eBook ISBN:  9781470434243 
Product Code:  TRANS2/213.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470434243 
Product Code:  TRANS2/213.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Advances in the Mathematical SciencesVolume: 213; 2005; 270 ppMSC: 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.
ReadershipGraduate 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 pseudoRiemannian 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 superGrassmannians 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


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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.

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 pseudoRiemannian 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 superGrassmannians 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