Representations and nilpotent orbits of Lie algebraic systems : in honour of the 75th birthday of Tony Joseph

Representations and nilpotent orbits of Lie algebraic systems : in honour of the 75th birthday of Tony Joseph / Maria Gorelik, Vladimir Hinich, Anna Melnikov, editors.

The chapters in this volume cover a range of topics, including: Primitive ideals Invariant theory Geometry of Lie group actions Quantum affine algebras Yangians Categorification Vertex algebras This volume is addressed to mathematicians who specialize in representation theory and Lie theory, and who...

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Bibliographic Details
Other Authors: Gorelik, Maria (Editor), Hinich, Vladimir (Editor), Melnikov, Anna (Editor)
Format: Book
Language:English
Published: Cham, Switzerland : Birkhäuser/Springer Nature Switzerland AG, [2019]
Series:Progress in mathematics (Boston, Mass.) ; v. 330.
Subjects:
Lie groups.
Nilpotent Lie groups.
Representations of algebras.
Topological groups.
Table of Contents:
  • Singular support of a vertex algebra and the arc space of its associated scheme / Tomoyuki Arakawa and Andrew R. Linshaw
  • On cacti and crystals / Arkady Berenstein, Jacob Greenstein, and Jian-Rong Li
  • Quotients for sheets of conjugacy classes / Giovanna Carnovale and Francesco Esposito
  • About polynomiality of the Poisson semicentre for parabolic subalgebras / Florence Fauquant-Millet
  • On Dynkin gradings in simple Lie algebras / Alexander Elashvili, Mamuka Jibladze, and Victor Kac
  • Multiplicative slices, relativistic Toda and shifted quantum affine algebras / Michael Finkelberg and Alexander Tsymbaliuk
  • Some properties of orbital varieties in extremal nilpotent orbits / Lucas Fresse
  • On involutions in the Weyl group and B-orbit closures in the orthogonal case / Mikhail V. Ignatyev
  • Proper self-similar triangle tiling and representing weight diagrams in the plane / Anthony Joseph
  • Closures of on-orbits in the flag variety for GLn / William M. McGovern
  • The spin Calogero-Sutherland model at infinity / Maxim Nazarov
  • Semi-direct products involving Sp2n or Spinn with free algebras of symmetric invariants / Dmitri I. Panyushev and Oksana S. Yakimova
  • Primitive ideals of U(sl( Ivan Penkov and Alexey Petukhov
  • Prime spectra of Abelian 2-categories and categorifications of Richardson varieties / Kent Vashaw and Milen Yakimov.

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