메뉴 건너뛰기




Volumn 7, Issue 2, 1996, Pages 105-124

Semi-invariants, equivariants and algorithms

Author keywords

Computation of fundamental equivariants; Gr bner bases; Invariant theory; Linear representations of finite groups; Solution of systems of polynomial equations

Indexed keywords


EID: 0000902916     PISSN: 09381279     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01191379     Document Type: Article
Times cited : (20)

References (29)
  • 1
    • 0001776293 scopus 로고
    • Detecting the Symmetry of Attractors
    • Barany, E., Dellnitz, M., Golubitsky, M.: Detecting the Symmetry of Attractors. Physica D 67, 66-87 (1993)
    • (1993) Physica D , vol.67 , pp. 66-87
    • Barany, E.1    Dellnitz, M.2    Golubitsky, M.3
  • 3
    • 0000723167 scopus 로고
    • Invariants of finite groups generated by reflections
    • Chevalley, C.: Invariants of finite groups generated by reflections. Am. J. Math. 77. 778-782 (1955)
    • (1955) Am. J. Math. , vol.77 , pp. 778-782
    • Chevalley, C.1
  • 7
    • 0002066817 scopus 로고
    • Symmetry Breaking and the Maximal Isotropy Subgroup Conjecture for Reflection Groups
    • Truesdel. C. (ed) Berlin. Heidelberg. New York: Springer
    • Field, M J., Richardson, R. W.: Symmetry Breaking and the Maximal Isotropy Subgroup Conjecture for Reflection Groups. In: Truesdel. C. (ed) Archive for Rational Mechanics and Analysis Vol. 105. Berlin. Heidelberg. New York: Springer 1989
    • (1989) Archive for Rational Mechanics and Analysis , vol.105
    • Field, M.J.1    Richardson, R.W.2
  • 8
    • 0025530780 scopus 로고
    • Symbolic solution of polynomial equation systems with symmetry
    • Watanabe, Sh.: N'agata, M. (eds) (Tokyo, Japan, August 20-24. 1990), New York: ACM
    • Gatermann, K.: Symbolic solution of polynomial equation systems with symmetry. In: Watanabe, Sh.: N'agata, M. (eds) Proceedings of ISSAC-90 (Tokyo, Japan, August 20-24. 1990), pp 112-119. New York: ACM 1990
    • (1990) Proceedings of ISSAC-90 , pp. 112-119
    • Gatermann, K.1
  • 9
    • 3343017924 scopus 로고
    • Secondary Hopf Bifurcation Caused by Steady-state Steady-state Mode interaction
    • Chaddam, J., Golubitsky, M., Langford, W., Wetton, B. (eds) Fields Institute Com. Series
    • Gaterman, K.: Werner. B.: Secondary Hopf Bifurcation Caused by Steady-state Steady-state Mode interaction. In: Chaddam, J., Golubitsky, M., Langford, W., Wetton, B. (eds) Pattern Formations: Symmetry Methods and Applications. Fields Institute Com. Series, 1994
    • (1994) Pattern Formations: Symmetry Methods and Applications
    • Gaterman, K.1    Werner, B.2
  • 10
    • 3342883225 scopus 로고
    • A remark on the detection of symmetry of attractors
    • Chossat. P. (ed) Kluwer Academic Publishers. Dordrecht
    • Gatermann, K.: A remark on the detection of symmetry of attractors. In: Chossat. P. (ed) Dynamics, Bifurcation and Symmetry. Kluwer Academic Publishers. Dordrecht, 1994
    • (1994) Dynamics, Bifurcation and Symmetry
    • Gatermann, K.1
  • 13
    • 0001479286 scopus 로고
    • Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci
    • Hochster, M., Eagon. J. A. Cohen-Macaulay rings, invariant theory, and the generic perfection of determinantal loci. Am. J. Math. 93, 1020-1058 (1971)
    • (1971) Am. J. Math. , vol.93 , pp. 1020-1058
    • Hochster, M.1    Eagon, J.A.2
  • 14
    • 0000085985 scopus 로고
    • Rings of invariants of reductive groups acting on regular rings are Cohen-Macauley
    • Hochster, M., Roberts, J.: Rings of invariants of reductive groups acting on regular rings are Cohen-Macauley. Adv. Math. 13, 115-175 (1974)
    • (1974) Adv. Math. , vol.13 , pp. 115-175
    • Hochster, M.1    Roberts, J.2
  • 15
    • 0021202717 scopus 로고
