@article{21718,
  abstract     = {In this paper, we consider the big algebra recently introduced by Hausel for the GLn-action on the coordinate ring of the matrix space Mat(n,r). In particular, we obtain explicit formulas for the big algebra generators in terms of differential operators with polynomial coefficients. We show that big algebras in type A are commutative and relate them to the Bethe subalgebra in the Yangian Y(gln). We apply these results to big algebras of symmetric powers of the standard representation of GLn.
.},
  author       = {Ngo, Nhok T},
  issn         = {1815-0659},
  journal      = {Symmetry, Integrability and Geometry: Methods and Applications},
  publisher    = {National Academy of Science of Ukraine},
  title        = {{Big algebra in type A for the coordinate ring of the matrix space}},
  doi          = {10.3842/SIGMA.2026.024},
  volume       = {22},
  year         = {2026},
}

@article{19621,
  abstract     = {In this paper we obtain a complete description of all indecomposable characters (central positive-definite functions) of inductive limits of the symmetric groups under block diagonal embedding. As a corollary we obtain the full classification of the isomorphism classes of these inductive limits.},
  author       = {Nessonov, Nikolay and Ngo, Nhok T},
  issn         = {1088-4165},
  journal      = {Representation Theory},
  number       = {8},
  pages        = {256--288},
  publisher    = {American Mathematical Society},
  title        = {{Indecomposable characters of inductive limits of symmetric groups}},
  doi          = {10.1090/ert/689},
  volume       = {29},
  year         = {2025},
}