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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 4th 2022
   • (edited May 4th 2022)
   • PermaLink
   Author: Urs
   Format: MarkdownItexthe minimum of an Idea-section <a href="https://ncatlab.org/nlab/revision/Brillouin+torus/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Brillouin+torus">current</a>

   the minimum of an Idea-section

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 14th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added pointer ([here](https://ncatlab.org/nlab/show/Brillouin+torus#References)) to CMT references mentioning the dual lattice $Hom(\Lambda, \mathbb{Z})$. For an explicit mentioning of the resulting torus $Hom(\Lambda,\mathbb{R})/Hom(\Lambda/\mathbb{Z})$ I have trouble finding a reference predating Freed & Moore 2013. <a href="https://ncatlab.org/nlab/revision/diff/Brillouin+torus/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Brillouin+torus/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Brillouin+torus">current</a>

   I have added pointer (here) to CMT references mentioning the dual lattice $Hom(\Lambda, \mathbb{Z})$.

   For an explicit mentioning of the resulting torus $Hom(\Lambda,\mathbb{R})/Hom(\Lambda/\mathbb{Z})$ I have trouble finding a reference predating Freed & Moore 2013.

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeAug 29th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to the original article: * [[Léon Brillouin]], *Les électrons libres dans les métaux et le role des réflexions de Bragg*, J. Phys. Radium **1** (1930) 377-400 &lbrack;[doi:10.1051/jphysrad:01930001011037700](https://doi.org/10.1051/jphysrad:01930001011037700)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/Brillouin+torus/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/Brillouin+torus/5">v5</a>, <a href="https://ncatlab.org/nlab/show/Brillouin+torus">current</a>

   added pointer to the original article:

   • Léon Brillouin, Les électrons libres dans les métaux et le role des réflexions de Bragg, J. Phys. Radium 1 (1930) 377-400 [doi:10.1051/jphysrad:01930001011037700]

   diff, v5, current