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Product Code:  PSPUM/86 
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Electronic ISBN:  9780821893920 
Product Code:  PSPUM/86.E 
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 86; 2012; 310 ppMSC: 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.ReadershipGraduate students and research mathematicians interested in representation theory, Lie algebras, quantum groups, and algebraic groups.

Table of Contents

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

ShunJen 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 IwahoriHecke 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 KacWakimoto conjecture and support varieties for the Lie superalgebra $\mathfrak {osp}(m2n)$

Shrawan Kumar  An approach towards the KollárPeskine 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 quasihereditary 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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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

ShunJen 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 IwahoriHecke 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 KacWakimoto conjecture and support varieties for the Lie superalgebra $\mathfrak {osp}(m2n)$

Shrawan Kumar  An approach towards the KollárPeskine 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 quasihereditary algebras with applications to quantum groups

Brian J. Parshall and Leonard L. Scott  A semisimple series for $q$Weyl and $q$Specht modules