Difference between revisions of "Ist product table.m"
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[[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups|SU(2), SO(3), and other groups]] | [[Kernel_utilities#SU.282.29.2C_SO.283.29.2C_and_other_groups|SU(2), SO(3), and other groups]] | ||
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''Version 2.8, authors: [[Ilya Kuprov]]'' | ''Version 2.8, authors: [[Ilya Kuprov]]'' | ||
Revision as of 12:26, 25 April 2026
Structure coefficient tables for the associative envelopes of su(mult) algebras.
Syntax
[product_table_left,product_table_right]=ist_product_table(mult)
Arguments
mult - multiplicity of the spin in question
Outputs
Output contains the structure coefficients in the following conventions:
product_table_left(n,m,k)=trace(T{n}*T{m}*T{k}')/...
sqrt(trace(T{k}*T{k}')*trace(T{m}*T{m}'))
product_table_right(n,m,k)=trace(T{m}*T{n}*T{k}')/...
sqrt(trace(T{k}*T{k}')*trace(T{m}*T{m}'));
corresponding to Eq 7.18 of the first edition of IK's book (normalisation is missing in the book, that's a typo).
Notes
These are expensive tables: disk cache is created and used automatically.
See also
SU(2), SO(3), and other groups
Version 2.8, authors: Ilya Kuprov
