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Many connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Any necessary background material is provided, and connections are explored along a number of strands that lead to the forefront of current research in geometric group theory.
By Viren Swami
How much does appearance matter in the formation of romantic relationships? Do nice guys always finish last? Does playing hard-to-get ever work? What really makes for a good chat-up line? When it comes to relationships, there's no shortage of advice from self-help `experts', pick-up artists, and glossy magazines. But modern-day...
The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhauser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Cafe in Lwow, Poland,...
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms.
Every four years, leading researchers gather to survey the latest developments in all aspects of group theory. This volume contains selected papers from the 2013 meeting, covering a wide spectrum of modern group theory.
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most...
This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries.
By S.T. Ali
This second edition is fully updated, covering in particular new types of coherent states the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics and various generalizations of wavelets wavelets on manifolds, curvelets, shearlets, etc..