Designing for Geometrical Symmetry Exploitation

Designing for geometrical symmetry exploitation

Symmetry exploiting software based on the generalized Fourier transform (GFT) is presented from a practical design point of view. The algorithms and data structures map closely to the relevant mathematical abstractions, which primarily are based upon representation theory for groups. Particular care has been taken in the design of the data layout of the performance sensitive numerical data stru...

Designing Filters for Circular Symmetry Detection . . . . . . . . . . . . . . . 33

D-branes and geometrical kappa-symmetry

New extended superspaces associated with topological charge algebras of the D-brane are used to construct D-brane actions without worldvolume gauge fields. The actions are shown to be kappa-symmetric under an appropriately chosen right group action.

Cyclic Symmetry in Geometrical Nonlinear Analysis

Numerical exploitation of symmetry in integral equations

Linear integral operators describing physical problems on symmetric domains often are equivariant, which means that they commute with certain symmetries, i.e., with a group of orthogonal transformations leaving the domain invariant. Under suitable discretizations the resulting system matrices are also equivariant. A method for exploiting this equivariance in the numerical solution of linear equ...