{\displaystyle {\mathrm {Spin} }(n).} Clifford bundle Clifford module bundle Orthonormal frame bundle Spin geometry Spinor Spinor representation Friedrich, Thomas (2000)...
3 KB (398 words) - 05:09, 17 December 2023
tensors, a spinor transforms to its negative when the space rotates through 360° (see picture). It takes a rotation of 720° for a spinor to go back to...
72 KB (9,924 words) - 08:41, 19 August 2024
Dirac operator (redirect from Harmonic spinor)
case of the Atiyah–Singer–Dirac operator acting on sections of a spinor bundle. For a spin manifold, M, the Atiyah–Singer–Dirac operator is locally defined...
9 KB (1,251 words) - 18:47, 29 April 2024
a spin structure on an orientable Riemannian manifold (M, g) allows one to define associated spinor bundles, giving rise to the notion of a spinor in...
29 KB (4,369 words) - 00:20, 27 February 2024
differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine...
15 KB (2,949 words) - 01:17, 12 February 2024
infinite rank vector bundle; this is the symplectic spinor construction due to Bertram Kostant. A section of the symplectic spinor bundle Q {\displaystyle...
4 KB (501 words) - 02:46, 16 April 2020
a spinor bundle. In fact, on a Spin manifold, every Clifford module is obtained by twisting the spinor bundle. The notion "Clifford module bundle" should...
3 KB (356 words) - 17:44, 29 January 2024
being an integrability condition so that the Frobenius theorem applies. Spinor bundle All of these constructions are due to Ehresmann (1941-3). Attributed...
11 KB (1,705 words) - 00:42, 23 January 2024
corresponding to a given point group. Clifford algebra Clifford analysis Spinor Spinor bundle Spin structure Table of Lie groups Anyon Orientation entanglement Pin...
27 KB (4,183 words) - 01:55, 27 July 2024
variety of Projective pure spinors, or simple spinor variety, of dimension m(m + 1)/2. (Another description of the pure spinor variety is as OGr + ( m...
21 KB (3,540 words) - 18:24, 23 July 2024