Algebra
Evolution Algebras and Their Applications
Behind genetics and Markov chains, there is an intrinsic algebraic structure. It is defined as a type of new algebra: as evolution algebra. This concept lies between algebras and dynamical systems.
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A Taste of Jordan Algebras
The book describes the history of Jordan algebras, and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zelmanov.
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Lie Algebras of Finite and Affine Type
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra.
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Central Simple Algebras and Galois Cohomology
The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem.
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Simple Lie Algebras over Fields of Positive Characteristic
The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one.
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Elements of the Representation Theory of Associative Algebras
The final part of a three-volume set providing a modern account of the representation theory of finite dimensional associative algebras over an algebraically closed field. The subject is presented from the perspective of linear representations of quivers and homological algebra.
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