Quantum groups and Lie theory /
Quantum groups and Lie theory /
edited by Andrew Pressley.
- Cambridge, UK ; New York, NY : Cambridge University Press, 2001.
- 1 online resource (viii, 234 pages) : illustrations
- London Mathematical Society lecture note series ; 290 .
- London Mathematical Society lecture note series ; 290. .
Record of some lectures presented at the LMS Durham Symposium on Quantum Groups, held July 19-29, 1999, at Grey College, University of Durham.
Includes bibliographical references.
Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl.
This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.
0511065221 (electronic bk.) 9780511065224 (electronic bk.) 9780511542848 (electronic bk.) 0511542844 (electronic bk.)
Quantum groups--Congresses.
Lie groups--Congresses.
Mathematical physics--Congresses.
Quantum groups--Congresses.
Lie groups--Congresses.
Mathematical physics--Congresses.
Groupes quantiques--Congrès.
Groupes de Lie--Congrès.
Physique mathématique--Congrès.
Groupes quantiques--Congrès.
Groupes de Lie--Congrès.
Physique mathématique--Congrès.
SCIENCE--Physics--Mathematical & Computational.
Lie groups.
Mathematical physics.
Quantum groups.
Lie-Gruppe
Mathematische Physik
Quantengruppe
Kwantumgroepen.
Lie-groepen.
Grupos quânticos.
Álgebra.
Andre fag (naturvidenskab og teknik) Andre fag
Electronic book.
Electronic books.
Conference papers and proceedings.
Durham (1999)
Kongress.
QC20.7.G76 / Q82 2001eb
530.15/255
Record of some lectures presented at the LMS Durham Symposium on Quantum Groups, held July 19-29, 1999, at Grey College, University of Durham.
Includes bibliographical references.
Lectures on cyclotomic Hecke algebras / Susumu Ariki -- An introduction to group doublecross products and some uses / Edwin Beggs -- Canonical bases and piecewise-linear combinatorics / Roger Carter & Robert Marsh -- Integrable and Weyl modules for quantum affine sl₂ / Vyjayanthi Chari & Andrew Pressley -- Notes on balanced categories and Hopf algebras / Bernhard Drabant -- Lectures on the dynamical Yang-Baxter equations / Pavel Etinghof & Olivier Schiffmann -- Quantized primitive ideal spaces as quotients of affine algebraic varieties / K.R. Goodearl -- Representations of semisimple Lie algebras in positive characteristic and quantum groups at roots of unity / Iain Gordon -- The Yang-Baxter equation for operators on function fields / Jintai Ding & Timothy J. Hodges -- Noncommutative differential geometry and twisting of quantum groups / Shahn Majid -- Finite quantum groups and pointed Hopf algebras / Ian M. Musson -- On some two parameter quantum and Jordanian deformations, and their coloured extensions / Deepak Parashar & Roger J. McDermott -- Tensor categories and Braid reprentations / Hans Wenzl.
This book comprises an overview of the material presented at the 1999 Durham Symposium on Quantum Groups and includes contributions from many of the world's leading figures in this area. It will be of interest to researchers and will also be useful as a reference text for graduate courses.
0511065221 (electronic bk.) 9780511065224 (electronic bk.) 9780511542848 (electronic bk.) 0511542844 (electronic bk.)
Quantum groups--Congresses.
Lie groups--Congresses.
Mathematical physics--Congresses.
Quantum groups--Congresses.
Lie groups--Congresses.
Mathematical physics--Congresses.
Groupes quantiques--Congrès.
Groupes de Lie--Congrès.
Physique mathématique--Congrès.
Groupes quantiques--Congrès.
Groupes de Lie--Congrès.
Physique mathématique--Congrès.
SCIENCE--Physics--Mathematical & Computational.
Lie groups.
Mathematical physics.
Quantum groups.
Lie-Gruppe
Mathematische Physik
Quantengruppe
Kwantumgroepen.
Lie-groepen.
Grupos quânticos.
Álgebra.
Andre fag (naturvidenskab og teknik) Andre fag
Electronic book.
Electronic books.
Conference papers and proceedings.
Durham (1999)
Kongress.
QC20.7.G76 / Q82 2001eb
530.15/255