Lie Theory and Its Applications in Physics Varna Bulgaria June 2019 1st Edition by Vladimir Dobrev 9811577758 9789811577758

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ISBN-10 :  9811577758 

ISBN-13 : 9789811577758

Author: Vladimir Dobrev 

Lie Theory and Its Applications in Physics Varna Bulgaria June 2019 1st Table of contents:

1. Topics on Global Analysis of Manifolds and Representation Theory of Reductive Groups
2. A Hidden Symmetry of a Branching Law
3. Exceptional Quantum Algebra for the Standard Model of Particle Physics
4. Polylogarithms from the Bound State S-matrix
5. Meta-conformal Invariance and Their Covariant Correlation Functions
6. Infinite Spin Particles and Superparticles
7. Supersymmetric Calogero-Type Models via Gauging in Superspace
8. The Octagon Form Factor in SYM and Free Fermions
9. Nöther’s Second Theorem as an Obstruction to Charge Quantization
10. Entanglement and the Infrared
11. Comments on the Newlander-Nirenberg Theorem
12. A Class of Representations of the Orthosymplectic Lie Superalgebras and
13. Recent Progress on Yang-Baxter Deformation and Generalized Supergravity
14. Gauge Theories on Fuzzy Spaces and Gravity
15. String Theories and Gravity Theories
16. Modified Gravity Theories Based on the Non-canonical Volume-Form Formalism
17. Non-linear Symmetries in Maxwell-Einstein Gravity: From Freudenthal Duality to Pre-homogeneous Vector Spaces
18. Phase Transitions at High Supersymmetry Breaking Scale in String Theory
19. Exotic Branes and Exotic Dualities in Supergravity
20. Thermodynamic Information Geometry and Applications in Holography
21. The Role of the Slope in the Multi-measure Cosmological Model
22. Gauge Theory of Gravity Based on the Correspondence Between the and the Order Formalisms
23. Integrable Systems
24. Nested Bethe Ansatz for RTT–Algebra of  Type
25. Equivalence Groupoid and Enhanced Group Classification of a Class of Generalized Kawahara Equations
26. Interplay between Minimal Gravity and Intersection Theory
27. Generalized Macdonald Functions, AGT Correspondence and Intertwiners of DIM Algebra
28. Representation Theory
29. Closures of K-orbits in the Flag Variety for
30. Action of the Restricted Weyl Group on the L-Invariant Vectors of a Representation
31. Hom-Lie Structures on Complex 4-Dimensional Lie Algebras
32. Multiplet Classification and Invariant Differential Operators over the Lie Algebra
33. An Exceptional Symmetry Algebra for the 3D Dirac–Dunkl Operator
34. Graphene Dots via Discretizations of Weyl-Orbit Functions
35. A Construction of -modules over Commutative Rings
36. Lie Groups Actions on Non Orientable Klein Surfaces
37. Quantum Groups and Deformations
38. Quantum Diagonal Algebra and Pseudo-Plactic Algebra
39. Contractions of Realizations
40. Multi-parameter Formal Deformations of Ternary Hom-Nambu-Lie Algebras
41. Applications to Quantum Theory
42. Meta-conformal Invariance in the Directed Glauber-Ising Chain
43. Relativistic Three-Body Harmonic Oscillator
44. An Introduction to Spectral Regularization for Quantum Field Theory
45. Relative Quantum States, Observations and Moduli Stacks
46. Dynamical Generation of Flavour Vacuum
47. A Representation of the Wave-Function on 3-Dimensional Space
48. Various Mathematical Results
49. On a Grothendieck-Brieskorn Relation for Elliptic Calabi-Yaus
50. Control and Composability in Deep Learning — Brief Overview by a Learner
51. Lie Theory and Infinitesimal Extensions in Algebraic Geometry
52. The Low-Dimensional Algebraic Cohomology of the Witt and the Virasoro Algebra with Values in General Tensor Densities Modules
53. Derivations and Automorphisms of Free Nilpotent Lie Algebras and Their Quotients

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