the 16th of October, a group of people…

### Root systems and diagram calculus. II. Quadratic forms for the Carter diagrams

- Mathematics
- 2010

For any Carter diagram $\Gamma$ containing 4-cycle, we introduce the partial Cartan matrix $B_L$, which is similar to the Cartan matrix associated with a Dynkin diagram. A linkage diagram is obtained…

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