عنوان

Computational invariant theory /

(Number (ISBN

366248420X

(Number (ISBN

9783662484203

Number

dltt

Title Proper

Computational invariant theory /

General Material Designation

[Book]

First Statement of Responsibility

Harm Derksen, Gregor Kemper

Edition Statement

Second enlarged edition with two appendices /

Statement of Responsibility Relating to Edition

by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov

Specific Material Designation and Extent of Item

xxii, 366 pages :

Other Physical Details

illustrations ;

Dimensions

25 cm

Series Title

Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups ;

Volume Designation

volume 130

Text of Note

Includes bibliographical references and index

Text of Note

Constructive ideal theory. Ideals and Grobner bases ; Elimination ideals ; Syzygy modules ; Hilbert series ; The radical ideal ; Normalization -- Invariant theory. Invariant rings ; Reductive groups ; Categorical quotients ; Separating invariants ; Homogeneous systems of parameters ; The Cohen-Macaulay property of invariant rings ; Hilbert series of invariant rings -- Invariant theory of finite groups. Homogeneous components ; Noether's degree bound ; Degree bounds in the modular case ; Molien's formula ; Primary invariants -- Cohen-Macaulayness ; Secondary invariants ; Minimal algebra generators ; Properties of invariant rings ; Permutation groups ; Ad hoc methods ; Separating invariants ; Actions on finitely generated algebras -- Invariant theory of infinite groups. Computing invariants of linearly reductive groups ; Improvements and generalizations ; Invariants of Tori ; Invariants of SL(subscript n) and GL(subscript n) ; The Reynolds operator ; Computing Hilbert series ; Degree bounds for invariants ; Properties of invariant rings ; Computing invariants of reductive groups ; Invariant fields and localizations of invariant rings -- Applications of invariant theory. Cohomology of finite groups ; Galois group computation ; Noether's problem and generic polynomials ; Systems of algebraic equations with symmetries ; Graph theory ; Combinatorics ; Coding theory ; Equivariant dynamical systems ; Material science ; Computer vision -- Linear algebraic groups. Linear algebraic groups ; the lie algebra of a linear algebraic group ; Reductive and semi-simple groups ; Roots ; Representation theory -- Is one of the two orbits in the closure of the other? Introduction ; Examples ; Algorithm ; Defining the Set G [dot] L [bar over this equation]] by equations -- Stratification of the nullcone. Introduction ; The stratification ; The algorithm ; Examples -- Addendum too Appendix C : the source code of HNC

0

Invariants

Derksen, Harm,1970-

Kemper, Gregor,1963-

Date of Transaction

20160321013948.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y