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 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 nforum 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).

nLab > Latest Changes: Iwasawa decomposition

Bottom of Page

1 to 5 of 5

  1.  
    • CommentRowNumber1.
    • CommentAuthorzskoda
    • CommentTime3 days ago

    Wrote rough description.

    diff, v2, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTime3 days ago

    touched wording, formatting and hyperlinking

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorzskoda
    • CommentTime3 days ago

    Iwasawa decomposition is not strictly speaking generalizing the QR-decomposition of matrices as it is not (only) a decomposition of matrices, it has more to the statement. And also less in my understanding, as QR-decomposition is not only for square but for rectangular matrices and no invertibility like in Lie theory is assumed. Thus I would keep a bit more careful wording than saying that it is a generalization.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTime3 days ago

    Better to clarify what you mean then.

    • CommentRowNumber5.
    • CommentAuthorzskoda
    • CommentTime3 days ago

    There is also a quantum group version, discussed e.g. in

    • Branislav Jurčo, P. Šťovíček, Quantum dressing orbits on compact groups, Commun. Math. Physics 152 (1993) 97

1 to 5 of 5

  1.