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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
Lie Groups, Number Theory, and Vertex Algebras
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
eBook 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
Softcover ISBN:  978-1-4704-5351-0
eBook: ISBN:  978-1-4704-6424-0
Product Code:  CONM/768.B
List Price: $244.00 $183.00
MAA Member Price: $219.60 $164.70
AMS Member Price: $195.20 $146.40
Add to cart
Lie Groups, Number Theory, and Vertex Algebras
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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
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
eBook 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
Softcover ISBN:  978-1-4704-5351-0
eBook ISBN:  978-1-4704-6424-0
Product Code:  CONM/768.B
List Price: $244.00 $183.00
MAA Member Price: $219.60 $164.70
AMS Member Price: $195.20 $146.40
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 768; 2021; 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.

    Readership

    Graduate 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
    • 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 768; 2021; 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.

Readership

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 publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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