Lie Groups, Number Theory, and Vertex Algebras

ISBN-13: 9781470453510

Drazen Adamovic;Andrej Dujella;Antun Milas

Opis

This volume contains the proceedings of the conference Representation Theory XVI, held from June 25-29, 2019, in Dubrovnik, Croatia. The articles in the volume address selected aspects of representation theory of reductive Lie groups and vertex algebras, and are written by prominent experts in the field as well as junior researchers. The three main topics of these articles are Lie theory, number theory, and vertex algebras.

Spis treści

• Lie groups: H. De Bie, P. Iliev, W. van de Vijver, and L. Vinet, The Racah algebra: An overview and recent results
• L. Fresse and K. Nishiyama, Orbit embedding for double flag varieties and Steinberg maps
• J.-S. Huang, Symplectic Dirac cohomology and lifting of characters to metaplectic groups
• S. Mehdi and M. Olbrich, Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations
• A. Romanov, Four examples of Beilinson-Bernstein localization
• Number theory: C. Fuchs and S. Heintze, Perfect powers in polynomial power sums
• Y. Fujita, The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple
• G. Muic, On ideals defining irreducible representations of reductive $p$-adic groups
• A. Petho, On diophantine properties of radix representations in algebraic number fields
• Vertex algebras: D. Adamovic, A. Milas, and M. Penn, On certain $W$-algebras of type $\mathcal_k(\mathfrak_4,f)$
• D. Adamovic, B. Jandric, and G. Radobolja, On the $N=1$ super Heisenberg-Virasoro vertex algebra
• P. Bantay, Character rings and fusion algebras
• J. F. Clark, Continuing remarks on the unrolled quantum group of $\mathfrak)2)$
• J. Corradino, On the geometric interpretation of certain vertex algebras and their modules
• Y.-Z. Huang, Representation theory of vertex operator algebras and orbifold conformal field theory
• C. Jennings-Shaffer and A. Milas, Further $q$-series identities and conjectures relating false theta functions and characters
• K. C. Misra and S. Pongprasert, Ultra-discretization of $D^{(1)}_6$-geometric crystal at the spin node
• Z. Skoda, Twisted exterior derivative for universal enveloping algebras I
• M. P. Tuite, The Heisenberg generalized vertex operator algebra on a Riemann surface