Symmetric functions for the generating matrix of Yangian of gl_n(C)

Abstract

Analogues of classical combinatorial identities for elementary and homogeneous symmetric functions with coefficients in Yanigian are discussed. As a corollary, similar relations are deduced for shifted Schur functions.

11 pages

References in corpus (3)

• Gaudin Hamiltonians generate the Bethe algebra of a tensor power of vector representation of gl_N
• Schubert calculus and representations of general linear group
• Generating Operator of XXX or Gaudin Transfer Matrices Has Quasi-Exponential Kernel