## 27 Citations

Les matrices : formes de représentations et pratiques opératoires (1850-1930).

- Art
- 2006

De meme que, dans les mathematiques contemporaines, les matrices sont susceptibles de representer une diversite d'objets algebriques, leur histoire se joue sur une longue periode, dans des contextes…

Käte Hey and Margaret Matchett—Two Women PhD Students of Emil Artin

- Education
- 2017

The renowned mathematician Emil Artin supervised 31 doctoral students during his career, two of whom were women. His first doctoral student, Kate Hey, completed her PhD at the University of Hamburg…

A history of Galois fields

- Mathematics
- 2016

This paper stresses a specific line of development of the notion of finite field, from Evariste Galois's 1830 ''Note sur la theorie des nombres,'' and Camille Jordan's 1870 Traite des substitutions…

Geometry and foundations of quantum mechanics

- Physics
- 2014

This thesis explores three notions in the foundations of quantum mechanics: mutually unbiased bases (MUBs), symmetric informationally-complete positive operator valued measures (SICs) and contextua…

Characters and Representations After 1897

- Mathematics
- 2013

Frobenius’ papers of 1896–1897 marked the beginning of a new theory, a theory that continued to evolve in various directions for over a half-century. Frobenius himself, along with Burnside, made…

Class Field Theory

- Mathematics
- 2013

(a) If p ramifies in Q(ζm), then p | m; the ramification index ep of the primes over p is φ(p) = (p− 1)pk−1 if p ‖ m. (b) The prime p is wildly ramified in Q(ζm) if and only if p | m. (c) If p m,…

How to compute the Wedderburn decomposition of a finite-dimensional associative algebra

- MathematicsGroups Complex. Cryptol.
- 2011

Abstract This is a survey paper on algorithms that have been developed during the last 25 years for the explicit computation of the structure of an associative algebra of finite dimension over either…

The Scope and Limitations of Algebras: Some Historical and Philosophical Considerations

- Mathematics
- 2011

Abstract An important feature of mathematics, both pure and applied, during the nineteenth century was the widening from its common form to a proliferation, where the “objects” studied were not…

## References

SHOWING 1-10 OF 80 REFERENCES

Eliakim Hastings Moore and the founding of a mathematical community in America, 1892–1902

- History
- 1984

Summary In 1892, Eliakim Hastings Moore accepted the task of building a mathematics department at the University of Chicago. Working in close conjuction with the other original department members,…

Sir William Rowan Hamilton

- Physics
- 1980

One of the most imaginative mathematicians of the nineteenth century, Sir William Rowan Hamilton (1805--1865) changed the course of modern algebra with his discovery of quaternions in 1843. Although…

The art and the science of British algebra: A study in the perception of mathematical truth

- Mathematics
- 1980

Benjamin Peirce's Linear Associative Algebra

- MathematicsIsis
- 1979

This work has been the pleasantest mathematical effort of my life. In no other have I seemed to myself to have received so full a reward for my mental labor in the novelty and breadth of the results.…

Weierstrass and the theory of matrices

- Mathematics
- 1977

The following essay is the third in a series devoted to the history of the theory of matrices.1 In [1975 a] I related Cauchy's important memoir on the characteristic roots of a real quadratic form to…

New light on Frobenius' creation of the theory of group characters

- History
- 1974

In an earlier paper [1971] I sketched the background to Frobenius' creation of the theory of group characters and sought to determine the role played therein by Richard Dedekind. An important source…