Table of Contents
Introduction 1
1. Preliminaries 4
2. The Tensor Product Realization 16
3. The Dominant Weights of ®MV{wuXr) 38
4. The Dominant Weights of V(A, Xr) 45
5. Dimensions and Polynomials 56
6. Stability of gr(®M'V(uuXr)) ® gr(®M"V(ui,Xr)) 60
7. Stability of V(\,Xr) g V(\',Xr) 71
8. Multiplicities of the Dominant Weights of V ^ A , ^ ) 82
9. Algorithms and Examples 95
Notation 154
References 161
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