eBook ISBN:  9780821876763 
Product Code:  CONM/88.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821876763 
Product Code:  CONM/88.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 88; 1989; 598 ppMSC: Primary 14; Secondary 00; 20
This volume contains the proceedings of the AMS Special Session on Invariant Theory, held in Denton, Texas in the fall of 1986; also included are several invited papers in this area. The purpose of the conference was to exchange ideas on recent developments in algebraic group actions on algebraic varieties.
The papers fall into three main categories: actions of linear algebraic groups; flag manifolds and invariant theory; and representation theory and invariant theory. This book is likely to find a wide audience, for invariant theory is connected to a range of mathematical fields, such as algebraic groups, algebraic geometry, commutative algebra, and representation theory.

Table of Contents

Articles

Andy R. Magid — Equivariant completions of affine varieties with group action [ MR 999978 ]

Amnon Neeman — Analytic questions in geometric invariant theory [ MR 999979 ]

Roy Joshua — Equivariant intersection cohomology—a survey [ MR 999980 ]

Joseph P. Brennan — Invariants of affine group schemes [ MR 999981 ]

George R. Kempf — The number of invariants [ MR 999982 ]

Melvin Hochster — The canonical module of a ring of invariants [ MR 999983 ]

Bernd Ulrich — On licci ideals [ MR 999984 ]

Craig Huneke, Aron Simis and Wolmer Vasconcelos — Reduced normal cones are domains [ MR 999985 ]

Susan Montgomery — Prime ideals and group actions in noncommutative algebras [ MR 999986 ]

Robert A. Gustafson — Invariant theory and special functions [ MR 999987 ]

Robert A. Proctor — Interconnections between symplectic and orthogonal characters [ MR 999988 ]

John R. Stembridge — A combinatorial theory for rational actions of ${\rm GL}_n$ [ MR 999989 ]

Jerzy Weyman — Pieri’s formulas for classical groups [ MR 999990 ]

Stephen Doty — Submodules of symmetric powers of the natural module for ${\rm GL}_n$ [ MR 999991 ]

Henning Haahr Andersen — A new proof of old character formulas [ MR 999992 ]

Kaan Akin — Resolutions of representations [ MR 999993 ]

David A. Buchsbaum — JacobiTrudi and Giambelli identities in characteristicfree form [ MR 999994 ]

Robert M. Fossum — Onedimensional formal group actions [ MR 999995 ]

A. Fauntleroy — Quasiprojective orbit spaces for linear algebraic group actions [ MR 999996 ]

R. W. Richardson — Irreducible components of the nullcone [ MR 999997 ]

A. G. Helminck — On the orbits of symmetric spaces under the action of parabolic subgroups [ MR 999998 ]

V. Lakshmibai and K. N. Rajeswari — Towards a standard monomial theory for exceptional groups [ MR 999999 ]

Vinay V. Deodhar — An extension of KazhdanLusztig theory [ MR 1000000 ]

A. Lascoux and M.P. Schützenberger — Fonctorialité des polynômes de Schubert [ MR 1000001 ]


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This volume contains the proceedings of the AMS Special Session on Invariant Theory, held in Denton, Texas in the fall of 1986; also included are several invited papers in this area. The purpose of the conference was to exchange ideas on recent developments in algebraic group actions on algebraic varieties.
The papers fall into three main categories: actions of linear algebraic groups; flag manifolds and invariant theory; and representation theory and invariant theory. This book is likely to find a wide audience, for invariant theory is connected to a range of mathematical fields, such as algebraic groups, algebraic geometry, commutative algebra, and representation theory.

Articles

Andy R. Magid — Equivariant completions of affine varieties with group action [ MR 999978 ]

Amnon Neeman — Analytic questions in geometric invariant theory [ MR 999979 ]

Roy Joshua — Equivariant intersection cohomology—a survey [ MR 999980 ]

Joseph P. Brennan — Invariants of affine group schemes [ MR 999981 ]

George R. Kempf — The number of invariants [ MR 999982 ]

Melvin Hochster — The canonical module of a ring of invariants [ MR 999983 ]

Bernd Ulrich — On licci ideals [ MR 999984 ]

Craig Huneke, Aron Simis and Wolmer Vasconcelos — Reduced normal cones are domains [ MR 999985 ]

Susan Montgomery — Prime ideals and group actions in noncommutative algebras [ MR 999986 ]

Robert A. Gustafson — Invariant theory and special functions [ MR 999987 ]

Robert A. Proctor — Interconnections between symplectic and orthogonal characters [ MR 999988 ]

John R. Stembridge — A combinatorial theory for rational actions of ${\rm GL}_n$ [ MR 999989 ]

Jerzy Weyman — Pieri’s formulas for classical groups [ MR 999990 ]

Stephen Doty — Submodules of symmetric powers of the natural module for ${\rm GL}_n$ [ MR 999991 ]

Henning Haahr Andersen — A new proof of old character formulas [ MR 999992 ]

Kaan Akin — Resolutions of representations [ MR 999993 ]

David A. Buchsbaum — JacobiTrudi and Giambelli identities in characteristicfree form [ MR 999994 ]

Robert M. Fossum — Onedimensional formal group actions [ MR 999995 ]

A. Fauntleroy — Quasiprojective orbit spaces for linear algebraic group actions [ MR 999996 ]

R. W. Richardson — Irreducible components of the nullcone [ MR 999997 ]

A. G. Helminck — On the orbits of symmetric spaces under the action of parabolic subgroups [ MR 999998 ]

V. Lakshmibai and K. N. Rajeswari — Towards a standard monomial theory for exceptional groups [ MR 999999 ]

Vinay V. Deodhar — An extension of KazhdanLusztig theory [ MR 1000000 ]

A. Lascoux and M.P. Schützenberger — Fonctorialité des polynômes de Schubert [ MR 1000001 ]