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d^n Seniority Sp(10)⊃SU(2)*SO(5)

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$\left<\lambda \right>\downarrow\sum_\sigma\{\lambda/A \circ \sigma\}[\sigma/D]$

so5.fn

gr sp10
enter rv1
dim[rv1]
gr 2 su2 so5
rule [rv1*0] sk 1 with a
rule last sum i 1 eq 2
rule last sk 2 with d
sup false
std last
dim last
stop

DP> readfn 1 'so5.fn'
=-
=-
=-
=-
=-
=-
=-
=-
=-
=-
=-

DP> fn 1 
Group is Sp(10)
enter rv10
Dimension = 1
Groups are SU(2) * SO(5)
{0}[0]
Dimension = 1

DP> fn 1
Group is Sp(10)
enter rv11
Dimension = 10
Groups are SU(2) * SO(5)
{1}[1]
Dimension = 10

DP> fn 1
Group is Sp(10)
enter rv111
Dimension = 44
Groups are SU(2) * SO(5)
{2}[1^2] + {0}[2]
Dimension = 44

DP> fn 1
Group is Sp(10)
enter rv11^3
Dimension = 110
Groups are SU(2) * SO(5)
{3}[1^2] + {1}[21]
Dimension = 110

DP> fn 1
Group is Sp(10)
enter rv11^4
Dimension = 165
Groups are SU(2) * SO(5)
{4}[1] + {2}[21] + {0}[2^2]
Dimension = 165

DP> fn 1
Group is Sp(10)
enter rv11^5
Dimension = 132
Groups are SU(2) * SO(5)
{5}[0] + {3}[2] + {1}[2^2]
Dimension = 132