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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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On the Spectra of Quantum Groups

Joseph and Hodges-Levasseur (in the A case) described the spectra of all quantum function algebras R q [G] on simple algebraic groups;

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Permutation Groups and Cartesian Decompositions

Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are;

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An Introduction to Noncommutative Noetherian Rings

are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to;

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An Introduction to Noncommutative Noetherian Rings

are integrated throughout. Various important settings, such as group algebras, Lie algebras, and quantum groups, are sketched at the outset to;

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Foundations of Quantum Group Theory

) treated as mathematical objects in their own right. After formal definitions and basic theory, the book goes on to cover such topics as quantum;

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Quantum Groups and Their Primitive Ideals

(9.4.2) the existence of an R-matrix satisfying in particular the quantum Yang-Baxter equation and from which the algebra structure of Rq[G] can;

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Representations of Lie Algebras, Quantum Groups and Related Topics

of representations of Kac-Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever-Novikov algebras, representations of quantum;

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A Guide to Quantum Groups

Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical;

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Affine Lie Algebras and Quantum Groups

algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory, but other;

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Quantum Groups and Lie Theory

research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume;

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Algebras of Functions on Quantum Groups, Part 1

, and the theory of quantum Weyl groups. This book can serve as a text for an introduction to the theory of quantum groups.;

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Elliptic Quantum Groups

of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite;

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Simple Extensions with the Minimum Degree Relations of Integral Domains

of various simple extensions and their properties. In particular, it examines several properties of simple ring extensions of Noetherian integral;

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Simple Extensions with the Minimum Degree Relations of Integral Domains

of various simple extensions and their properties. In particular, it examines several properties of simple ring extensions of Noetherian integral;

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Quantum Isometry Groups

first book to present the research on the quantum isometry group , highlighting the interaction of noncommutative geometry and quantum groups;

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Analysis and Quantum Groups

of coactions, their relation to subfactors and other types of natural products such as cocycle bicrossed products, quantum doubles and doublecrossed;

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Quantum Mechanics

This book introduces notation, terminology, and basic ideas of relativistic quantum theories. The discussion proceeds systematically from;

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Hopf Algebras and Quantum Groups

This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It;

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Complex Semisimple Quantum Groups and Representation Theory

analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic;

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Quantized Algebra And Physics - Proceedings Of The International Workshop

research problems in integrable systems, conformal field theory, string theory, Lie theory, quantum groups including Yangians and their;

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Hopf Algebras and Quantum Groups

This volume is based on the proceedings of the Hopf-Algebras and Quantum Groups conference at the Free University of Brussels, Belgium. It;

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Regular Subgroups of Primitive Permutation Groups

The authors address the classical problem of determining finite primitive permutation groups G with ;...

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Platonic Wholes and Quantum Ontology

, post-Aristotelian externalistic compositionism, and its application in the field of the ontology of quantum theory. At the centre of quantum;

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Group Theory Birdtracks, Lie`s, and Exceptional Groups

and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a;

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Group Theory - Birdtracks, Lie`s, and Exceptional Groups

and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a;

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Group Theory and Quantum Mechanics

of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods;

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