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D.15.8.5 LRcoprod

Procedure from library lrcalc.lib (see lrcalc_lib).

Usage:
LRcoprod(z); z list of integers (partition)

Return:
list of lists

Purpose:
computes the pairs of partitions x and y for which
the Littlewood-Richardson coefficient c^z_{x,y} is non-zero together with that coefficient

Note:

Example:
 
LIB "lrcalc.lib";
// Compute the pairs of partitions x and y for which the Littlewood-Richardson
// coefficient c^z_{x,y} is non-zero together with that coefficient
// for z= (3, 2, 1)
list z = 3, 2, 1;
LRcoprod(z);
==> [1]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          3
==>       [2]:
==>          1
==>    [3]:
==>       [1]:
==>          2
==> [2]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          2
==>    [3]:
==>       [1]:
==>          1
==>       [2]:
==>          1
==> [3]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          3
==>       [2]:
==>          1
==>    [3]:
==>       [1]:
==>          1
==>       [2]:
==>          1
==> [4]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==>    [3]:
==>       [1]:
==>          3
==> [5]:
==>    [1]:
==>       2
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==>    [3]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==> [6]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          2
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          1
==> [7]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          3
==>       [2]:
==>          2
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          0
==> [8]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          3
==>       [2]:
==>          2
==>    [3]:
==>       [1]:
==>          1
==> [9]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          2
==> [10]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          3
==>       [2]:
==>          1
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          1
==> [11]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          1
==>       [2]:
==>          1
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==> [12]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          1
==>       [3]:
==>          1
==>    [3]:
==>       [1]:
==>          1
==>       [2]:
==>          1
==> [13]:
==>    [1]:
==>       1
==>    [2]:
==>       [1]:
==>          2
==>       [2]:
==>          2
==>    [3]:
==>       [1]:
==>          2


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