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Softcover ISBN:  9780821898529 
Product Code:  CONM/623 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/623.E 
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MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821898529 
eBook ISBN:  9781470419295 
Product Code:  CONM/623.B 
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Book DetailsContemporary MathematicsVolume: 623; 2014; 280 ppMSC: 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.
ReadershipGraduate 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 KyuHwan 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 GelfandTsetlin modules of $\mathfrak {sl}(3)$

Ivan ChiHo 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 SiuHung Ng — On total FrobeniusSchur 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

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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.
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 KyuHwan 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 GelfandTsetlin modules of $\mathfrak {sl}(3)$

Ivan ChiHo 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 SiuHung Ng — On total FrobeniusSchur 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