24 lines
1.8 KiB
Markdown
24 lines
1.8 KiB
Markdown
---
|
||
title: "The Classical Groups"
|
||
chunk: 1/1
|
||
source: "https://en.wikipedia.org/wiki/The_Classical_Groups"
|
||
category: "reference"
|
||
tags: "science, encyclopedia"
|
||
date_saved: "2026-05-05T08:43:46.222532+00:00"
|
||
instance: "kb-cron"
|
||
---
|
||
|
||
The Classical Groups: Their Invariants and Representations is a mathematics book by Hermann Weyl published in 1939. The book describes classical invariant theory in terms of representation theory. It is largely responsible for the revival of interest in invariant theory, which had been almost killed off by David Hilbert's solution of its main problems in the 1890s.
|
||
The second edition was published in 1946. Weyl gave an informal talk about the topic of his book in 1939.
|
||
|
||
|
||
== Reception ==
|
||
Roger Howe called the book "wonderful and terrible".
|
||
|
||
|
||
== References ==
|
||
Howe, Roger (1988), "The classical groups and invariants of binary forms", in Wells, R. O. Jr. (ed.), The mathematical heritage of Hermann Weyl (Durham, NC, 1987), Proc. Sympos. Pure Math., vol. 48, Providence, R.I.: American Mathematical Society, pp. 133–166, ISBN 978-0-8218-1482-6, MR 0974333
|
||
Howe, Roger (1989), "Remarks on classical invariant theory.", Transactions of the American Mathematical Society, 313 (2), American Mathematical Society: 539–570, doi:10.2307/2001418, ISSN 0002-9947, JSTOR 2001418, MR 0986027
|
||
Jacobson, Nathan (1940), "Book Review: The Classical Groups", Bulletin of the American Mathematical Society, 46 (7): 592–595, doi:10.1090/S0002-9904-1940-07236-2, ISSN 0002-9904, MR 1564136
|
||
Weyl, Hermann (1939), The Classical Groups. Their Invariants and Representations, Princeton University Press, ISBN 978-0-691-05756-9, MR 0000255 {{citation}}: ISBN / Date incompatibility (help)
|
||
Weyl, Hermann (1939a), "Invariants", Duke Mathematical Journal, 5 (3): 489–502, doi:10.1215/S0012-7094-39-00540-5, ISSN 0012-7094, MR 0000030 |