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Some new relations on skew Schur function differences are established both combinatorially using Schützenberger’s jeu de taquin, and algebraically using Jacobi-Trudi determinants. These relations lead to the conclusion that certain differences of skew Schur functions are Schur positive. Applying these results to a basis of symmetric functions involving… (More)

- T. A. Welsh, D. J. Rowe
- Computer Physics Communications
- 2016

- M. A. Caprio, T. A. Welsh
- 2009

The SO(5)⊃ SO(3) spherical harmonics form a natural basis for expansion of nuclear collective model angular wave functions. They underlie the recently-proposed algebraic method for diagonalization of the nuclear collective model Hamiltonian in an SU(1, 1)× SO(5) basis. We present a computer code for explicit construction of the SO(5)⊃ SO(3) spherical… (More)

- Ronald C. King, T. A. Welsh
- Electr. J. Comb.
- 2007

Coloured generalised Young diagrams T (w) are introduced that are in bijective correspondence with the elements w of the Weyl-Coxeter group W of g, where g is any one of the classical affine Lie algebras g = A (1) ` , B (1) ` , C (1) ` , D (1) ` , A (2) 2` , A (2) 2`−1 or D (2) `+1. These diagrams are coloured by means of periodic coloured grids, one for… (More)

- Debra R Rolison, Robert J. Nowak, T. A. Welsh, Christopher G. Murray
- Talanta
- 1991

A review is given of past and potential analytical and other applications of electrodes overlayered with zeolites.

- M. A. Caprio, D. J. Rowe, T. A. Welsh
- Computer Physics Communications
- 2009

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