It's fun to discover this MUSIC theory equation - embedded into unified field noncommutative math - this originates from Alain Connes
Watch/Listen to Connes' new music math vid! music analysis.
https://mathoverflow.net/questions/69074/the-origin-of-the-musical-isomorphisms Marcel Berger says he does not remember...
Noncommutative geometry, mainly pioneered by A. Connes (see [25,31]), is based on ...... x M (or ClTxM using the musical isomorphism X ∈ TM ↔ X♭ ∈ T∗M).
A. Connes. Sel. math. ..... The abelian locally compact group Ck is (noncanonically) isomorphic to K ×N. where ... We choose (noncanonically) an isomorphism ...... the obvious existence of signals (a recorded music piece for instance) which for.
So it is now "spread" into noncommutative math simply is the phrase:
a canonical (musical) isomorphism
theorem, any commutative C∗-algebra A is canonically isomorphic to the algebra of .... 1-forms on M with sections of the Clifford bundle, through the musical.
Mar 13, 2017 - Noncommutative geometry, as initiated by Alain Connes, is an ...... ideal in Cl(V ), be a Clifford-module isomorphism, which we know exists by ...... tion of the musical isomorphism defined by g, and the representation ρ (hence.
Jul 13, 2010 - It has a (non commutative) algebra structure with respect to the tensor ... a canonical (musical) isomorphism between V and its dual V ∗, which ...
Mar 9, 2017 - First, note that there are many manifestations of the hyperfinite I I 1 factor, but it turns out that they are all isomorphic. I will thus interpret your ...
Oct 30, 2012 - The title of this post, the music of spheres, refers to a talk The music of shapes which I gave in Lille, on the 26th of September, on the occasion ...
Missing: clifford isomorph
7.1 Crossed products, the T-C isomorphism and the P-V sequence . 109. 7.1.1 Crossed .... CONTENTS. 1. Clifford algebras and spinor representations. 250. 1.1.
4.1.1 Clifford Algebras . . . . . . . . . . . . . . . . . . . . . . . . 83 .... terpret all of this work as a noncommutative version of differential geometry was a French ..... On the other hand, let Φ be an algebra ∗-isomorphism from A to itself, and consider the ...... The maps, known as the flat, and sharp, musical isomorphisms respectively, are.
No comments:
Post a Comment