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The Guest Editors for this special issue are
Richard Borcherds (University of California, Berkeley, USA)
Edward Frenkel (University of California, Berkeley, USA)
Victor Kac (Massachusetts Institute of Technology, USA)
Robert Moody (University of Victoria, Canada)
Jiri Patera (Université de Montréal, Canada)
Arturo Pianzola (University of Alberta, Canada)
Pierre Ramond (University of Florida, USA)
Kac–Moody algebras are named after independent papers by Victor Kac
and Robert Moody both published in 1968.
These algebras, especially affine Lie algebras, have various
applications in theoretical and mathematical physics (for example in
conformal field theory and theory of exactly solvable models), geometry, etc.
This special issue is devoted to 40th anniversary of Kac–Moody algebras.
The issue contains 20 papers with the total of 569 pages.
We would like to thank all the authors who have published papers in
the issue, and to give our special thanks to all the referees for
providing constructive reviews.
The Guest Editors
Papers in this Issue:
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Classification of Finite Dimensional Modular Lie Superalgebras with Indecomposable Cartan Matrix
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Sofiane Bouarroudj, Pavel Grozman and Dimitry Leites
SIGMA 5 (2009), 060, 63 pages [ abs
pdf ps ]
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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
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Luigi Accardi and Andreas Boukas
SIGMA 5 (2009), 056, 31 pages [ abs
pdf ps ]
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Singularities of Affine Schubert Varieties
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Jochen Kuttler and Venkatramani Lakshmibai
SIGMA 5 (2009), 048, 31 pages [ abs
pdf ps ]
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Homological Algebra and Divergent Series
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Vassily Gorbounov and Vadim Schechtman
SIGMA 5 (2009), 034, 31 pages [ abs
pdf ps ]
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Vector Fields on the Space of Functions Univalent Inside the Unit Disk via Faber Polynomials
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Helene Airault
SIGMA 5 (2009), 032, 11 pages [ abs
pdf ps ]
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Induced Modules for Affine Lie Algebras
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Vyacheslav Futorny and Iryna Kashuba
SIGMA 5 (2009), 026, 14 pages [ abs
pdf ps ]
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The Group of Quasisymmetric Homeomorphisms of the
Circle and Quantization of the Universal Teichmüller Space
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Armen G. Sergeev
SIGMA 5 (2009), 015, 20 pages [ abs
pdf ps ]
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Simple Finite Jordan Pseudoalgebras
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Pavel Kolesnikov
SIGMA 5 (2009), 014, 17 pages [ abs
pdf ps ]
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Self-Consistent-Field Method and τ-Functional Method
on Group Manifold in Soliton Theory: a Review and New Results
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Seiya Nishiyama, João da Providência, Constança Providência, Flávio Cordeiro and Takao Komatsu
SIGMA 5 (2009), 009, 76 pages [ abs
pdf ps ]
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Quiver Varieties and Branching
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Hiraku Nakajima
SIGMA 5 (2009), 003, 37 pages [ abs
pdf ps ]
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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
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Drazen Adamovic and Antun Milas
SIGMA 4 (2008), 087, 24 pages [ abs
pdf ps ]
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Vertex Algebroids over Veronese Rings
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Fyodor Malikov
SIGMA 4 (2008), 086, 28 pages [ abs
pdf ps ]
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String Functions for Affine Lie Algebras Integrable Modules
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Petr Kulish and Vladimir Lyakhovsky
SIGMA 4 (2008), 085, 18 pages [ abs
pdf ps ]
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Generating Series for Nested Bethe Vectors
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Sergey Khoroshkin and Stanislav Pakuliak
SIGMA 4 (2008), 081, 23 pages [ abs
pdf ps ]
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Non-Gatherable Triples for Non-Affine Root Systems
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Ivan Cherednik and Keith Schneider
SIGMA 4 (2008), 079, 12 pages [ abs
pdf ps ]
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The PBW Filtration, Demazure Modules and Toroidal Current Algebras
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Evgeny Feigin
SIGMA 4 (2008), 070, 21 pages [ abs
pdf ps ]
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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
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Doug Pickrell
SIGMA 4 (2008), 069, 33 pages [ abs
pdf ps ]
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Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
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Miranda C.N. Cheng and Erik P. Verlinde
SIGMA 4 (2008), 068, 33 pages [ abs
pdf ps ]
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Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
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Dmitry Fuchs and Constance Wilmarth
SIGMA 4 (2008), 059, 11 pages [ abs
pdf ps ]
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On Griess Algebras
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Michael Roitman
SIGMA 4 (2008), 057, 35 pages [ abs
pdf ps ]
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