    • Zeros of covenant vector fields for the point groups: Invariant formulation
    • Jaric, M. V., Michel, L., Sharp, R. T.: Zeros of covenant vector fields for the point groups: invariant formulation. J. Phys. 45, 1-27 (1984)
    • (1984) J. Phys. , vol.45 , pp. 1-27
    • Jaric, M.V.1    Michel, L.2    Sharp, R.T.3
  • 16
    • 3342877976 scopus 로고
    • The Invar Package for Calculating Rings of Invariants
    • Kemper, G. The Invar Package for Calculating Rings of Invariants. Maple Share library. 1993
    • (1993) Maple Share Library
    • Kemper, G.1
  • 19
    • 0002766689 scopus 로고
    • Symbolic solution of large stationary chemical kinetics problems
    • Melenk, H., Möller, H. M., Neun, W.: Symbolic solution of large stationary chemical kinetics problems. Impact. Comput. Sci. Eng. 1, 138-167 (1989)
    • (1989) Impact. Comput. Sci. Eng. , vol.1 , pp. 138-167
    • Melenk, H.1    Möller, H.M.2    Neun, W.3
  • 20
    • 0002730635 scopus 로고
    • Über die Invarianten der linearen Substitutionsgruppe
    • Molien, T.: Über die Invarianten der linearen Substitutionsgruppe. Königl. Preuss. Akad. Wiss., pp. 1152-1156, 1897
    • (1897) Königl. Preuss. Akad. Wiss. , pp. 1152-1156
    • Molien, T.1
  • 21
    • 34250957819 scopus 로고
    • Der Endlichkeitssatz der Invarianten endlicher Gruppen
    • N'oether, E.: Der Endlichkeitssatz der Invarianten endlicher Gruppen. Math. Ann. 77, 89-92 (1916)
    • (1916) Math. Ann. , vol.77 , pp. 89-92
    • N'Oether, E.1
  • 22
    • 0003218771 scopus 로고
    • Group Theoretic Methods in Bifurcation Theory
    • Berlin. Heidelberg. New York: Springer
    • Sattinger, D. H.: Group Theoretic Methods in Bifurcation Theory. Lecture Notes in Mathematics vol. 762. Berlin. Heidelberg. New York: Springer 1979
    • (1979) Lecture Notes in Mathematics , vol.762
    • Sattinger, D.H.1
  • 23
    • 51649161231 scopus 로고
    • Institut des Hautes Ètudes Scientifiques, Publications Mathèmatiques 51
    • Schwarz, G. W.: Lifting Smooth Homotopies of Orbit Spaces. In Institut des Hautes Ètudes Scientifiques, Publications Mathèmatiques 51, 1980
    • (1980) Lifting Smooth Homotopies of Orbit Spaces
    • Schwarz, G.W.1
  • 25
    • 0002144660 scopus 로고
    • Error-correcting codes and invariant theory: New applications of a nineteenth-century technique
    • Sloane, N. J. A.: Error-correcting codes and invariant theory: new applications of a nineteenth-century technique. Am. Math. Monthly 84, 82-107 (1977)
    • (1977) Am. Math. Monthly , vol.84 , pp. 82-107
    • Sloane, N.J.A.1
  • 26
    • 84966235340 scopus 로고
    • Invariants of finite groups and their applications to combinatorics
    • Stanley, R. P.: Invariants of finite groups and their applications to combinatorics. Bulletin Am. Math. Soc. 1, 475-511 (1979)
    • (1979) Bulletin Am. Math. Soc. , vol.1 , pp. 475-511
    • Stanley, R.P.1
  • 28
    • 70350653896 scopus 로고
    • Symmetric Newton Polytopes for Solving Sparse Polynomial Systems
    • Konard-Zuse-Zentrum, Preprint SC 94-3, Accepted for publication
    • Verschelde, J., Gatermann. K.: Symmetric Newton Polytopes for Solving Sparse Polynomial Systems. Konard-Zuse-Zentrum, Preprint SC 94-3, 1994. Accepted for publication by Advances in Applied Mathematics
    • (1994) Advances in Applied Mathematics
    • Verschelde, J.1    Gatermann, K.2
  • 29
    • 0043112497 scopus 로고
    • Zeros of equivariant vector fields: Algorithms for an invariant approach
    • To appear
    • Workfold, P. A.: Zeros of equivariant vector fields: Algorithms for an invariant approach. To appear in J. Symbolic Computation 1994
    • (1994) J. Symbolic Computation
    • Workfold, P.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.