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" Computational invariant theory / "
Harm Derksen, Gregor Kemper
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BL
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| Record Number
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650487
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dltt
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| Main Entry
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Derksen, Harm,1970-
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| Title & Author
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Computational invariant theory /\ Harm Derksen, Gregor Kemper
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| Edition Statement
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Second enlarged edition with two appendices // by Vladimir L. Popov, and an addendum by Norbert A. Campo and Vladimir L. Popov
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| Series Statement
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Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups ;; volume 130
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| Page. NO
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xxii, 366 pages :: illustrations ;; 25 cm
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| ISBN
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366248420X
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: 9783662484203
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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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
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Invariants
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| Added Entry
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Kemper, Gregor,1963-
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