Erratum: Clebsch–Gordan coefficients for crystal space groups

Interactive Visualisation of Full Geometric Description of Crystal Space Groups

In this text we present a software tool that visualises the symmetry properties of the space groups of 3D Euclidean space, which play an important role in the investigation of crystalline materials. The main source that lists the properties of all space groups are the “International Tables For Crystallography, Volume A” [1], where the symmetries are shown in three orthographic projections. It i...

Three Vector Generation of Crystal Space Groups in Geometric Algebra

This paper focuses on the symmetries of crystal space lattices. All two dimensional (2D) and three dimensional (3D) point groups of 2D and 3D crystal cells are exclusively described by vectors (two in 2D, three in 3D for one particular cell) taken from the physical cells. Geometric multiplication of these vectors completely generates all symmetries, including reflections, rotations, inversions,...

Littlewood–Richardson coefficients for reflection groups

Article history: Received 21 June 2012 Received in revised form 7 June 2015 Accepted 23 July 2015 Available online xxxx Communicated by Roman Bezrukavnikov

Confounded coefficients: Accurately comparing logit and probit coefficients across groups

The logit and probit models are critical parts of the management researcher's analytical arsenal. We often want to know if a covariate has the same effect for different groups, e.g., foreign and domestic firms. Unfortunately, many attempts to compare the effect of covariates across groups make the unwarranted assumption that each group has the same residual variation. If this is not the case, c...

Erratum