Wikipedia:WikiProject Mathematics/PlanetMath Exchange/22-XX Topological groups, Lie groups

This page provides a list of all articles available at PlanetMath in the following topic:

22-XX Topological groups, Lie groups.

This list will be periodically updated. Each entry in the list has three fields:

1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:

Status	means PM article
N	not needed
A	adequately covered
C	copied
M	merged
NC	needs copying
NM	needs merging

• Please update the WP and Status fields as appropriate.
• if the WP field is correct please remove the qualifier "guess".
• If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
• If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
• If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

• {{planetmath|id=|title=}} for copied over text
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See the main page for examples and usage criteria.

One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.

22-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

• PM: \Gamma-equivariant, id=4634 -- WP guess: \Gamma-equivariant -- Status: N

Jtwdog 21:50, 26 September 2005 (UTC)

• PM: list of common topologies, id=6227 -- WP: Topological space -- Status: NM

Actually, the WParticle needs to be slighlty tweaked to follow the outline of the PM article; this is mostly an editorial change. linas 19:12, 27 Mar 2005 (UTC)

• PM: metrizable, id=1538 -- WP: metrizable -- Status: M

linas 19:02, 27 Mar 2005 (UTC)

• PM: Sorgenfrey half-open plane, id=6454 -- WP: Sorgenfrey plane -- Status: NM

Actually, only a sentance or two in the WP article needs to be added/tweaked. linas 18:52, 27 Mar 2005 (UTC)

• PM: Sorgenfrey line, id=3469 -- WP: Sorgenfrey line -- Status: A

linas 18:48, 27 Mar 2005 (UTC)

• PM: topological properties of the Sorgenfrey half-open plane, id=6461 -- WP: Sorgenfrey plane -- Status: A

linas 19:05, 27 Mar 2005 (UTC)

• PM: topological space, id=380 -- WP: topological space -- Status: A

linas 19:08, 27 Mar 2005 (UTC)

22A05 Structure of general topological groups

• PM: topological group, id=1543 -- WP: topological group -- Status: A

linas 18:16, 27 Mar 2005 (UTC)

• PM: example of a proof using nets, id=9508^new! -- WP guess: example of a proof using nets -- Status:

• PM: full subgroup, id=9367^new! -- WP guess: full subgroup -- Status:

• PM: topological group, id=7744^new! -- WP guess: topological group -- Status:

22C05 Compact groups

• PM: n-torus, id=4820 -- WP: Torus -- Status: A

linas 18:41, 27 Mar 2005 (UTC)

• PM: maximal torus, id=3937 -- WP: maximal torus -- Status: NM

linas 18:41, 27 Mar 2005 (UTC)

• PM: reductive, id=3936 -- WP: Reductive group -- Status: NM

linas 18:19, 27 Mar 2005 (UTC)

22D05 General properties and structure of locally compact groups

• PM: \Gamma-simple, id=4612 -- WP guess: \Gamma-simple -- Status: N

Jtwdog 21:55, 26 September 2005 (UTC)

22D15 Group algebras of locally compact groups

• PM: group C^*-algebra, id=3628 -- WP: Group algebra -- Status: C

Jtwdog 17:23, 28 October 2005 (UTC)

22D99 Miscellaneous

• PM: unimodular group, id=9110^new! -- WP guess: unimodular group -- Status:

22E10 General properties and structure of complex Lie groups

• PM: existence and uniqueness of compact real form, id=3932 -- WP guess: compact group -- Status: NM

Jtwdog 21:52, 26 September 2005 (UTC)

• PM: Lie group, id=1112 -- WP: Lie group -- Status: NM

linas 18:03, 27 Mar 2005 (UTC)

• PM: one-parameter subgroup, id=6583 -- WP: one-parameter subgroup -- Status: NM

linas 19:27, 27 Mar 2005 (UTC)

22E15 General properties and structure of real Lie groups

• PM: complexification, id=4646 -- WP: complexification -- Status: NM

linas 18:05, 27 Mar 2005 (UTC)

22E20 General properties and structure of other Lie groups

• PM: Hilbert-Weyl theorem, id=4323 -- WP: representations of Lie groups -- Status: A

Jtwdog 17:39, 28 September 2005 (UTC)

22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)

• PM: representation theory of \mathfrak{sl}_2 \mathbb{C}, id=7369 -- WP guess: representation theory of \mathfraksl_2 \mathbbC -- Status:

22E60 Lie algebras of Lie groups

• PM: the connection between Lie groups and Lie algebras, id=3867 -- WP: Lie group -- Status: NM

Possibly merge some content into exponential map. linas 19:23, 27 Mar 2005 (UTC)

• PM: loop algebra, id=7361 -- WP guess: loop algebra -- Status:

22F05 General theory of group and pseudogroup actions

• PM: topological transformation group, id=8955^new! -- WP guess: topological transformation group -- Status: