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Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
 
Edited by: Pramod N. Achar Louisiana State University, Baton Rouge, LA
Dijana Jakelić University of North Carolina at Wilmington, Wilmington, NC
Kailash C. Misra North Carolina University, Raleigh, NC
Milen Yakimov Louisiana State University, Baton Rouge, LA
Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
Softcover ISBN:  978-0-8218-9852-9
Product Code:  CONM/623
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1929-5
Product Code:  CONM/623.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-9852-9
eBook: ISBN:  978-1-4704-1929-5
Product Code:  CONM/623.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
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Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
Edited by: Pramod N. Achar Louisiana State University, Baton Rouge, LA
Dijana Jakelić University of North Carolina at Wilmington, Wilmington, NC
Kailash C. Misra North Carolina University, Raleigh, NC
Milen Yakimov Louisiana State University, Baton Rouge, LA
Softcover ISBN:  978-0-8218-9852-9
Product Code:  CONM/623
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1929-5
Product Code:  CONM/623.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-9852-9
eBook ISBN:  978-1-4704-1929-5
Product Code:  CONM/623.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6232014; 280 pp
    MSC: Primary 14; 16; 17; 20; 81

    This volume contains the proceedings of two AMS Special Sessions “Geometric and Algebraic Aspects of Representation Theory” and “Quantum Groups and Noncommutative Algebraic Geometry” held October 13–14, 2012, at Tulane University, New Orleans, Louisiana.

    Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac–Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

    Readership

    Graduate students and research mathematicians interested in representation theory.

  • Table of Contents
     
     
    • Articles
    • Dražen Adamović — A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$
    • Alyssa M. Armstrong and Kailash C. Misra — A note on $U_q(D_4^{(3)})$-Demazure crystals
    • Lisa Carbone, Walter Freyn and Kyu-Hwan Lee — Dimensions of imaginary root spaces of hyperbolic Kac–Moody algebras
    • Ismail Demir, Kailash C. Misra and Ernie Stitzinger — On some structures of Leibniz algebras
    • Stephen Doty and Yiqiang Li — A geometric construction of generalized $q$-Schur algebras
    • Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez — On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak {sl}(3)$
    • Ivan Chi-Ho Ip and Anton M. Zeitlin — Supersymmetry and the modular double
    • Dijana Jakelić and Adriano Moura — On Weyl modules for quantum and hyper loop algebras
    • Naihuan Jing and Chongbin Xu — Toroidal Lie superalgebras and free field representations
    • E. Kirkman, J. Kuzmanovich and J. J. Zhang — Invariants of $(-1)$-skew polynomial rings under permutation representations
    • Gongxiang Liu and Siu-Hung Ng — On total Frobenius-Schur indicators
    • Ivan Mirković — Loop Grassmannians in the framework of local spaces over a curve
    • Toshiki Nakashima — Decorated geometric crystals and polyhedral realizations of type $D_n$
    • Brian J. Parshall and Leonard L. Scott — Some Koszul properties of standard and irreducible modules
    • Anton M. Zeitlin — On higher order Leibniz identities in TCFT
  • 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: 6232014; 280 pp
MSC: Primary 14; 16; 17; 20; 81

This volume contains the proceedings of two AMS Special Sessions “Geometric and Algebraic Aspects of Representation Theory” and “Quantum Groups and Noncommutative Algebraic Geometry” held October 13–14, 2012, at Tulane University, New Orleans, Louisiana.

Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac–Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.

Readership

Graduate students and research mathematicians interested in representation theory.

  • Articles
  • Dražen Adamović — A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{(1)}$
  • Alyssa M. Armstrong and Kailash C. Misra — A note on $U_q(D_4^{(3)})$-Demazure crystals
  • Lisa Carbone, Walter Freyn and Kyu-Hwan Lee — Dimensions of imaginary root spaces of hyperbolic Kac–Moody algebras
  • Ismail Demir, Kailash C. Misra and Ernie Stitzinger — On some structures of Leibniz algebras
  • Stephen Doty and Yiqiang Li — A geometric construction of generalized $q$-Schur algebras
  • Vyacheslav Futorny, Dimitar Grantcharov and Luis Enrique Ramirez — On the classification of irreducible Gelfand-Tsetlin modules of $\mathfrak {sl}(3)$
  • Ivan Chi-Ho Ip and Anton M. Zeitlin — Supersymmetry and the modular double
  • Dijana Jakelić and Adriano Moura — On Weyl modules for quantum and hyper loop algebras
  • Naihuan Jing and Chongbin Xu — Toroidal Lie superalgebras and free field representations
  • E. Kirkman, J. Kuzmanovich and J. J. Zhang — Invariants of $(-1)$-skew polynomial rings under permutation representations
  • Gongxiang Liu and Siu-Hung Ng — On total Frobenius-Schur indicators
  • Ivan Mirković — Loop Grassmannians in the framework of local spaces over a curve
  • Toshiki Nakashima — Decorated geometric crystals and polyhedral realizations of type $D_n$
  • Brian J. Parshall and Leonard L. Scott — Some Koszul properties of standard and irreducible modules
  • Anton M. Zeitlin — On higher order Leibniz identities in TCFT
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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