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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]:
==> 2
==> [2]:
==> 1
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [2]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 2
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 0
==> [3]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 1
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 1
==> [4]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 2
==> [3]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [5]:
==> [1]:
==> 2
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 1
==> [3]:
==> [1]:
==> 2
==> [2]:
==> 1
==> [6]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 2
==> [3]:
==> [1]:
==> 1
==> [7]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 1
==> [3]:
==> [1]:
==> 2
==> [8]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 1
==> [2]:
==> 1
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 2
==> [2]:
==> 1
==> [9]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 2
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 1
==> [10]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 1
==> [3]:
==> 1
==> [3]:
==> [1]:
==> 2
==> [11]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 2
==> [3]:
==> [1]:
==> 2
==> [12]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 2
==> [2]:
==> 1
==> [3]:
==> [1]:
==> 3
==> [13]:
==> [1]:
==> 1
==> [2]:
==> [1]:
==> 3
==> [2]:
==> 1
==> [3]:
==> [1]:
==> 1
==> [2]:
==> 1
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