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Advances in the Mathematical Sciences
Lie Groups and Invariant Theory
Edited by: Ernest Vinberg, Moscow State University, Russia

American Mathematical Society Translations--Series 2
Advances in the Mathematical Sciences
2005; 270 pp; hardcover
Volume: 213
ISBN-10: 0-8218-3733-8
ISBN-13: 978-0-8218-3733-7
List Price: US$126
Member Price: US$100.80
Order Code: TRANS2/213
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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.


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

Table of Contents

  • 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
  • D. V. Alekseevsky and V. Cortés -- Classification of pseudo-Riemannian symmetric spaces of quaternionic Kähler type
  • I. V. Arzhantsev and D. 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
  • S. 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
  • Y. Khakimdjanov -- Affine structures on filiform Lie algebras
  • A. Lebedev, D. Leites, and I. 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
  • D. I. Panyushev -- Ideals of Heisenberg type and minimax elements of affine Weyl groups
  • V. L. Popov -- Projective duality and principal nilpotent elements of symmetric pairs
  • V. Serganova -- On representations of Cartan type Lie superalgebras
  • E. B. Vinberg -- Construction of the exceptional simple Lie algebras
  • E. B. Vinberg -- Short \(SO_3\)-structures on simple Lie algebras and associated quasielliptic planes
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