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NilpotencyClass
NilpotencyClass[
L
]
calculates the nilpotency class of the nilpotent Lie algebra
L
.
MORE INFORMATION
To use
NilpotencyClass
, you first need to load the
SYM Package
using
Needs
["SYM`"].
The Lie algebra
L
can be given either from its structure constants or from its infinitesimal generator representation.
NilpotencyClass
will that the supplied Lie algebra is nillpotent and will return
Null
otherwise.
Nilpotency class
of a nilpotent Lie Algebra L is the smallest number
c
such that
L
c
≠0
but
L
c+1
=0
. Where
L
i+1
=[L, L
i
]
, i>1
and
L
1
=L
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
In[1]:=
Let the Lie algbera:
In[2]:=
Out[2]=
This is indeed a nilpotent algebra:
In[3]:=
Out[3]=
with nilpotency class:
In[4]:=
Out[4]=
TUTORIALS
SYM Package and Lie algebras
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