Lie Theory and Its Applications in Physics (eBook)

Luigi Accardi, Abdessatar Barhoumi, Yun Gang Lu, andMohamed Rhaima: *–Lie Algebras Canonically Associated to Probability Measures on R with All Moments.- Loriano Bonora: Special Conformal Transformations and Contact Terms.- Ivan Dimitrijevic, Branko Dragovich, Jelena Stankovic, Alexey S. Koshelev, and Zoran Rakic: On Nonlocal Modified Gravity and Its Cosmological Solutions.- Malte Henkel: Kinetics of Interface Growth: Physical Ageing and Dynamical Symmetries.- Evgeny Ivanov and Stepan Sidorov: News on SU(2|1) Supersymmetric Mechanics.- Toshiyuki Kobayashi: Intrinsic Sound of Anti-de Sitter Manifolds.- Efrat Gerchkovitz and Zohar Komargodski: Sphere Partition Functions and the Kahler Metric on the Conformal Manifold.- Mikhail V. Ignatyev, Ivan Penkov, and Joseph A. Wolf: Real Group Orbits on Flag Ind-Varieties of SL(∞,C).- Raul Gomez and Birgit Speh: Derived functors and Intertwining operators for Principal Series Representations of SL2(R).- Ivan Todorov: Hyperlogarithms and Periods in Feynman Amplitudes.- N.I. Stoilova and J. Van der Jeugt: The Parastatistics Fock Space and Explicit Infinite-Dimensional Representations of the Lie Superalgebra osp(2m+1|2n).- Joseph A. Wolf: Stepwise Square Integrable Representations: the Concept and Some Consequences.- G. Manolakos and G. Zoupanos: Higher-Dimensional Unified Theories with Continuous and Fuzzy Coset Spaces as Extra Dimensions.- Fumihiko Sugino: Higher Genus Amplitudes in SUSY Double-Well Matrix Model for 2D IIA Superstring.- Eduardo Guendelman, Emil Nissimov, Svetlana Pacheva, and Michail Stoilov: Kruskal-Penrose Formalism for Lightlike Thin-Shell Wormholes.- Eduardo Guendelman, Emil Nissimov, and Svetlana Pacheva: Metric-Independent Spacetime Volume-Forms and Dark Energy/Dark Matter Unification.- Hervé Partouche: Large Volume Supersymmetry Breaking without Decompactification Problem.- Lilia Anguelova: Glueball Inflation and Gauge/Gravity Duality.- Ovidiu Cristinel Stoica: Degenerate Metrics and Their Applications to Spacetime.- Denitsa Staicova and Plamen Fiziev: The Heun Functions and Their Applications in Astrophysics.- Chihiro Matsui: Boundary Effects on the Supersymmetric Sine-Gordon Model through Light-cone Lattice Regularization.- Roberto Bondesan and Thomas Quella: Infinite Dimensional Matrix Product States for Long-Range Quantum Spin Models.- Olena Vaneeva, Yuri Karadzhov, and Christodoulos Sophocleous: Group Analysis of a Class of Nonlinear Kolmogorov Equations.- Lachezar S. Georgiev: Thermoelectric Characteristics of Zk Parafermion Coulomb Islands.- Paolo Lorenzoni and Andrea Savoldi: First Order Hamiltonian Operators of Differential-Geometric Type in 2D.- Oksana Kuriksha and Olena Magda: Exact Solutions for Generalized KdV Equations with Variable Coefficients Using the Equivalence Method.- Pavle Pandzić: Classifying Aq(λ) Modules by Their Dirac Cohomology.- Nurit Barnea and Anna Melnikov: B-orbits in Abelian Nilradicals of Types B, C and D: Towards a Conjecture of Panyushev.- Vladimir K. Dobrev and Patrick Moylan: Anti de Sitter Holography via Sekiguchi Decomposition.- Patrick Moylan: Localization and the Canonical Commutation Relations.- Igor Salom and V. Dmitrasinović: Permutation-Symmetric Three-Body O(6) Hyperspherical Harmonics in Three Spatial Dimensions.- Todor Popov: Quantum Plactic and Pseudo-Plactic Algebras.- Stoimen Stoimenov and Malte Henkel: Conformal Invariance of the 1D Collisionless Boltzmann Equation.- Toshihisa Kubo: On Reducibility Criterions for Scalar Generalized Verma Modules Associated to Maximal Parabolic Subalgebras.- Elena Poletaeva: On FiniteW-Algebras for Lie Superalgebras in Non-Regular Case.- Sigiswald Barbier and Kevin Coulembier: The Joseph Ideal for sl(mjn).- Ludmil Hadjiivanov and Paolo Furlan: "Spread" Restricted Young Diagrams from a 2D WZNW Dynamical Quantum Group.- Tomoyuki Arakawa, Hiromichi Yamada, and Hiroshi Yamauchi: Vertex Operator Algebras Associated with Z/kZ-Codes.- Nikolay M. Nikolov: Vertex Algebras in Higher Dimensions Are Homotopy Equivalent to Vertex Algebras in Two Dimensions.- Anastasia Stavrova: Automorphisms of Multiloop Lie Algebras.- Maryna Nesterenko and Severin Posta: Contraction Admissible Pairs of Complex Six-Dimensional Nilpotent Lie Algebras.- R.M. Navarro: About Filiform Lie Algebras of Order 3.- Roy Oste and Joris Van der Jeugt: Algebraic Structures Related to Racah Doubles.- Antonio J. Calderón Martín and Diouf Mame: A Note on Strongly Graded Lie Algebras.- Tatyana Barron and David Itkin: Toeplitz Operators with Discontinuous Symbols on the Sphere.- J. Aragona, P. Catuogno, J.F. Colombeau, S.O. Juriaans, Ch. Olivera: Multiplication of Distributions in Mathematical Physics.- Alexander Ganchev: About Arbitrage and Holonomy.- Ilya I. Ryzhkov and Irina V. Stepanova: On Some Exact Solutions of Heat and Mass Transfer Equations with Variable Transport Coefficients.- Baran Serajelahi: A Star Product for the Volume Form Nambu-Poisson Structure on a Kähler Manifold