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Colored fermionic vertex models and symmetric functions

Colored fermionic vertex models and symmetric functions

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 $U_q \big ( \widehat {\mathfrak {sl}} (1 | n) \big )$. We establish various combinatorial results for these vertex models and symmetric functions, …