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Recent Developments in Lie Algebras, Groups and Representation Theory

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
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Hardcover ISBN: 978-0-8218-6917-8
Product Code: PSPUM/86
List Price: $85.00 MAA Member Price:$76.50
AMS Member Price: $68.00 Electronic ISBN: 978-0-8218-9392-0 Product Code: PSPUM/86.E List Price:$80.00
MAA Member Price: $72.00 AMS Member Price:$64.00
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List Price: $127.50 MAA Member Price:$114.75
AMS Member Price: $102.00 Click above image for expanded view Recent Developments in Lie Algebras, Groups and Representation Theory 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 Available Formats:  Hardcover ISBN: 978-0-8218-6917-8 Product Code: PSPUM/86  List Price:$85.00 MAA Member Price: $76.50 AMS Member Price:$68.00
 Electronic ISBN: 978-0-8218-9392-0 Product Code: PSPUM/86.E
 List Price: $80.00 MAA Member Price:$72.00 AMS Member Price: $64.00 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$127.50 MAA Member Price: $114.75 AMS Member Price:$102.00
• Book Details

Proceedings of Symposia in Pure Mathematics
Volume: 862012; 310 pp
MSC: Primary 17; 20;

This book contains the proceedings of the 2009–2011 Southeastern Lie Theory Workshop Series, held October 9–11, 2009 at North Carolina State University, May 22–24, 2010, at the University of Georgia, and June 1–4, 2011 at the University of Virginia.

Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.

Graduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.

• Articles
• Pramod N. Achar - Perverse coherent sheaves on the nilpotent cone in good characteristic
• Christopher P. Bendel, Daniel K. Nakano and Cornelius Pillen - On the vanishing ranges for the cohomology of finite groups of Lie type II
• Matthew Bennett and Vyjayanthi Chari - Tilting modules for the current algebra of a simple Lie algebra
• Jon F. Carlson - Endotrivial modules
• Shun-Jen Cheng, Ngau Lam and Weiqiang Wang - Super duality for general linear Lie superalgebras and applications
• Jie Du - Structures and representations of affine $q$-Schur algebras
• Andrew Francis and Lenny Jones - Multiplicative bases for the centres of the group algebra and Iwahori-Hecke algebra of the symmetric group
• Robert L. Griess Jr. - Moonshine paths and a VOA existence proof of the Monster
• Robert Guralnick and Gunter Malle - Characteristic polynomials and fixed spaces of semisimple elements
• David J. Hemmer - “Frobenius twists” in the representation theory of the symmetric group
• Jonathan Kujawa - The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra $\mathfrak {osp}(m|2n)$
• Shrawan Kumar - An approach towards the Kollár-Peskine problem via the Instanton Moduli Space
• G. Lusztig - On the representations of disconnected reductive groups over $F_q$
• Brian J. Parshall and Leonard L. Scott - Forced gradings in integral quasi-hereditary algebras with applications to quantum groups
• Brian J. Parshall and Leonard L. Scott - A semisimple series for $q$-Weyl and $q$-Specht modules

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Volume: 862012; 310 pp
MSC: Primary 17; 20;

This book contains the proceedings of the 2009–2011 Southeastern Lie Theory Workshop Series, held October 9–11, 2009 at North Carolina State University, May 22–24, 2010, at the University of Georgia, and June 1–4, 2011 at the University of Virginia.

Some of the articles, written by experts in the field, survey recent developments while others include new results in Lie algebras, quantum groups, finite groups, and algebraic groups.

Graduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.

• Articles
• Pramod N. Achar - Perverse coherent sheaves on the nilpotent cone in good characteristic
• Christopher P. Bendel, Daniel K. Nakano and Cornelius Pillen - On the vanishing ranges for the cohomology of finite groups of Lie type II
• Matthew Bennett and Vyjayanthi Chari - Tilting modules for the current algebra of a simple Lie algebra
• Jon F. Carlson - Endotrivial modules
• Shun-Jen Cheng, Ngau Lam and Weiqiang Wang - Super duality for general linear Lie superalgebras and applications
• Jie Du - Structures and representations of affine $q$-Schur algebras
• Andrew Francis and Lenny Jones - Multiplicative bases for the centres of the group algebra and Iwahori-Hecke algebra of the symmetric group
• Robert L. Griess Jr. - Moonshine paths and a VOA existence proof of the Monster
• Robert Guralnick and Gunter Malle - Characteristic polynomials and fixed spaces of semisimple elements
• David J. Hemmer - “Frobenius twists” in the representation theory of the symmetric group
• Jonathan Kujawa - The generalized Kac-Wakimoto conjecture and support varieties for the Lie superalgebra $\mathfrak {osp}(m|2n)$
• Shrawan Kumar - An approach towards the Kollár-Peskine problem via the Instanton Moduli Space
• G. Lusztig - On the representations of disconnected reductive groups over $F_q$
• Brian J. Parshall and Leonard L. Scott - Forced gradings in integral quasi-hereditary algebras with applications to quantum groups
• Brian J. Parshall and Leonard L. Scott - A semisimple series for $q$-Weyl and $q$-Specht modules
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