Representations and Nilpotent Orbits of Lie Algebraic Systems In Honour of the 75th Birthday of Tony Joseph /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Gorelik, Maria (Editor, http://id.loc.gov/vocabulary/relators/edt), Hinich, Vladimir (Editor, http://id.loc.gov/vocabulary/relators/edt), Melnikov, Anna (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Progress in Mathematics, 330
• Subjects: Topological groups.; Lie groups.; Topological Groups, Lie Groups.

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 Representati...

Table of Contents:

• Preface
• 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
• On 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.