Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

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 finite 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics 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 sheaves 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

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 10th 2019

    added mentioning of the first two exceptional isos Sp(1)Spin(3)Sp(1) \simeq Spin(3) and Sp(2)Spin(5)Sp(2) \simeq Spin(5)

    diff, v2, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 19th 2019

    added cross-pointer


    A Riemannian manifold of dimension 4n4n is called a quaternion-Kähler manifold if its holonomy group is a subgroup of the direct product group Sp(n)×Sp(1)Sp(n) \times Sp(1).

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorJohn Baez
    • CommentTimeJan 18th 2023

    There’s a lot more about this group on another page, so I added this:

    This group is also called the compact symplectic group, since both it and the symplectic group are real forms of the a complex Lie group. See more at compact symplectic group.

    diff, v11, current

    • CommentRowNumber4.
    • CommentAuthorJohn Baez
    • CommentTimeJan 18th 2023

    I improved the page a bit more.

    diff, v11, current