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Lie Groups and Invariant Theory
 
Edited by: Ernest Vinberg Moscow State University, Moscow, Russia
Lie Groups and Invariant Theory
eBook ISBN:  978-1-4704-3424-3
Product Code:  TRANS2/213.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Lie Groups and Invariant Theory
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Lie Groups and Invariant Theory
Edited by: Ernest Vinberg Moscow State University, Moscow, Russia
eBook ISBN:  978-1-4704-3424-3
Product Code:  TRANS2/213.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Advances in the Mathematical Sciences
    Volume: 2132005; 270 pp
    MSC: Primary 22; Secondary 14;

    This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.

    Readership

    Graduate students and research mathematicians interested in Lie groups and related topics.

  • Table of Contents
     
     
    • Chapters
    • D. N. Akhiezer — Real forms of complex reductive groups acting on quasiaffine varieties
    • A. Alexeevski — Component groups of the centralizers of unipotent elements in semisimple algebraic groups
    • Dmitri V. Alekseevsky and Vicente Cortés — Classification of pseudo-Riemannian symmetric spaces of quaternionic Kähler type
    • Ivan V. Arzhantsev and Dimitrii A. Timashev — On the canonical embeddings of certain homogeneous spaces
    • A. G. Elashvili and V. G. Kac — Classification of good gradings of simple Lie algebras
    • Simon Gindikin — The separation of the continuous spectrum on symmetric spaces of Cayley type
    • V. Gorbatsevich — Connected sums of compact manifolds and homogeneity
    • P. I. Katsylo — On curvatures of sections of tensor bundles
    • Yusupdjan Khakimdjanov — Affine structures on filiform Lie algebras
    • Alexei Lebedev, Dimitry Leites and Ilya Shereshevskii — Lie superalgebra structures in $C^{\mathbin {\hbox {\raise .4ex\hbox {\bf .}}}}(\mathfrak {n};\mathfrak {n})$ and $H^{\mathbin {\hbox {\raise .4ex\hbox {\bf .}}}}(\mathfrak {n};\mathfrak {n})$
    • A. L. Onishchik and A. A. Serov — On isotropic super-Grassmannians of maximal type associated with an odd bilinear form
    • Dmitri I. Panyushev — Ideals of Heisenberg type and minimax elements of affine Weyl groups
    • Vladimir L. Popov — Projective duality and principal nilpotent elements of symmetric pairs
    • Vera Serganova — On representations of Cartan type Lie superalgebras
    • E. B. Vinberg — Construction of the exceptional simple Lie algebras
    • E. B. Vinberg — Short $\textup {SO}_3$-structures on simple Lie algebras and associated quasielliptic planes
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Advances in the Mathematical Sciences
Volume: 2132005; 270 pp
MSC: Primary 22; Secondary 14;

This volume, devoted to the 70th birthday of A. L. Onishchik, contains a collection of articles by participants in the Moscow Seminar on Lie Groups and Invariant Theory headed by E. B. Vinberg and A. L. Onishchik. The book is suitable for graduate students and researchers interested in Lie groups and related topics.

Readership

Graduate students and research mathematicians interested in Lie groups and related topics.

  • Chapters
  • D. N. Akhiezer — Real forms of complex reductive groups acting on quasiaffine varieties
  • A. Alexeevski — Component groups of the centralizers of unipotent elements in semisimple algebraic groups
  • Dmitri V. Alekseevsky and Vicente Cortés — Classification of pseudo-Riemannian symmetric spaces of quaternionic Kähler type
  • Ivan V. Arzhantsev and Dimitrii A. Timashev — On the canonical embeddings of certain homogeneous spaces
  • A. G. Elashvili and V. G. Kac — Classification of good gradings of simple Lie algebras
  • Simon Gindikin — The separation of the continuous spectrum on symmetric spaces of Cayley type
  • V. Gorbatsevich — Connected sums of compact manifolds and homogeneity
  • P. I. Katsylo — On curvatures of sections of tensor bundles
  • Yusupdjan Khakimdjanov — Affine structures on filiform Lie algebras
  • Alexei Lebedev, Dimitry Leites and Ilya Shereshevskii — Lie superalgebra structures in $C^{\mathbin {\hbox {\raise .4ex\hbox {\bf .}}}}(\mathfrak {n};\mathfrak {n})$ and $H^{\mathbin {\hbox {\raise .4ex\hbox {\bf .}}}}(\mathfrak {n};\mathfrak {n})$
  • A. L. Onishchik and A. A. Serov — On isotropic super-Grassmannians of maximal type associated with an odd bilinear form
  • Dmitri I. Panyushev — Ideals of Heisenberg type and minimax elements of affine Weyl groups
  • Vladimir L. Popov — Projective duality and principal nilpotent elements of symmetric pairs
  • Vera Serganova — On representations of Cartan type Lie superalgebras
  • E. B. Vinberg — Construction of the exceptional simple Lie algebras
  • E. B. Vinberg — Short $\textup {SO}_3$-structures on simple Lie algebras and associated quasielliptic planes
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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