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Invariant Theory
 
Invariant Theory
eBook ISBN:  978-0-8218-7676-3
Product Code:  CONM/88.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Invariant Theory
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Invariant Theory
eBook ISBN:  978-0-8218-7676-3
Product Code:  CONM/88.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 881989; 598 pp
    MSC: 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 — Jacobi-Trudi and Giambelli identities in characteristic-free form [ MR 999994 ]
    • Robert M. Fossum — One-dimensional formal group actions [ MR 999995 ]
    • A. Fauntleroy — Quasi-projective 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 Kazhdan-Lusztig theory [ MR 1000000 ]
    • A. Lascoux and M.-P. Schützenberger — Fonctorialité des polynômes de Schubert [ MR 1000001 ]
  • 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
Volume: 881989; 598 pp
MSC: 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.

  • 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 — Jacobi-Trudi and Giambelli identities in characteristic-free form [ MR 999994 ]
  • Robert M. Fossum — One-dimensional formal group actions [ MR 999995 ]
  • A. Fauntleroy — Quasi-projective 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 Kazhdan-Lusztig theory [ MR 1000000 ]
  • A. Lascoux and M.-P. Schützenberger — Fonctorialité des polynômes de Schubert [ MR 1000001 ]
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
Please select which format for which you are requesting permissions.