Content deleted Content added
Wavelength (talk | contribs) inserting hyphens—wikt:finite-dimensional |
Tag: gettingstarted edit |
||
Line 27:
*Ch(''F''(''w''λ)) is the character of the Demazure module ''F''(''w''λ).
*''P'' is the weight lattice, and '''Z'''[''P''] is its group ring.
*<math>\rho</math> is the sum of fundamental weights and the dot action is defined by <math>w\cdot u=w(u+\rho)-\rho</math>.
*Δ<sub>α</sub> for α a root is the endomorphism of the '''Z'''-module '''Z'''[''P''] defined by
:<math>\Delta_\alpha(u) = \frac{u-s_\alpha \cdot u}{1-e^{-\alpha}}</math>
:and Δ<sub>''j''</sub> is Δ<sub>α</sub> for α the root of ''s''<sub>''j''</sub>
| |||