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

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22-XX Topological groups, Lie groups.

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[edit] 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)

[edit] 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:

[edit] 22A30 Other topological algebraic systems and their representations

[edit] 22Axx Topological and differentiable algebraic systems

[edit] 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)

[edit] 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)

[edit] 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)

[edit] 22D99 Miscellaneous

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

[edit] 22Dxx Locally compact groups and their algebras

[edit] 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)

[edit] 22E15 General properties and structure of real Lie groups

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

linas 18:05, 27 Mar 2005 (UTC)

[edit] 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)

[edit] 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:

[edit] 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:

[edit] 22E65 Infinite-dimensional Lie groups and their Lie algebras

[edit] 22E67 Loop groups and related constructions, group-theoretic treatment

[edit] 22E70 Applications of Lie groups to physics; explicit representations

[edit] 22Exx Lie groups

[edit] 22F05 General theory of group and pseudogroup actions

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

[edit] 22Fxx Noncompact transformation groups