Gröbner bases and invariant theory
Tài liệu tham khảo
Barnabei, 1985, On the exterior calculus of invariant theory, J. Algebra, 96, 120, 10.1016/0021-8693(85)90043-2
Bayer, 1982, The Division Algorithm and the Hilbert Scheme
Bokowski, 1987, Nonrealizability proofs in computational geometry, Preprint 1045
Bokowski, 1987, Altshuler's sphere M10425 is not polytopal, Europ. J. Combin., 8, 227, 10.1016/S0195-6698(87)80026-4
Buchberger, 1970, Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems, Aequationes Math., 4, 374, 10.1007/BF01844169
Buchberger, 1985, Gröbner bases—An algorithmic method in polynomial ideal theory
Chou, 1987, Characteristic sets and Gröbner bases in geometry theorem proving, 29
De Concini, 1976, A characteristic free approach to invariant theory, Adv. in Math., 21, 330, 10.1016/S0001-8708(76)80003-5
Désarměnien, 1978, Invariant theory, Young tableaux, and combinatorics, Adv. in Math., 27, 63, 10.1016/0001-8708(78)90077-4
Doubilet, 1974, On the foundations of combinatorial theory. IX. Combinatorial methods in invariant theory, Stud. Appl. Math., 53, 185, 10.1002/sapm1974533185
Hodge, 1947
Kutzler, 1986, On the application of Buchberger's algorithm to automated geometry theorem proving, J. Symb. Comput., 2, 389, 10.1016/S0747-7171(86)80006-2
Kutzler, 1987, Introduction to Buchberger's Gröbner bases method, 5
Lauffer, 1954, Die nichtkonstruierbare Konfiguration (103), Math. Nachr., 11, 303, 10.1002/mana.19540110408
Lazard, 1983, Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations, 146
McMillan, 1988, Cayley factorization
Möller, 1984, Upper and lower bounds for the degrees of Gröbner bases,, 172
Procesi, 1982, A primer in invariant theory, Brandeis Lecture Notes, 1
Sturmfels, 1987, Computational Synthetic Geometry
Weyl, 1939
White, 1975, The bracket ring of a combinatorial geometry, I, Trans. Amer. Math. Soc., 202, 79, 10.1090/S0002-9947-1975-0387095-9
White, 1983, The algebraic geometry of stresses in frameworks, SIAM J. Algebraic Discrete Methods, 4, 481, 10.1137/0604049
White, 1987, The algebraic geometry of motions of bar-and-body frameworks, SIAM J. Algebraic Discrete Methods, 8, 1, 10.1137/0608001
Whiteley, 1971, Logic and Invariant Theory
Whiteley, 1973, Logic and invariant theory. I. Invariant theory of projective properties, Trans. Amer. Math. Soc., 177, 121
Young, 1928, On quantitative substitutional analysis (3rd paper), Proc. London Math. Soc., 28, 255, 10.1112/plms/s2-28.1.255