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Geometries, Groups and Algebras in the Nineteenth Century - A History

major players in the development of the subject in the nineteenth century: Jordan, who was a teacher of Lie and Klein in Paris and their;

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Clifford Algebras

and inversions with respect to hyperquadrics. Afterwards, chain geometries over Clifford algebras and their subchain geometries are examined;

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An Introduction to Lie Groups and Lie Algebras

With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to;

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Combinatorics Of Minuscule Representations

book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical;

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Introduction To Lie Groups & Lie Algebra

With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to;

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Noncommutative Geometry

author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical;

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Geometry of Sporadic Groups

exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the;

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Geometry of Sporadic Groups

exceptional geometries are related to sporadic simple groups, including the famous Monster group and this volume gives a construction for each of the;

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Groups, Rings, Group Rings, and Hopf Algebras

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2-4;

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Baer *-Rings

, what makes a particular theorem work. The urge to axiomatize at least portions of the theory of von N- mann algebras surfaced early, notably;

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Quantum Groups

manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete;

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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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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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Groups of Lie Type and their Geometries

Presented here are papers from the 1993 Como meeting on groups of Lie type and their geometries. The meeting was attended by many leading;

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Lie Groups Lie Algebras and Representations

groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker-Campbell-Hausdorff formula and its use;

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Positivity and its Applications

presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators;

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Banach Algebras and Applications

Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the;

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Innovation and Certainty

Beginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced by altered;

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Algebra - Representation Theory

Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development;

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Quadrangular Algebras. (MN-46)

belong in a series together with alternative and Jordan division algebras. Formally, the notion of a quadrangular algebra is derived from the;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Extending Structures

algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending;

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Encyclopedia of Mathematics and its Applications Geometry of Sporadic Groups

associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries;

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Points and Lines

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries;

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Lie Groups and Lie Algebras

groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who;

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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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