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Lie Groups, Number Theory, and Vertex Algebras

Edited by: Dražen Adamović University of Zagreb, Zagreb, Croatia
Andrej Dujella University of Zagreb, Zagreb, Croatia
Antun Milas State University of New York at Albany, Albany, NY
Pavle Pandžić University of Zagreb, Zagreb, Croatia
Available Formats:
Softcover ISBN: 978-1-4704-5351-0
Product Code: CONM/768
List Price: $122.00 MAA Member Price:$109.80
AMS Member Price: $97.60 Electronic ISBN: 978-1-4704-6424-0 Product Code: CONM/768.E List Price:$122.00
MAA Member Price: $109.80 AMS Member Price:$97.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $183.00 MAA Member Price:$164.70
AMS Member Price: $146.40 Click above image for expanded view Lie Groups, Number Theory, and Vertex Algebras Edited by: Dražen Adamović University of Zagreb, Zagreb, Croatia Andrej Dujella University of Zagreb, Zagreb, Croatia Antun Milas State University of New York at Albany, Albany, NY Pavle Pandžić University of Zagreb, Zagreb, Croatia Available Formats:  Softcover ISBN: 978-1-4704-5351-0 Product Code: CONM/768  List Price:$122.00 MAA Member Price: $109.80 AMS Member Price:$97.60
 Electronic ISBN: 978-1-4704-6424-0 Product Code: CONM/768.E
 List Price: $122.00 MAA Member Price:$109.80 AMS Member Price: $97.60 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$183.00 MAA Member Price: $164.70 AMS Member Price:$146.40
• Book Details

Contemporary Mathematics
Volume: 7682021; 342 pp
MSC: Primary 17; 22; 11;

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.

Graduate students and research mathematicians interested in representation theory of reductive Lie groups and vertex algebras.

• Lie groups
• Hendrik De Bie, Plamen Iliev, Wouter van de Vijver and Luc Vinet - The Racah algebra: An overview and recent results
• Lucas Fresse and Kyo Nishiyama - Orbit embedding for double flag varieties and Steinberg maps
• Jing-Song Huang - Symplectic Dirac cohomology and lifting of characters to metaplectic groups
• Salah Mehdi and Martin Olbrich - Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations
• Anna Romanov - Four examples of Beilinson–Bernstein localization
• Number theory
• Clemens Fuchs and Sebastian Heintze - Perfect powers in polynomial power sums
• Yasutsugu Fujita - The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple
• Goran Muić - On ideals defining irreducible representations of reductive $p$–adic groups
• Attila Pethő - On diophantine properties of radix representations in algebraic number fields
• Vertex algebras
• Dražen Adamović, Antun Milas and Michael Penn - On certain $W$-algebras of type $\mathcal {W}_k(\frak {sl}_4,f)$
• Dražen Adamović, Berislav Jandrić and Gordan Radobolja - On the $N=1$ super Heisenberg-Virasoro vertex algebra
• Peter Bantay - Character rings and fusion algebras
• James F. Clark - Continuing Remarks on the Unrolled Quantum Group of $\mathfrak {sl}(2)$
• Jesse Corradino - On the geometric interpretation of certain vertex algebras and their modules
• Yi-Zhi Huang - Representation theory of vertex operator algebras and orbifold conformal field theory
• Chris Jennings-Shaffer and Antun Milas - Further $q$-series identities and conjectures relating false theta functions and characters
• Kailash C. Misra and Suchada Pongprasert - Ultra-discretization of $D_6^{(1)}$- geometric crystal at the spin node
• Zoran Škoda - Twisted exterior derivative for universal enveloping algebras $\mathbf {I}$
• Michael P. Tuite - The Heisenberg generalized vertex operator algebra on a Riemann surface

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 7682021; 342 pp
MSC: Primary 17; 22; 11;

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.

Graduate students and research mathematicians interested in representation theory of reductive Lie groups and vertex algebras.

• Lie groups
• Hendrik De Bie, Plamen Iliev, Wouter van de Vijver and Luc Vinet - The Racah algebra: An overview and recent results
• Lucas Fresse and Kyo Nishiyama - Orbit embedding for double flag varieties and Steinberg maps
• Jing-Song Huang - Symplectic Dirac cohomology and lifting of characters to metaplectic groups
• Salah Mehdi and Martin Olbrich - Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations
• Anna Romanov - Four examples of Beilinson–Bernstein localization
• Number theory
• Clemens Fuchs and Sebastian Heintze - Perfect powers in polynomial power sums
• Yasutsugu Fujita - The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple
• Goran Muić - On ideals defining irreducible representations of reductive $p$–adic groups
• Attila Pethő - On diophantine properties of radix representations in algebraic number fields
• Vertex algebras
• Dražen Adamović, Antun Milas and Michael Penn - On certain $W$-algebras of type $\mathcal {W}_k(\frak {sl}_4,f)$
• Dražen Adamović, Berislav Jandrić and Gordan Radobolja - On the $N=1$ super Heisenberg-Virasoro vertex algebra
• Peter Bantay - Character rings and fusion algebras
• James F. Clark - Continuing Remarks on the Unrolled Quantum Group of $\mathfrak {sl}(2)$
• Jesse Corradino - On the geometric interpretation of certain vertex algebras and their modules
• Yi-Zhi Huang - Representation theory of vertex operator algebras and orbifold conformal field theory
• Chris Jennings-Shaffer and Antun Milas - Further $q$-series identities and conjectures relating false theta functions and characters
• Kailash C. Misra and Suchada Pongprasert - Ultra-discretization of $D_6^{(1)}$- geometric crystal at the spin node
• Zoran Škoda - Twisted exterior derivative for universal enveloping algebras $\mathbf {I}$
• Michael P. Tuite - The Heisenberg generalized vertex operator algebra on a Riemann surface
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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