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#### Lie Algebras and Algebraic Groups

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to... more...

#### Studies in Lie Theory

Springer 2006; US$ 199.00Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions... more...

#### Highlights in Lie Algebraic Methods

Springer 2011; US$ 119.00This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac-Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac-Moody superalgebras,... more...

#### Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces

Springer 2004; US$ 139.00This book describes a new and original formalism based on mirror symmetries of Lie groups, Lie algebras and Homogeneous spaces. Special systems of mirrors are used for classification purposes and as an instrument for studies of Homogeneous spaces. Tri-symmetric and arbitrary Riemannian Homogeneous spaces can also be researched in this way. The book... more...

#### Lie Algebras of Finite and Affine Type

Cambridge University Press 2005; US$ 102.00This book provides a thorough but relaxed mathematical treatment of Lie algebras. more...

#### Structure Theory

De Gruyter 2004; US$ 238.00The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 35 years has been directed by the Kostrikin?Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional restricted... more...

#### Automorphic Forms and Lie Superalgebras

Springer 2007; US$ 139.00Provides the tools to understand the classification and construction project of Lie superalgebras. This book presents the material in simple terms and covers Borcherds-Kac-Moody superalgebras. It examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. more...

#### Naive Lie Theory

Springer 2008; US$ 54.95Presents an introduction to Lie theory suitable for junior and senior level undergraduates. This book focuses on the so-called 'classical groups' that capture the symmetries of real, complex, and quaternion spaces. more...

#### Classifying the Absolute Toral Rank Two Case

De Gruyter 2009; US$ 224.00The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 35 years has been directed by the Kostrikin?Shafarevich Conjecture of 1966, which states that over an algebraically closed field of characteristic p > 5 a finite-dimensional restricted... more...

#### Collected Papers

Springer 2009; US$ 199.00The author has been one of the major architects of modern Lie theory. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. This title features commentaries and summaries of his papers in his own words. more...