عنوان

Computational invariant theory /

شابک

366248420X

شابک

9783662484203

شماره

dltt

عنوان اصلي

Computational invariant theory /

نام عام مواد

[Book]

نام نخستين پديدآور

Harm Derksen, Gregor Kemper

وضعيت ويراست

Second enlarged edition with two appendices /

نام نخستين ويراستار

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

نام خاص و کميت اثر

xxii, 366 pages :

ساير جزييات

illustrations ;

ابعاد

25 cm

عنوان فروست

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

مشخصه جلد

volume 130

متن يادداشت

Includes bibliographical references and index

متن يادداشت

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

بدون عنوان

0

موضوع مستند نشده

Invariants

مستند نام اشخاص تاييد نشده

Derksen, Harm,1970-

مستند نام اشخاص تاييد نشده

Kemper, Gregor,1963-

تاريخ عمليات

20160321013948.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y