Gröbner bases and invariant theory

DOI10.1016/0001-8708(89)90053-4zbMath0695.13001OpenAlexW2011752484MaRDI QIDQ909717

N. E. Zubov

Publication date: 1989

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4695

zbMATH Keywords

Gröbner basesstraightening algorithmbracket algebranon-standard tableauxpolynomial functions on the Grassmann variety

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Software, source code, etc. for problems pertaining to commutative algebra (13-04) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

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The structure of Koszul algebras defined by four quadrics ⋮ Evaluation and spanning sets of confluent Vandermonde forms ⋮ On the Steinitz exchange lemma ⋮ Computing final polynomials and final syzygies using Buchberger's Gröbner bases method ⋮ Straightening Euclidean invariants ⋮ Mechanical theorem proving in projective geometry ⋮ Automated short proof generation for projective geometric theorems with Cayley and bracket algebras. I: Incidence geometry. ⋮ Multilinear Cayley factorization ⋮ Invariant computations for analytic projective geometry ⋮ Some examples of the use of distances as coordinates for euclidean geometry ⋮ Computing combinatorial decompositions of rings ⋮ Algebras of quasi-Plücker coordinates are Koszul ⋮ Chow polytopes and general resultants ⋮ Unnamed Item ⋮ A dimension series for multivariate splines ⋮ The umbral symbolic method for supersymmetric tensors ⋮ Blowup algebras of rational normal scrolls ⋮ Supersymmetric bracket algebra and invariant theory ⋮ Gröbner bases and Stanley decompositions of determinantal ideals ⋮ Invariants of multidimensional time series based on their iterated-integral signature ⋮ A Pascal's theorem for rational normal curves ⋮ The dotted straightening algorithm

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