GREATER KENYIR: LANDSCAPE, SOCIAL DEVELOPMENT AND ENVIRONMENTAL SUSTAINABILITY -- The weather and climate of tropical Kenyir Lake, Terengganu -- Water quality status in Kenyir Lake, Malaysia: a preliminary assessment -- Comparative study of physico-chemical analyses of different water sources in Setiu Wetland, Terengganu -- A baseline assessment on the distributions and sources of aliphatic and…
Generalities on Poisson Structures -- Poisson Cohomology -- Levi Decomposition -- Linearization of Poisson Structures -- Multiplicative and Quadratic Poisson Structures -- Nambu Structures and Singular Foliations -- Lie Groupoids -- Lie Algebroids.Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical …
Living in a fearscape? -- Western paradoxes of security and fear -- Us and Them: otherness and exclusion -- Fear and space -- Planning, fear and power -- Thinking future.This book examines the phenomenon of urban fear – the increasing anxiety over crime and violence in Western cities despite their high safety – with a view to developing a comprehensive, critical, exploratory theory of fear,…
to Symmetric Spaces and Their Compactifications -- Compactifications of Symmetric and Locally Symmetric Spaces -- Restrictions of Unitary Representations of Real Reductive Groups.Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the…
The Plancherel Theorem for a Reductive Symmetric Space -- The Paley—Wiener Theorem for a Reductive Symmetric Space -- The Plancherel Formula on Reductive Symmetric Spaces from the Point of View of the Schwartz Space.Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three indepen…
Results on topological spaces -- Rings and modules -- Integral extensions -- Factorial rings -- Field extensions -- Finitely generated algebras -- Gradings and filtrations -- Inductive limits -- Sheaves of functions -- Jordan decomposition and some basic results on groups -- Algebraic sets -- Prevarieties and varieties -- Projective varieties -- Dimension -- Morphisms and dimension -- Tangent s…
Parafree Groups -- The Finitary Andrews-Curtis Conjecture -- Cuts in Kähler Groups -- Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries -- Solved and Unsolved Problems Around One Group -- Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators -- Survey on Classifying Spaces for Families of Subgroups -- Are Unitarizable Groups Amenable? -- Probabil…
Gaudin Model and Opers -- Integrable Models with Unstable Particles -- Quantum Reduction in the Twisted Case -- Representation Theory and Quantum Integrability -- Connecting Lattice and Relativistic Models via Conformal Field Theory -- Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety -- Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II -- Weil-Petersson …
Fourier Analysis -- Fourier Series -- Hilbert Spaces -- The Fourier Transform -- Distributions -- LCA Groups -- Finite Abelian Groups -- LCA Groups -- The Dual Group -- Plancherel Theorem -- Noncommutative Groups -- Matrix Groups -- The Representations of SU(2) -- The Peter-Weyl Theorem -- The Heisenberg Group.From the reviews of the first edition: "This lovely book is intended as a primer in h…
Curvature of Contact Metric Manifolds -- A Case for Curvature: the Unit Tangent Bundle -- Convex Hypersurfaces in Hadamard Manifolds -- Contact Metric Geometry of the Unit Tangent Sphere Bundle -- Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special Kähler Manifolds -- ?2 and ?-Deformation Theory for Holomorphic and Symplectic Manifolds -- Commutative Condition on the S…