Computing invariants of reductive groups in positive characteristic

DOI10.1007/s00031-003-0305-1zbMath1044.13002OpenAlexW1963537379MaRDI QIDQ1397611

Gregor Kemper

Publication date: 6 August 2003

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00031-003-0305-1

zbMATH Keywords

MAGMAalgorithm for generating setinseparable closureinvariants of reductive algebraic groupsnormalization of separating subalgebras

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Group actions on varieties or schemes (quotients) (14L30) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Group actions on affine varieties (14R20)

Related Items (17)

Separating invariants of finite groups ⋮ The Cohen-Macaulay property of separating invariants of finite groups ⋮ Covariant algebra of the binary nonic and the binary decimic ⋮ Algorithmic invariant theory of nonreductive groups ⋮ Estimation under group actions: recovering orbits from invariants ⋮ The separating variety for matrix semi-invariants ⋮ The separating variety for 2 × 2 matrix invariants ⋮ Separating invariants for arbitrary linear actions of the additive group ⋮ Algorithms for orbit closure separation for invariants and semi-invariants of matrices ⋮ Separating invariants for the basic 𝔾ₐ-actions ⋮ Separating invariants and local cohomology ⋮ Using extended Derksen ideals in computational invariant theory ⋮ Computing invariants of algebraic groups in arbitrary characteristic ⋮ Polynomial bounds for invariant functions separating orbits ⋮ Separating invariants and finite reflection groups ⋮ Separating invariants ⋮ Invariants and separating morphisms for algebraic group actions

Uses Software

• Magma

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