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- In [[algebra]], the '''commutator''' of two elements of an [[algebraic structure]] is a measure of whether th In a [[group theory|group]], written multiplicatively, the commutator of elements ''x'' and ''y'' may be defined as1 KB (217 words) - 15:16, 11 December 2008
- 100 bytes (16 words) - 15:49, 5 December 2008
- 150 bytes (19 words) - 15:06, 11 December 2008
- #REDIRECT [[Commutator#Group theory]]37 bytes (4 words) - 12:25, 8 November 2008
- 89 bytes (12 words) - 15:07, 14 November 2008
- 853 bytes (136 words) - 15:18, 11 December 2008

## Page text matches

- #REDIRECT [[Commutator#Group theory]]37 bytes (4 words) - 12:27, 8 November 2008
- #REDIRECT [[Commutator#Group theory]]37 bytes (4 words) - 12:25, 8 November 2008
- In [[algebra]], the '''commutator''' of two elements of an [[algebraic structure]] is a measure of whether th In a [[group theory|group]], written multiplicatively, the commutator of elements ''x'' and ''y'' may be defined as1 KB (217 words) - 15:16, 11 December 2008
- ...roup]] is characteristic because an automorphism permutes the generating [[commutator]]s2 KB (358 words) - 02:37, 18 November 2008
- * [[Commutator]]695 bytes (102 words) - 19:40, 31 January 2009
- ...''commutator'' electrically connected to two ''brushes'' that slide as the commutator turns. As the loop flips over, the current is kept circling in the correct3 KB (402 words) - 12:34, 12 March 2011
- {{r|Commutator subgroup}}997 bytes (156 words) - 14:41, 14 November 2008
- {{r|Commutator}}1 KB (180 words) - 17:00, 11 January 2010
- {{r|Commutator}}1 KB (174 words) - 20:03, 11 January 2010
- * [[Commutator (electric)]]2 KB (160 words) - 01:36, 19 November 2007
- {{r|Commutator}}2 KB (247 words) - 06:00, 7 November 2010
- ...commute]] then the conjugate of ''x'' by ''y'' is just ''x'' again. The [[commutator]] of ''x'' and ''y'' can be written as2 KB (294 words) - 04:53, 19 November 2008
- ...' matrices over a field '''k''' together with the [[commutator#Ring theory|commutator]] of matrix multiplication, i.e. <math>[A,B]=A\circ B -B\circ A</math>. A ...onically isomorphic to the left-invariant [[vector field]]s on ''G''. The commutator of two left-invariant vector fields is again left-invariant and moreover ''12 KB (1,918 words) - 20:29, 22 December 2011
- ...fold]] ''M''. The anchor map is here the identity and the Lie bracket the commutator bracket of vector fields. ...y be extended to ''G''-left invariant tangent vector fields on ''G''. The commutator bracket of two left-invariant vector fields is again left-invariant. Also16 KB (2,719 words) - 04:11, 7 October 2013
- The Pauli matrices obey the following [[commutator|commutation]] and [[anticommutator|anticommutation]] relations: ...these rules. A set of symbols with a defined sum and a product taken as a commutator of the symbols is called a [[Lie algebra]].<ref name=LieAlgebra> For a math7 KB (1,096 words) - 05:49, 17 October 2013
- {{r|Commutator subgroup}}4 KB (631 words) - 07:56, 15 November 2008
- In particular, subgroups like the [[centre of a group|center]], the [[commutator subgroup]], the [[Frattini subgroup]] are examples of characteristic, and h5 KB (785 words) - 09:22, 30 July 2009
- ...''' we can ask for homomorphisms to associative algebras (endowed with the commutator bracket). The universal enveloping algebra '''U'''('''g''') is now defined4 KB (670 words) - 21:07, 22 December 2011
- Two operators, ''Q'' and ''R'', are said to commute, if their commutator [''Q'', ''R''] is the zero operator, i.e., if8 KB (1,273 words) - 11:29, 9 July 2009
- ...tainty principle applies to all quantum mechanical operators that do not [[commutator|commute]].<ref name=Petrosyan/> In particular, it applies also to the elect ...tum field and the vector potential do not commute. That is, the equal-time commutator is:<ref name=Compagno/>19 KB (2,820 words) - 09:33, 18 February 2012