Theorie der Transformationsgruppen¶
Lie, S. Theorie der Transformationsgruppen.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Commutativity
- non-commuting observables satisfy Heisenberg's uncertainty principle (position and momentum have \([x, p] = i\hbar\)); commutator algebra in Lie groups and Lie algebras, where Lie (1888) developed the bracket structure capturing infinitesimal non-commutativity
This source1. Leipzig: Teubner, 1888 (3 vols., 1888–1893). Develops the bracket structure of infinitesimal transformations (Lie bracket) capturing infinitesimal non-commutativity — supports the commutator-algebra-in-Lie-groups claim.
Supported in partVerified against the work's full text
Lie and Engel define the bracket (XY) = XYf - YXf of infinitesimal transformations and use it to characterise groups; Heisenberg's uncertainty principle is outside this source.
“Ausdrücke von der Form X{Y{f)) — Y{X{f)) im Folgenden immer häufiger auftreten, wollen wir schreiben”
- non-commuting observables satisfy Heisenberg's uncertainty principle (position and momentum have \([x, p] = i\hbar\)); commutator algebra in Lie groups and Lie algebras, where Lie (1888) developed the bracket structure capturing infinitesimal non-commutativity
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:a48cb001a964 · see in the full table