Script Reference
bruhat.at
Definitions
| Name | Signature | Description |
|---|---|---|
| descend | s,KGBElt x)=[KGBElt]: | |
| bruhat_leq | x,KGBElt y)=bool: | |
| bruhat_geq | x,KGBElt y)=bool:bruhat_leq(y,x) | |
| bruhat_leq | x)=[KGBElt]: ##for y in KGB(x.real_form) do if bruhat_leq(x,y) then [y] else [] fi od | |
| bruhat_geq | x)=[KGBElt]: ##for y in KGB(x.real_form) do if bruhat_geq(x,y) then [y] else [] fi od | |
| bruhat_leq | G)=[[bool]]: | |
| bruhat_geq | G)=[[bool]]: | |
| bruhat | x,KGBElt y)=bool:bruhat_leq(x,y) | |
| bruhat | G)=[[bool]]:bruhat_leq(G) | |
| show_bruhat_leq | G)=void: | |
| show_bruhat_geq | G)=void: | |
| show_bruhat | G)=void:show_bruhat_leq(G) | |
| lengthens | s,WeylElt w)=bool: | |
| shortens | s,WeylElt w)=bool:not lengthens(s,w) | |
| bruhat_W_leq | x,WeylElt y)=bool: | |
| bruhat_W_geq | x,WeylElt y)=bool:bruhat_W_leq(y,x) | |
| bruhat_W | x,WeylElt y)=bool:bruhat_W_leq(x,y) | |
| bruhat | x,WeylElt y)=bool:bruhat_W(x,y) | |
| sort_by_length | = ([WeylElt] -> [WeylElt]): | |
| sort_by_length_descending | = ([WeylElt] -> [WeylElt]): | |
| show_bruhat_W_leq | rd)=void: | |
| show_bruhat_W_geq | rd)=void: | |
| show_bruhat_W | rd)=void:show_bruhat_W_leq(rd) | |
| show_bruhat | rd)=void:show_bruhat_W_leq(rd) |