Softcover ISBN:  9781470453510 
Product Code:  CONM/768 
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AMS Member Price:  $97.60 
Electronic ISBN:  9781470464240 
Product Code:  CONM/768.E 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 

Book DetailsContemporary MathematicsVolume: 768; 2021; 342 ppMSC: 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.ReadershipGraduate students and research mathematicians interested in representation theory of reductive Lie groups and vertex algebras.

Table of Contents

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

JingSong 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 HeisenbergVirasoro 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

YiZhi Huang  Representation theory of vertex operator algebras and orbifold conformal field theory

Chris JenningsShaffer and Antun Milas  Further $q$series identities and conjectures relating false theta functions and characters

Kailash C. Misra and Suchada Pongprasert  Ultradiscretization 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


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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

JingSong 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 HeisenbergVirasoro 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

YiZhi Huang  Representation theory of vertex operator algebras and orbifold conformal field theory

Chris JenningsShaffer and Antun Milas  Further $q$series identities and conjectures relating false theta functions and characters

Kailash C. Misra and Suchada Pongprasert  Ultradiscretization 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