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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics
 
Edited by: Kailash C. Misra North Carolina State University, Raleigh, NC
Daniel K. Nakano University of Georgia, Athens, GA
Brian J. Parshall University of Virginia, Charlottesville, VA
Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics
Hardcover ISBN:  978-1-4704-1844-1
Product Code:  PSPUM/92
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-3013-9
Product Code:  PSPUM/92.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-1844-1
eBook: ISBN:  978-1-4704-3013-9
Product Code:  PSPUM/92.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics
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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics
Edited by: Kailash C. Misra North Carolina State University, Raleigh, NC
Daniel K. Nakano University of Georgia, Athens, GA
Brian J. Parshall University of Virginia, Charlottesville, VA
Hardcover ISBN:  978-1-4704-1844-1
Product Code:  PSPUM/92
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-1-4704-3013-9
Product Code:  PSPUM/92.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-1-4704-1844-1
eBook ISBN:  978-1-4704-3013-9
Product Code:  PSPUM/92.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 922016; 355 pp
    MSC: Primary 17; 20

    This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014.

    Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

    Readership

    Graduate students and research mathematicians interested in Lie algebras, Lie superalgebras, and vertex algebras.

  • Table of Contents
     
     
    • Articles
    • Tomoyuki Arakawa and Weiqiang Wang — Modular affine vertex algebras and baby Wakimoto modules
    • A.-M. Aubert, W. Kraśkiewicz and T. Przebinda — Howe correspondence and Springer correspondence for dual pairs over a finite field
    • Katrina Barron — Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order
    • Christopher P. Bendel, Daniel K. Nakano and Cornelius Pillen — Third cohomology for Frobenius kernels and related structures
    • S. Ceken, J. H. Palmieri, Y.-H. Wang and J. J. Zhang — Invariant theory for quantum Weyl algebras under finite group action
    • Thomas Ferguson, Maria Gorelik and Dimitar Grantcharov — Bounded highest weight modules over $\mathfrak {osp} (1, 2n)$
    • Seok-Jin Kang, Kyu-Hwan Lee, Hansol Ryu and Ben Salisbury — A combinatorial description of the affine Gindikin-Karpelevich formula of type $A_n^{(1)}$
    • Yiqiang Li — Canonical bases of Cartan-Borcherds type, II: Constructible functions on singular supports
    • Martin Schlichenmaier — Krichever–Novikov type algebras. An introduction
    • Oleg K. Sheinman — Lax operator algebras and Lax equations
    • Brian J. Parshall and Leonard L. Scott — From forced gradings to Q-Koszul algebras
    • Laura Rider and Amber Russell — Perverse sheaves on the nilpotent cone and Lusztig’s generalized Springer correspondence
    • Monica Vazirani — Categorifying the tensor product of a level 1 highest weight and perfect crystal in type $A$
    • Anton M. Zeitlin — On the unitary representations of the affine $ax+b$-group, $\widehat {sl(2,\mathbb {R})}$ and their relatives
  • 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
Volume: 922016; 355 pp
MSC: Primary 17; 20

This book contains the proceedings of the 2012–2014 Southeastern Lie Theory Workshop Series held at North Carolina State University in April 2012, at College of Charleston in December 2012, at Louisiana State University in May 2013, and at University of Georgia in May 2014.

Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras, and quantum groups, vertex (operator) algebras and Lie superalgebras.

Readership

Graduate students and research mathematicians interested in Lie algebras, Lie superalgebras, and vertex algebras.

  • Articles
  • Tomoyuki Arakawa and Weiqiang Wang — Modular affine vertex algebras and baby Wakimoto modules
  • A.-M. Aubert, W. Kraśkiewicz and T. Przebinda — Howe correspondence and Springer correspondence for dual pairs over a finite field
  • Katrina Barron — Twisted modules for tensor product vertex operator superalgebras and permutation automorphisms of odd order
  • Christopher P. Bendel, Daniel K. Nakano and Cornelius Pillen — Third cohomology for Frobenius kernels and related structures
  • S. Ceken, J. H. Palmieri, Y.-H. Wang and J. J. Zhang — Invariant theory for quantum Weyl algebras under finite group action
  • Thomas Ferguson, Maria Gorelik and Dimitar Grantcharov — Bounded highest weight modules over $\mathfrak {osp} (1, 2n)$
  • Seok-Jin Kang, Kyu-Hwan Lee, Hansol Ryu and Ben Salisbury — A combinatorial description of the affine Gindikin-Karpelevich formula of type $A_n^{(1)}$
  • Yiqiang Li — Canonical bases of Cartan-Borcherds type, II: Constructible functions on singular supports
  • Martin Schlichenmaier — Krichever–Novikov type algebras. An introduction
  • Oleg K. Sheinman — Lax operator algebras and Lax equations
  • Brian J. Parshall and Leonard L. Scott — From forced gradings to Q-Koszul algebras
  • Laura Rider and Amber Russell — Perverse sheaves on the nilpotent cone and Lusztig’s generalized Springer correspondence
  • Monica Vazirani — Categorifying the tensor product of a level 1 highest weight and perfect crystal in type $A$
  • Anton M. Zeitlin — On the unitary representations of the affine $ax+b$-group, $\widehat {sl(2,\mathbb {R})}$ and their relatives
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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