2025/08/16 by R. Kirschner, Kirschner, R.
Arts and Humanities · #Language, Linguistics, Cultural Analysis #Linguistics and Cultural Studies
paper · pdf · doi:10.48550/arxiv.2508.11980
We construct type gℓ(n) Yangian algebra evaluations of order N embedded in Heisenberg algebras and consider their representations having a highest weight. These Yangian algebra presentations depend on nN parameters. We construct explicitly intertwiners, which exist if the parameter arrays are related by permutations. The intertwiners are products of elementary adjacent parameter permutation operators derived from R operators obeying Yang-Baxter relations. Permutation coefficients appear in the action on representations. Their dependence on the parameters allows to distinguish the types of representations.