Joseph H. M. Wedderburn and the structure theory of algebras

@article{Parshall1985JosephHM,
  title={Joseph H. M. Wedderburn and the structure theory of algebras},
  author={Karen Hunger Parshall},
  journal={Archive for History of Exact Sciences},
  year={1985},
  volume={32},
  pages={223-349}
}
  • K. Parshall
  • Published 1 September 1985
  • Mathematics
  • Archive for History of Exact Sciences
View on Springer
27 Citations
Highly Influential Citations
2
Background Citations
3
Methods Citations
1

27 Citations

Citation Type

Citation Type

Cayley , Sylvester , and Early Matrix Theory Higham
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Geometry and foundations of quantum mechanics
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
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
(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
  • M. Bremner
  • Mathematics
    Groups 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
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…
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References

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Eliakim Hastings Moore and the founding of a mathematical community in America, 1892–1902
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,…
Early criticism of the symbolical approach to algebra
Wilhelm killing and the structure of lie algebras
George Peacock and the British origins of symbolical algebra
Sir William Rowan Hamilton
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
Benjamin Peirce's Linear Associative Algebra
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
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
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…
Gesammelte Abhandlungen : auf Grund einer Bewilligung aus dem norwegischen Forschungsfonds von 1919 mit Unterstützung der Videnskapsakademi zu Oslo und der Akademie der Wissenschaften zu Leipzig
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