Gorelik M., Hinich V., Melnikov A. (Eds.) Representations and Nilpotent Orbits of Lie Algebraic Systems: In Honour of the 75th Birthday of Tony Joseph

Springer, 2019. — 563 p. — (Progress in Mathematics 330). — ISBN: 978-3-030-23530-7.This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa.
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 wish to learn more about this fascinating subject.Singular Support of a Vertex Algebra and the Arc Space of Its Associated Scheme
On Cacti and Crystals
Quotients for Sheets of Conjugacy Classes
About Polynomiality of the Poisson Semicentre for Parabolic Subalgebras
On Dynkin Gradings in Simple Lie Algebras
Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras
Some Properties of Orbital Varieties in Extremal Nilpotent Orbits
On Involutions in the Weyl Group and B-Orbit Closures in the Orthogonal Case
Proper Self-Similar Triangle Tiling and Representing Weight Diagrams in the Plane
Closures of On-Orbits in the Flag Variety for GLn
The Spin Calogero-Sutherland Model at Infinity
Semi-Direct Products Involving Sp2n or Spinn with Free Algebras of Symmetric Invariants
Primitive Ideals of U(sl(∞)) and the Robinson–Schensted Algorithm at Infinity
Prime Spectra of Abelian 2-Categories and Categorifications of Richardson Varieties