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Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.

Hermitian symmetric spaces. --- Spaces, Hermitian symmetric --- Symmetric Hermitian spaces --- Symmetric spaces, Hermitian --- Complex manifolds

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Non-Hermitian quantum mechanics (NHQM) is an important alternative to the standard (Hermitian) formalism of quantum mechanics, enabling the solution of otherwise difficult problems. The first book to present this theory, it is useful to advanced graduate students and researchers in physics, chemistry and engineering. NHQM provides powerful numerical and analytical tools for the study of resonance phenomena - perhaps one of the most striking events in nature. It is especially useful for problems whose solutions cause extreme difficulties within the structure of a conventional Hermitian framework. NHQM has applications in a variety of fields, including optics, where the refractive index is complex; quantum field theory, where the parity-time (PT) symmetry properties of the Hamiltonian are investigated; and atomic and molecular physics and electrical engineering, where complex potentials are introduced to simplify numerical calculations.

Quantum theory --- Hermitian structures --- Resonance --- Hermitian symmetric spaces --- Mathematics --- Hermitian structures. --- Resonance. --- Hermitian symmetric spaces. --- Spaces, Hermitian symmetric --- Symmetric Hermitian spaces --- Symmetric spaces, Hermitian --- Complex manifolds --- Structures, Hermitian --- Geometry, Differential --- Kählerian structures --- Mathematics. --- Quantum theory - Mathematics