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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 2nd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded a sentence to this otherwise empty entry. But it remains a stub <a href="https://ncatlab.org/nlab/revision/diff/triality/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/triality/2">v2</a>, <a href="https://ncatlab.org/nlab/show/triality">current</a>

   added a sentence to this otherwise empty entry. But it remains a stub

   diff, v2, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 31st 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * Tonny A. Springer, Ferdinand D. Veldkamp, chapter 3 of _Octonions, Jordan Algebras, and Exceptional Groups_, Springer Monographs in Mathematics, 2000 will add this pointer also to other related entries <a href="https://ncatlab.org/nlab/revision/diff/triality/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/triality/3">v3</a>, <a href="https://ncatlab.org/nlab/show/triality">current</a>

   added pointer to

   • Tonny A. Springer, Ferdinand D. Veldkamp, chapter 3 of Octonions, Jordan Algebras, and Exceptional Groups, Springer Monographs in Mathematics, 2000

   will add this pointer also to other related entries

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJun 19th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * David Tong, Carl Turner, _Notes on 8 Majorana Fermions_ ([arXic:1906.07199](https://arxiv.org/abs/1906.07199)) <a href="https://ncatlab.org/nlab/revision/diff/triality/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/triality/5">v5</a>, <a href="https://ncatlab.org/nlab/show/triality">current</a>

   added pointer to today’s

   • David Tong, Carl Turner, Notes on 8 Majorana Fermions (arXic:1906.07199)

   diff, v5, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 19th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexin order to fill this entry with more life, I have copied over from _[[Spin(8)]]_ the section on triality of subgroups of $Spin(8)$ and $SO(8)$ (now [here](https://ncatlab.org/nlab/show/triality#TrialityOfSubgroupsOfSpin8)) <a href="https://ncatlab.org/nlab/revision/diff/triality/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/triality/5">v5</a>, <a href="https://ncatlab.org/nlab/show/triality">current</a>

   in order to fill this entry with more life, I have copied over from Spin(8) the section on triality of subgroups of $Spin(8)$ and $SO(8)$ (now here)

   diff, v5, current