Dobrev, Vladimir

Lie Theory and Its Applications in Physics

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ISBN: 9784431542704

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Table of contents

Part I. Plenary Talks

1. A Lump Solution in SFT
Loriano Bonora

2. Towards p-Adic Matter in the Universe
Branko Dragovich

3. Palev Statistics and the Chronon
David Ritz Finkelstein

4. Some Remarks on Weierstrass Sections, Adapted Pairs and Polynomiality
Anthony Joseph

5. From Palev’s Study of Wigner Quantum Systems to New Results on Sums of Schur Functions
Ronald C. King

6. Varna Lecture on L
2-Analysis of Minimal Representations
Toshiyuki Kobayashi

7. Exponential Series Without Denominators
Jean-Louis Loday

8. New Methods in Conformal Partial Wave Analysis
Christoph Neumann, Karl-Henning Rehren, Lena Wallenhorst

9. Euclidean Configuration Space Renormalization, Residues and Dilation Anomaly
Nikolay M. Nikolov, Raymond Stora, Ivan Todorov

10. Wigner Quantization and Lie Superalgebra Representations
Joris Jeugt

Part II. Quantum Field Theory

11. Spontaneous Breaking of Supersymmetry, Localization and Nicolai Mapping in Matrix Models
Fumihiko Sugino

12. Mirror Map as Generating Function of Intersection Numbers
Masao Jinzenji

13. Operadic Construction of the Renormalization Group
Jean-Louis Loday, Nikolay M. Nikolov

Part III. String and Gravity Theories

14. Lightlike Braneworlds in Anti-de Sitter Bulk Space-Times
Eduardo Guendelman, Alexander Kaganovich, Emil Nissimov, Svetlana Pacheva

15. Generalized Bernoulli Polynomials and the Casimir Effect in the Einstein Universe
Patrick Moylan

16. From Singularities to Algebras to Pure Yang–Mills with Matter
Tamar Friedmann

17. On Modified Gravity
Ivan Dimitrijevic, Branko Dragovich, Jelena Grujic, Zoran Rakic

Part IV. Quantum Groups and Related Objects

18. The q-Wakimoto Realization of the Superalgebras U_q(sl(N|1))U_{q,p}(sl(N|1))
Takeo Kojima

19. Quantum Phases in Noncommutative Space
Ö. F. Dayi, B. Yapışkan

20. On Quantum WZNW Monodromy Matrix: Factorization, Diagonalization, and Determinant
Ludmil Hadjiivanov, Paolo Furlan

Part V. Representation Theory

21. Some Properties of Planar Galilean Conformal Algebras
Naruhiko Aizawa

22. Invariant Differential Operators for Non-compact Lie Groups: The Sp(n, IR) Case
V. K. Dobrev

23. Generalization of the Gell–Mann Decontraction Formula for sl(n, R) and Its Applications in Affine Gravity
Igor Salom, Djordje Šijački

24. W-Algebras Extending gl(1vert 1)

Thomas Creutzig, David Ridout

25. Non-Local Space-Time Transformations Generated from the Ageing Algebra
Stoimen Stoimenov, Malte Henkel

26. Construction of the Noncommutative Rank I Bergman Domain
Zhituo Wang

Part VI. Vertex Algebras

27. Singular Vectors and Zhu’s Poisson Algebra of Parafermion Vertex Operator Algebras
Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada

28. Boson-Fermion Correspondence of Type B and Twisted Vertex Algebras
Iana I. Anguelova

29. On Twisted Modules for N=2 Supersymmetric Vertex Operator Superalgebras
Katrina Barron

Part VII. Integrability and Other Applications

30. The Ruijsenaars Self-Duality Map as a Mapping Class Symplectomorphism
L. Fehér, C. Klimčík

31. Hilbert Space Decomposition for Coulomb Blockade in Fabry–Pérot Interferometers
Lachezar S. Georgiev

32. Group Classification of Variable Coefficient KdV-like Equations
Olena Vaneeva

33. A New Diffeomorphism Symmetry Group of Magnetohydrodynamics
Asher Yahalom

34. Invariance Properties of the Exceptional Quantum Mechanics (F
4) and Its Generalization to Complex Jordan Algebras (E
Sultan Catto, Yoon S. Choun, Levent Kurt

35. Matrix Superpotentials
Yuri Karadzhov

Part VIII. Various Mathematical Results

36. On Finite W-Algebras for Lie Superalgebras in the Regular Case
Elena Poletaeva, Vera Serganova

37. Young Tableaux and Homotopy Commutative Algebras
Michel Dubois-Violette, Todor Popov

38. Fixed Point Factorization
Elaine Beltaos

39. Differential Invariants of Second-Order Ordinary Differential Equations
M. Eugenia Rosado María

40. Some Properties of Harmonic Quasi-Conformal Mappings
Miljan Knežević

41. A Note on the Categorification of Lie Algebras
Isar Goyvaerts, Joost Vercruysse

42. A Continuous Bialgebra Structure on a Loop Algebra
Rémi Léandre

Avainsanat: Mathematics, Algebra, Topological Groups, Lie Groups, Geometry, Mathematical Physics

Springer Proceedings in Mathematics & Statistics
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