Sym Paclet SymbolTutorials »|See Also »|More About »

RadicalR

RadicalR[L]
gives the Radical of the Lie algebra L.
  • The Lie algebra L can be provided either from their structure constants or their infinitesimal generator representation.
  • The radical R of a Lie algebra is the maximal solvable ideal.
  • Depending of the input, RadicalR will return the base which spans the ideal either by using the representation provided or the syntax for the subspaces using the symbol X.
EXAMPLESCLOSE ALL
Basic Examples   (2)
In[1]:=
Click for copyable input
The radical using the infinitesimal representation of the Lie algebra
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=
 
In[1]:=
Click for copyable input
The radical using the structure constants of the Lie algebra.
In[2]:=
Click for copyable input
Out[2]=
In[3]:=
Click for copyable input
Out[3]=