lrcalc1
Calculate with littlewood-richardson coefficients
Usage
lrcalc coprod
[-a]
part
lrcalc lrcoef
outer
-
inner1
-
inner2
lrcalc lrtab
[-r
rows]
outer
/
inner
lrcalc mult
[-mz]
[-r
rows]
[-q
rows,cols]
[-f
rows,level]
part1
-
part2
lrcalc skew
[-m]
[-r
rows]
outer
/
inner
coprod - Calculate coproducts in the ring of symmetric functions
DESCRIPTION
The command "lrcalc coprod z" lists all pairs of partitions x and y for which the Littlewood-Richardson coefficient c^z_{x,y} is non-zero, with that coefficient in front.
OPTIONS
-a-
not documented
EXAMPLE
% lrcalc coprod 3 2 1
1 (3, 1) (2)
1 (2, 2) (1, 1)
1 (3, 1) (1, 1)
1 (2, 1) (3)
2 (2, 1) (2, 1)
1 (2, 2, 1) (1)
1 (3, 2, 1) ()
1 (3, 2) (1)
1 (2, 1, 1) (2)
1 (3, 1, 1) (1)
1 (1, 1, 1) (2, 1)
1 (2, 1, 1) (1, 1)
1 (2, 2) (2)
lrcoef - Compute a single Littlewood-Richardson coefficient
DESCRIPTION
The command "lrcalc lrcoef z - x - y" computes the Littlewood-Richardson coefficient c^z_{x,y} which is the coefficient of the Schur function s_z in the product s_x * s_y.
EXAMPLE
% lrcalc lrcoef 3 2 1 - 2 1 - 2 1
2
lrtab
not documented
mult - Expand a product of two Schur functions in the basis of Schur functions
DESCRIPTION
The command "lrcalc mult x - y" lists all partitions z for which the Littlewood-Richardson coefficient c^z_{x,y} is non-zero, with that coefficient in front.
OPTIONS
|
not documented |
|---|---|
|
not documented |
|
Calculates quantum coefficients. Experimental feature. |
|
Calculates fusion coefficients. Experimental feature. |
EXAMPLES
% lrcalc mult 2 1 - 2 1
1 (3, 3)
1 (4, 2)
1 (2, 2, 1, 1)
1 (2, 2, 2)
2 (3, 2, 1)
1 (4, 1, 1)
1 (3, 1, 1, 1)
% lrcalc mult -f 3,2 3 2 1 - 3 2 1
1 (4, 4, 4)
1 (5, 4, 3)
% lrcalc mult -q 3,2 3 2 1 - 3 2 1
1 (2)
1 (1, 1)
skew - Expand a skew Schur function in the basis of Schur functions
DESCRIPTION
The command "lrcalc skew z / x" lists all partitions y for which the Littlewood-Richardson coefficient c^z_{x,y} is non-zero, with that coefficient in front.
OPTIONS
|
not documented |
|---|---|
|
not documented |
EXAMPLE
% lrcalc skew 3 2 1 / 2 1
1 (3)
2 (2, 1)
1 (1, 1, 1)
Manpage author
Tobias Hansen <thansen at debian dot org>
Releases
Unchanged in 6 releases since Debian 8 (Jessie).