Package young :: Module permgroup :: Class PermGroup
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Type PermGroup

object --+        
         |        
     tuple --+    
             |    
     BaseGroup --+
                 |
                PermGroup


class PermGroup(permutation) -> return a class for permutation group
Method Summary
  __init__(self, group)
  __mul__(self, other)
composition of map
  __repr__(self)
  __str__(self)
  excedance(self)
Return the excedance of permutation
  get_inv(self)
Return the inversion number
  get_inverse(self)
Return the inverse
  get_inversion(self)
Return the inversion number
  get_sgn(self)
Return the signature of the permutation group
  iseven(self)
Tests whether or not the signature is even
  isodd(self)
Tests whether or not the signature is odd
  to_cycle(self)
Decomposite permutation group into cycles
  to_matrix(self)
matrix representation
  weak_excedance(self)
Return the weak excedance of permutation
    Inherited from tuple
  __add__(x, y)
x.__add__(y) <==> x+y
  __contains__(x, y)
x.__contains__(y) <==> y in x
  __eq__(x, y)
x.__eq__(y) <==> x==y
  __ge__(x, y)
x.__ge__(y) <==> x>=y
  __getattribute__(...)
x.__getattribute__('name') <==> x.name
  __getitem__(x, y)
x.__getitem__(y) <==> x[y]
  __getnewargs__(...)
  __getslice__(x, i, j)
Use of negative indices is not supported.
  __gt__(x, y)
x.__gt__(y) <==> x>y
  __hash__(x)
x.__hash__() <==> hash(x)
  __iter__(x)
x.__iter__() <==> iter(x)
  __le__(x, y)
x.__le__(y) <==> x<=y
  __len__(x)
x.__len__() <==> len(x)
  __lt__(x, y)
x.__lt__(y) <==> x<y
  __ne__(x, y)
x.__ne__(y) <==> x!=y
  __new__(T, S, ...)
T.__new__(S, ...) -> a new object with type S, a subtype of T
  __rmul__(x, n)
x.__rmul__(n) <==> n*x
    Inherited from object
  __delattr__(...)
x.__delattr__('name') <==> del x.name
  __reduce__(...)
helper for pickle
  __reduce_ex__(...)
helper for pickle
  __setattr__(...)
x.__setattr__('name', value) <==> x.name = value

Method Details

__mul__(self, other)

composition of map
Overrides:
__builtin__.tuple.__mul__

excedance(self)

Return the excedance of permutation

get_inv(self)

Return the inversion number

get_inverse(self)

Return the inverse
Overrides:
young.permgroup.BaseGroup.get_inverse

get_inversion(self)

Return the inversion number

get_sgn(self)

Return the signature of the permutation group

iseven(self)

Tests whether or not the signature is even

isodd(self)

Tests whether or not the signature is odd

to_cycle(self)

Decomposite permutation group into cycles

to_matrix(self)

matrix representation

weak_excedance(self)

Return the weak excedance of permutation

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