Comments for The Unapologetic Mathematician
https://unapologetic.wordpress.com
Mathematics for the interested outsiderThu, 16 Nov 2017 01:36:13 +0000hourly1http://wordpress.com/Comment on All Derivations of Semisimple Lie Algebras are Inner by John Armstrong
https://unapologetic.wordpress.com/2012/09/11/all-derivations-of-semisimple-lie-algebras-are-inner/#comment-57455
Thu, 16 Nov 2017 01:36:13 +0000http://unapologetic.wordpress.com/?p=10828#comment-57455I don’t have my library immediately at hand, but it’s a pretty standard result in the representation theory of Lie Algebras, and I’d think most textbooks would contain it. Humphreys probably does, but I’d have to look it up to be certain.
]]>Comment on All Derivations of Semisimple Lie Algebras are Inner by Peter
https://unapologetic.wordpress.com/2012/09/11/all-derivations-of-semisimple-lie-algebras-are-inner/#comment-57453
Wed, 15 Nov 2017 21:20:14 +0000http://unapologetic.wordpress.com/?p=10828#comment-57453I do get the proof, but do you have some reference for this?
]]>Comment on Simply-Connected Spaces and Cohomology by John Armstrong
https://unapologetic.wordpress.com/2011/12/17/simply-connected-spaces-and-cohomology/#comment-57415
Thu, 09 Nov 2017 15:59:24 +0000http://unapologetic.wordpress.com/?p=10025#comment-57415Or… you could actually click through that link (this one, just to help you out a little more) and learn about the generalization of Stokes’ theorem to all other dimensions, which subsumes the divergence theorem, the fundamental theorem of calculus, and more!
]]>Comment on Simply-Connected Spaces and Cohomology by Kalejandro
https://unapologetic.wordpress.com/2011/12/17/simply-connected-spaces-and-cohomology/#comment-57414
Thu, 09 Nov 2017 14:11:12 +0000http://unapologetic.wordpress.com/?p=10025#comment-57414This is wrong, Stokes theorem doesn´t say that, the theorem is just for (n-1)-forms in n-dimensional manifolds, so what is proven here works only for 2-dimensional manifolds.
]]>Comment on The Higgs Mechanism part 4: Symmetry Breaking by Las matemáticas del bosón de Higgs, para las abuelas cansadas de cháchara (Parte I) | Bosón de Higgs | La Ciencia de la Mula Francis
https://unapologetic.wordpress.com/2012/07/19/the-higgs-mechanism-part-4-symmetry-breaking/#comment-57386
Wed, 01 Nov 2017 11:07:23 +0000http://unapologetic.wordpress.com/?p=10570#comment-57386[…] July 17, “The Higgs Mechanism part 3: Gauge Symmetries,” July 18, y “The Higgs Mechanism part 4: Symmetry Breaking,” July 19. Recomiendo una lectura a estas […]
]]>Comment on The Higgs Mechanism part 3: Gauge Symmetries by Las matemáticas del bosón de Higgs, para las abuelas cansadas de cháchara (Parte I) | Bosón de Higgs | La Ciencia de la Mula Francis
https://unapologetic.wordpress.com/2012/07/18/the-higgs-mechanism-part-3-gauge-symmetries/#comment-57385
Wed, 01 Nov 2017 11:05:52 +0000http://unapologetic.wordpress.com/?p=10508#comment-57385[…] “The Higgs Mechanism part 2: Examples of Lagrangian Field Equations,” July 17, “The Higgs Mechanism part 3: Gauge Symmetries,” July 18, y “The Higgs Mechanism part 4: Symmetry Breaking,” July 19. Recomiendo […]
]]>Comment on The Higgs Mechanism part 2: Examples of Lagrangian Field Equations by Las matemáticas del bosón de Higgs, para las abuelas cansadas de cháchara (Parte I) | Bosón de Higgs | La Ciencia de la Mula Francis
https://unapologetic.wordpress.com/2012/07/17/the-higgs-mechanism-part-2-examples-of-lagrangian-field-equations/#comment-57384
Wed, 01 Nov 2017 11:03:24 +0000http://unapologetic.wordpress.com/?p=10550#comment-57384[…] Mathematician en “The Higgs Mechanism part 1: Lagrangians,” July 16, “The Higgs Mechanism part 2: Examples of Lagrangian Field Equations,” July 17, “The Higgs Mechanism part 3: Gauge Symmetries,” July 18, y “The […]
]]>Comment on The Higgs Mechanism part 1: Lagrangians by Las matemáticas del bosón de Higgs, para las abuelas cansadas de cháchara (Parte I) | Bosón de Higgs | La Ciencia de la Mula Francis
https://unapologetic.wordpress.com/2012/07/16/the-higgs-mechanism-part-1-lagrangians/#comment-57383
Wed, 01 Nov 2017 10:55:49 +0000http://unapologetic.wordpress.com/?p=10494#comment-57383[…] la teoría clásica de campos. Nos lo cuenta The Unapologetic Mathematician en “The Higgs Mechanism part 1: Lagrangians,” July 16, “The Higgs Mechanism part 2: Examples of Lagrangian Field Equations,” […]
]]>Comment on Construction of the F4 Root System by jhrabows
https://unapologetic.wordpress.com/2010/03/09/construction-of-the-f4-root-system/#comment-57341
Wed, 25 Oct 2017 01:25:53 +0000http://unapologetic.wordpress.com/?p=5457#comment-57341The 2 Hexacons that make up G2 are 2 copies of the root system A2. Similarly the 2 24-cells which make up F4 are 2 copies of the root system D4. In other words, F4 is just 2 copies of D4 (described elsewhere in this blog) and rotated so that each vertex of the short-D4 is aligned with the center of an octahedron face of the long-D4 (again in analogy to how G2 hexagons are aligned).
]]>Comment on Construction of E-Series Root Systems by Catisfluffy
https://unapologetic.wordpress.com/2010/03/10/construction-of-e-series-root-systems/#comment-57246
Tue, 10 Oct 2017 16:21:09 +0000http://unapologetic.wordpress.com/?p=5474#comment-57246I’d like to note that the E8 polytope is neither regular (it has both simplex and orthoplex facets) or a polyhedron (the term appears to be polyzetton).
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