Spin Multipartitions
Ola Amara-Omari, Mary Schaps
TL;DR
This paper introduces a conjectured algorithm for constructing spin multipartitions and proves their role in forming modules over quantum enveloping algebras, advancing combinatorial methods in representation theory.
Contribution
It proposes a new algorithm for spin multipartitions and establishes their connection to level one Fock spaces as modules over quantum algebras.
Findings
Conjectured an algorithm for spin multipartitions.
Proved that these multipartitions form modules over quantum enveloping algebras.
Enhanced understanding of combinatorial structures in representation theory.
Abstract
We conjecture an algorithm to construct spin multipartitions and prove that all the level one Fock spaces using our combinatorics are modules over the quantum enveloping algebra.
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Taxonomy
TopicsAdvanced NMR Techniques and Applications · Magnetism in coordination complexes · Crystallography and Radiation Phenomena