• Corpus ID: 230524035

Colored Fermionic Vertex Models and Symmetric Functions

@inproceedings{Aggarwal2021ColoredFV,
  title={Colored Fermionic Vertex Models and Symmetric Functions},
  author={Amol Aggarwal and Alexei Borodin and Michael Wheeler},
  year={2021}
}
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie superalgebra Uq ( ŝl(1|n) ) . We establish various combinatorial results for these vertex models and symmetric functions, which include the following. (1) We apply the fusion procedure to the fundamental R-matrix for Uq ( ŝl(1|n) ) to obtain an explicit family of vertex weights satisfying the Yang–Baxter equation. (2… 

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