@article{21489,
  abstract     = {We study Kirillov algebras attached to minuscule highest weight representations of semisimple Lie algebras. They can be viewed as equivariant cohomology algebras of partial flag varieties. Real structures on the varieties then induce involutions of these algebras. We describe how these involutions act on the spectra of minuscule Kirillov algebras, and model the fixed points via the equivariant cohomology of real partial flag varieties. We then use this model to characterise freeness of the fixed point coordinate ring over the appropriate base. As an application, we recover a q = -1 phenomenon of Stembridge in the minuscule case by geometric means.},
  author       = {Elkner, Mischa M},
  issn         = {1531-586X},
  journal      = {Transformation Groups},
  publisher    = {Springer Nature},
  title        = {{On involutions of minuscule Kirillov algebras induced by real structures}},
  doi          = {10.1007/s00031-026-09958-y},
  year         = {2026},
}

@article{17437,
  abstract     = {We prove that the zero-fiber of the moment map of a totally negative quiver has rational singularities. Our proof consists in generalizing dimension bounds on jet spaces of this fiber, which were introduced by Budur. We also transfer the rational singularities property to other moduli spaces of objects in 2-Calabi-Yau categories, based on recent work of Davison. This has interesting arithmetic applications on quiver moment maps and moduli spaces of objects in 2-Calabi-Yau categories. First, we generalize results of Wyss on the asymptotic behaviour of counts of jets of quiver moment maps over finite fields. Moreover, we interpret the limit of counts of jets on a given moduli space as its p-adic volume under a canonical measure analogous to the measure built by Carocci, Orecchia and Wyss on certain moduli spaces of coherent sheaves.},
  author       = {Vernet, Tanguy},
  issn         = {1531-586X},
  journal      = {Transformation Groups},
  pages        = {1047--1083},
  publisher    = {Springer Nature},
  title        = {{Rational singularities for moment maps of totally negative quivers}},
  doi          = {10.1007/s00031-024-09873-0},
  volume       = {31},
  year         = {2026},
}

@article{7940,
  abstract     = {We prove that the Yangian associated to an untwisted symmetric affine Kac–Moody Lie algebra is isomorphic to the Drinfeld double of a shuffle algebra. The latter is constructed in [YZ14] as an algebraic formalism of cohomological Hall algebras. As a consequence, we obtain the Poincare–Birkhoff–Witt (PBW) theorem for this class of affine Yangians. Another independent proof of the PBW theorem is given recently by Guay, Regelskis, and Wendlandt [GRW18].},
  author       = {Yang, Yaping and Zhao, Gufang},
  issn         = {1531-586X},
  journal      = {Transformation Groups},
  pages        = {1371--1385},
  publisher    = {Springer Nature},
  title        = {{The PBW theorem for affine Yangians}},
  doi          = {10.1007/s00031-020-09572-6},
  volume       = {25},
  year         = {2020},
}