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Generalized Lie Theory in Mathematics, Physics and Beyond
This book explores the cutting edge of the fundamental role of generalizations of Lie theory and related non-commutative and non-associative structures in mathematics and physics.
Multiple Facets of Quantization and Supersymmetry
This book is dedicated to the memory of Michael Marinov, the theorist who, together with Felix Berezin, introduced the classical description of spin by anticommuting Grassmann variables. It contains original papers and reviews by physicists and mathematicians written specifically for the book. These articles reflect the current status and recent developments in the areas of Marinov''s research: quantum tunneling, quantization of constrained systems, supersymmetry, and others. The personal recollections included portray the human face of M Marinov, a person of great knowledge and integrity.
Algebra, Geometry and Mathematical Physics
This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetries and conservation laws and mathematical physics and applications, the book covers deformation theory and quantization; Hom-algebras and n-ary algebraic structures; Hopf algebra, integrable systems and related math structures; jet theory and Weil bundles; Lie theory and applications; non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures of Lie theory aimed at quantization and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry and applications in physics and beyond. The book benefits a broad audience of researchers and advanced students.
Culturally Relevant Arts Education for Social Justice
A groundswell of interest has led to significant advances in understanding and using Culturally Responsive Arts Education to promote social justice and education. This landmark volume provides a theoretical orientation to these endeavors. Examining a range of efforts across different forms of art, various educational settings, and diverse contexts, it foregrounds the assets of imagination, creativity, resilience, critique and cultural knowledge, working against prevailing understandings of marginalized groups as having deficits of knowledge, skills, or culture. Emphasizing the arts as a way to make something possible, it explores and illustrates the elements of social justice arts education as "a way out of no way" imposed by dominance and ideology. A set of powerful demonstrations shows how this work looks in action. Introductions to the book as a whole and to each section focus on how to use the chapters pedagogically. The conclusion pulls back the chapters into theoretical and pedagogical context and suggests what needs done to be done practically, empirically, and theoretically, for the field to continue to develop.
Representation Theory
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My New Orleans
It's 16 chapters of culture, history, essay and insight, and pure goodness. Besh tells us the story of his New Orleans by the season and by the dish. Archival, four-color, location photography along with ingredient information make the Big Easy easy to tackle in home kitchens. Cooks will salivate over the 200 recipes that honor and celebrate everything New Orleans. Bite by bite John Besh brings us New Orleans cooking like we've never tasted before. It's the perfect blend of contemporary French techniques with indigenous Southern Louisiana products and know-how. His amazing new offering is exclusively brought to fans and foodies everywhere by Andrews McMeel. From Mardi Gras, to the shrimp sea...
Noncommutative Geometry and Representation Theory in Mathematical Physics
Mathematics provides a language in which to formulate the laws that govern nature. It is a language proven to be both powerful and effective. In the quest for a deeper understanding of the fundamental laws of physics, one is led to theories that are increasingly difficult to put to the test. In recent years, many novel questions have emerged in mathematical physics, particularly in quantum field theory. Indeed, several areas of mathematics have lately become increasingly influentialin physics and, in turn, have become influenced by developments in physics. Over the last two decades, interactions between mathematicians and physicists have increased enormously and have resulted in a fruitful c...
Yangians and Classical Lie Algebras
The Yangians and twisted Yangians are remarkable associative algebras taking their origins from the work of St. Petersburg's school of mathematical physics in the 1980s. This book is an introduction to the theory of Yangians and twisted Yangians, with a particular emphasis on the relationship with the classical matrix Lie algebras.
Primes and Knots
This volume deals systematically with connections between algebraic number theory and low-dimensional topology. Of particular note are various inspiring interactions between number theory and low-dimensional topology discussed in most papers in this volume. For example, quite interesting are the use of arithmetic methods in knot theory and the use of topological methods in Galois theory. Also, expository papers in both number theory and topology included in the volume can help a wide group of readers to understand both fields as well as the interesting analogies and relations that bring them together.
Representations of Algebraic Groups, Quantum Groups, and Lie Algebras
Covers various aspects of the representation theory of Lie algebras, finite groups of Lie types, Hecke algebras, and Lie super algebras. This book outlines connections among irreducible representations of certain blocks of reduced enveloping algebras of semi-simple Lie algebras in positive characteristic.
