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Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. (English) Zbl 1470.17001

Contemporary Mathematics 768. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5351-0/pbk; 978-1-4704-6424-0/ebook). ix, 342 p. (2021).

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Publisher’s description: 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.
The articles of this volume will be reviewed individually.
For the preceding conference see [Zbl 1279.00041].
Indexed articles:
De Bie, Hendrik; Iliev, Plamen; van de Vijver, Wouter; Vinet, Luc, The Racah algebra: an overview and recent results, 3-20 [Zbl 1497.81062]
Fresse, Lucas; Nishiyama, Kyo, Orbit embedding for double flag varieties and Steinberg maps, 21-42 [Zbl 1497.14093]
Huang, Jing-Song, Symplectic Dirac cohomology and lifting of characters to metaplectic groups, 43-53 [Zbl 1525.17017]
Mehdi, Salah; Olbrich, Martin, Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations, 55-63 [Zbl 1514.22005]
Romanov, Anna, Four examples of Beilinson-Bernstein localization, 65-85 [Zbl 1518.17014]
Fuchs, Clemens; Heintze, Sebastian, Perfect powers in polynomial power sums, 89-104 [Zbl 1520.11015]
Fujita, Yasutsugu, The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple, 105-117 [Zbl 1520.11040]
Muić, Goran, On ideals defining irreducible representations of reductive \(p\)-adic groups, 119-132 [Zbl 1511.11051]
Pethő, Attila, On Diophantine properties of radix representations in algebraic number fields, 133-148 [Zbl 1506.11014]
Adamović, Dražen; Milas, Antun; Penn, Michael, On certain \(W\)-algebras of type \(\mathcal{W}_k(\mathfrak{sl}_4,f)\), 151-165 [Zbl 1523.17054]
Adamović, Dražen; Jandrić, Berislav; Radobolja, Gordan, On the \(N=1\) super Heisenberg-Virasoro vertex algebra, 167-178 [Zbl 07605412]
Bantay, Peter, Character rings and fusion algebras, 179-185 [Zbl 1521.20029]
Clark, James F., Continuing remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\), 187-199 [Zbl 1525.17012]
Corradino, Jesse, On the geometric interpretation of certain vertex algebras and their modules, 201-219 [Zbl 1523.17057]
Huang, Yi-Zhi, Representation theory of vertex operator algebras and orbifold conformal field theory, 221-252 [Zbl 1518.17032]
Jennings-Shaffer, Chris; Milas, Antun, Further \(q\)-series identities and conjectures relating false theta functions and characters, 253-269 [Zbl 1508.11103]
Misra, Kailash C.; Pongprasert, Suchada, Ultra-discretization of \(D_6^{(1)}\)-geometric crystal at the spin node, 271-304 [Zbl 1518.17029]
Škoda, Zoran, Twisted exterior derivative for universal enveloping algebras \(\mathbf{I}\), 305-319 [Zbl 1523.16028]
Tuite, Michael P., The Heisenberg generalized vertex operator algebra on a Riemann surface, 321-342 [Zbl 1521.17085]

MSC:

17-06 Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras
00B25 Proceedings of conferences of miscellaneous specific interest
17B69 Vertex operators; vertex operator algebras and related structures
17B20 Simple, semisimple, reductive (super)algebras
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
22E46 Semisimple Lie groups and their representations
11D09 Quadratic and bilinear Diophantine equations
11Y35 Analytic computations
11Y50 Computer solution of Diophantine equations

Citations:

Zbl 1279.00041
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