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Conference International Workshop on Lie Theory and Its Applications in Physics (9th : 2011 : Bulgarian Academy of Sciences)
Title Lie theory and its applications in physics : IX International Workshop / Vladimir Dobrev, editor.
Imprint Tokyo ; New York : Springer, 2013.

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Conference International Workshop on Lie Theory and Its Applications in Physics (9th : 2011 : Bulgarian Academy of Sciences)
Series Springer proceedings in mathematics & statistics, 2194-1009 ; v. 36
Springer proceedings in mathematics & statistics ; v. 36.
Subject Lie algebras -- Congresses.
Mathematical physics -- Congresses.
Alt Name Dobrev, V. K.
Description 1 online resource.
Contents Part I Plenary Talks. A Lump Solution in SFT / Loriano Bonora -- Towards p-Adic Matter in the Universe / Branko Dragovich -- Palev Statistics and the Chronon / David Ritz Finkelstein -- Some Remarks on Weierstrass Sections, Adapted Pairs and Polynomiality / Anthony Joseph -- From Palev's Study of Wigner Quantum Systems to New Results on Sums of Schur Functions / Ronald C. King -- Varna Lecture on L²-Analysis of Minimal Representations / Toshiyuki Kobayashi -- Exponential Series Without Denominators / Jean-Louis Loday -- New Methods in Conformal Partial Wave Analysis / Christoph Neumann, Karl-Henning Rehren, Lena Wallenhorst -- Euclidean Configuration Space Renormalization, Residues and Dilation Anomaly / Nikolay M. Nikolov, Raymond Stora, Ivan Todorov -- Wigner Quantization and Lie Superalgebra Representations / Joris Van der Jeugt.
Part II Quantum Field Theory. Spontaneous Breaking of Supersymmetry, Localization and Nicolai Mapping in Matrix Models / Fumihiko Sugino -- Mirror Map as Generating Function of Intersection Numbers / Masao Jinzenji -- Operadic Construction of the Renormalization Group / Jean-Louis Loday, Nikolay M. Nikolov.
Part III String and Gravity Theories. Lightlike Braneworlds in Anti-de Sitter Bulk Space-Times / Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva -- Generalized Bernoulli Polynomials and the Casimir Effect in the Einstein Universe / Patrick Moylan -- From Singularities to Algebras to Pure Yang-Mills with Matter / Tamar Friedmann -- On Modified Gravity / Ivan Dimitrijevic, Branko Dragovich, Jelena Grujic, Zoran Rakic.
Part IV Quantum Groups and Related Objects. The q-Wakimoto Realization of the Superalgebras Uq(sl̂(N[vertical bar]1)) and Uq, p(sl̂(N[vertical bar]1)) / Takeo Kojima -- Quantum Phases in Noncommutative Space / O. F. Dayi, B. Yapskan -- On Quantum WZNW Monodromy Matrix: Factorization, Diagonalization, and Determinant / Ludmil Hadjiivanov, Paolo Furlan.
Part V Representation Theory. Some Properties of Planar Galilean Conformal Algebras / Naruhiko Aizawa -- Invariant Differential Operators for Non-compact Lie Groups: The Sp(n, IR) Case / V.K. Dobrev -- Generalization of the Gell-Mann Decontraction Formula for sl(n, R) and Its Applications in Affine Gravity / Igor Salom, Djordje Sijacki -- W-Algebras Extending gl̂(1[vertical bar]1) / Thomas Creutzig, David Ridout -- Non-Local Space-Time Transformations Generated from the Ageing Algebra / Stoimen Stoimenov, Malte Henkel -- Construction of the Noncommutative Rank I Bergman Domain / Zhituo Wang.
Part VI Vertex Algebras. Singular Vectors and Zhu's Poisson Algebra of Parafermion Vertex Operator Algebras / Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada -- Boson-Fermion Correspondence of Type B and Twisted Vertex Algebras / Iana I. Anguelova -- On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras / Katrina Barron.
Part VII Integrability and Other Applications. The Ruijsenaars Self-Duality Map as a Mapping Class Symplectomorphism / L. Feher, C. Klimcik -- Hilbert Space Decomposition for Coulomb Blockade in Fabry-Perot Interferometers / Lachezar S. Georgiev -- Group Classification of Variable Coefficient KdV-like Equations / Olena Vaneeva -- A New Diffeomorphism Symmetry Group of Magnetohydrodynamics / Asher Yahalom -- Invariance Properties of the Exceptional Quantum Mechanics (F₃) and Its Generalization to Complex Jordan Algebras (E₅) / Sultan Catto, Yoon S. Choun, Levent Kurt -- Matrix Superpotentials / Yuri Karadzhov.
Part VIII Various Mathematical Results. On Finite W-Algebras for Lie Superalgebras in the Regular Case / Elena Poletaeva, Vera Serganova -- Young Tableaux and Homotopy Commutative Algebras / Michel Dubois-Violette, Todor Popov -- Fixed Point Factorization / Elaine Beltaos -- Differential Invariants of Second-Order Ordinary Differential Equations / M. Eugenia Rosado Maria -- Some Properties of Harmonic Quasi-Conformal Mappings / Miljan Knezevic -- A Note on the Categorification of Lie Algebras / Isar Goyvaerts, Joost Vercruysse -- A Continuous Bialgebra Structure on a Loop Algebra / Remi Leandre.
Bibliography Note Includes bibliographical references.
Summary Covers recent trends in the field of Lie theory, including representation theory, quantum field theory, string theory, (super- )gravity theories, conformal field theory, supersymmetry, quantum groups, vertex algebras, and integrability. Presents samples of these new trends based on contributions from the Workshop Lie Theory and Its Applications in Physics held near Varna, Bulgaria, in June 2011.
ISBN 9784431542704 (electronic bk.)
4431542701 (electronic bk.)
ISBN/ISSN 10.1007/978-4-431-54270-4
OCLC # 840402933
Additional Format Printed edition: 9784431542698

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