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Hardcover ISBN:  9780821841075 
Product Code:  ADVSOV/8 
List Price:  $161.00 
MAA Member Price:  $144.90 
AMS Member Price:  $128.80 
eBook ISBN:  9781470445553 
Product Code:  ADVSOV/8.E 
List Price:  $161.00 
MAA Member Price:  $144.90 
AMS Member Price:  $128.80 
Hardcover ISBN:  9780821841075 
eBook ISBN:  9781470445553 
Product Code:  ADVSOV/8.B 
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Book DetailsAdvances in Soviet MathematicsVolume: 8; 1992; 204 ppMSC: Primary 14; 15; 17; 20; 22; 32; 53;
For the past thirty years, E. B. Vinberg and L. A. Onishchik have conducted a seminar on Lie groups at Moscow University; about five years ago V. L. Popov became the third codirector, and the range of topics expanded to include invariant theory. Today, the seminar encompasses such areas as algebraic groups, geometry and topology of homogeneous spaces, and KacMoody groups and algebras. This collection of papers presents a snapshot of the research activities of this wellestablished seminar, including new results in Lie groups, crystallographic groups, and algebraic transformation groups. These papers will not be published elsewhere. Readers will find this volume useful for the new results it contains as well as for the open problems it poses.
ReadershipGraduate students and researchers in pure mathematics.

Table of Contents

Articles

A. Alekseevskii and D. Alekseevskii — $G$manifolds with onedimensional orbit space

V. Bugaenko — Arithmetic crystallographic groups generated by reflections and reflective hyperbolic lattices

A. Elashvili — Invariant algebras

L. Galitskii — On the existence of Galois sections

V. Gorbatsevich — On some cohomology invariants of compact homogeneous manifolds

A. Katanova — Explicit form of certain multivector invariants

P. Katsylo — On the birational geometry of the space of ternary quartics

P. Katsylo — Rationality of the module variety of mathematical instantons with $c_2=5$

A. Onishchik and A. Serov — Holomorphic vector fields on superGrassmannians

D. Panyushev — Affine quasihomogeneous normal $SL_2$varieties: Hilbert function and blowups

D. Panyushev — Complexity of quasiaffine homogeneous varieties, $t$decompositions, and affine homogeneous spaces of complexity $1$

V. Popov — On the “Lemma of Seshadri”

D. Shmel′kin — Coregular algebraic linear groups locally isomorphic to $SL_2$

O. Shvartsman — An example of a nonarithmetic discrete group in the complex ball

G. Soifer — Free subsemigroups of the affine group, and the SchoenfliesBieberbach theorem


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For the past thirty years, E. B. Vinberg and L. A. Onishchik have conducted a seminar on Lie groups at Moscow University; about five years ago V. L. Popov became the third codirector, and the range of topics expanded to include invariant theory. Today, the seminar encompasses such areas as algebraic groups, geometry and topology of homogeneous spaces, and KacMoody groups and algebras. This collection of papers presents a snapshot of the research activities of this wellestablished seminar, including new results in Lie groups, crystallographic groups, and algebraic transformation groups. These papers will not be published elsewhere. Readers will find this volume useful for the new results it contains as well as for the open problems it poses.
Graduate students and researchers in pure mathematics.

Articles

A. Alekseevskii and D. Alekseevskii — $G$manifolds with onedimensional orbit space

V. Bugaenko — Arithmetic crystallographic groups generated by reflections and reflective hyperbolic lattices

A. Elashvili — Invariant algebras

L. Galitskii — On the existence of Galois sections

V. Gorbatsevich — On some cohomology invariants of compact homogeneous manifolds

A. Katanova — Explicit form of certain multivector invariants

P. Katsylo — On the birational geometry of the space of ternary quartics

P. Katsylo — Rationality of the module variety of mathematical instantons with $c_2=5$

A. Onishchik and A. Serov — Holomorphic vector fields on superGrassmannians

D. Panyushev — Affine quasihomogeneous normal $SL_2$varieties: Hilbert function and blowups

D. Panyushev — Complexity of quasiaffine homogeneous varieties, $t$decompositions, and affine homogeneous spaces of complexity $1$

V. Popov — On the “Lemma of Seshadri”

D. Shmel′kin — Coregular algebraic linear groups locally isomorphic to $SL_2$

O. Shvartsman — An example of a nonarithmetic discrete group in the complex ball

G. Soifer — Free subsemigroups of the affine group, and the SchoenfliesBieberbach theorem