Gröbner bases, invariant theory and equivariant dynamics:
Abstract: "This paper is about algorithmic invariant theory as it is required within equivariant dynamical systems. The question of generic bifurcation equations requires the knowledge of fundamental invariants and equivariants. We discuss computations which are related to this for finite group...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1996
|
| Schriftenreihe: | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin
1996,37 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "This paper is about algorithmic invariant theory as it is required within equivariant dynamical systems. The question of generic bifurcation equations requires the knowledge of fundamental invariants and equivariants. We discuss computations which are related to this for finite groups and semisimple Lie groups. We consider questions such as the completeness of invariants and equivariants. Efficient computations are gained by the Hilbert series driven Buchberger algorithm. Applications such as orbit space reduction are presented." |
| Beschreibung: | 32 S. |
Internformat
MARC
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| 100 | 1 | |a Gatermann, Karin |d 1961- |e Verfasser |0 (DE-588)121791246 |4 aut | |
| 245 | 1 | 0 | |a Gröbner bases, invariant theory and equivariant dynamics |c Karin Gatermann ; Frederic Guyard |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1996 | |
| 300 | |a 32 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |v 1996,37 | |
| 520 | 3 | |a Abstract: "This paper is about algorithmic invariant theory as it is required within equivariant dynamical systems. The question of generic bifurcation equations requires the knowledge of fundamental invariants and equivariants. We discuss computations which are related to this for finite groups and semisimple Lie groups. We consider questions such as the completeness of invariants and equivariants. Efficient computations are gained by the Hilbert series driven Buchberger algorithm. Applications such as orbit space reduction are presented." | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Gröbner bases | |
| 650 | 4 | |a Invariants | |
| 700 | 1 | |a Guyard, Fréderic |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t Preprint SC |v 1996,37 |w (DE-604)BV004801715 |9 1996,37 | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010357941 | |
Datensatz im Suchindex
| _version_ | 1820882503730200576 |
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| adam_text | |
| any_adam_object | |
| author | Gatermann, Karin 1961- Guyard, Fréderic |
| author_GND | (DE-588)121791246 |
| author_facet | Gatermann, Karin 1961- Guyard, Fréderic |
| author_role | aut aut |
| author_sort | Gatermann, Karin 1961- |
| author_variant | k g kg f g fg |
| building | Verbundindex |
| bvnumber | BV017186766 |
| classification_rvk | SS 4777 |
| ctrlnum | (OCoLC)37759361 (DE-599)BVBBV017186766 |
| discipline | Informatik |
| format | Book |
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| id | DE-604.BV017186766 |
| illustrated | Not Illustrated |
| indexdate | 2025-01-10T17:07:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010357941 |
| oclc_num | 37759361 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | 32 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series2 | Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Gatermann, Karin 1961- Verfasser (DE-588)121791246 aut Gröbner bases, invariant theory and equivariant dynamics Karin Gatermann ; Frederic Guyard Berlin Konrad-Zuse-Zentrum für Informationstechnik 1996 32 S. txt rdacontent n rdamedia nc rdacarrier Preprint SC / Konrad-Zuse-Zentrum für Informationstechnik Berlin 1996,37 Abstract: "This paper is about algorithmic invariant theory as it is required within equivariant dynamical systems. The question of generic bifurcation equations requires the knowledge of fundamental invariants and equivariants. We discuss computations which are related to this for finite groups and semisimple Lie groups. We consider questions such as the completeness of invariants and equivariants. Efficient computations are gained by the Hilbert series driven Buchberger algorithm. Applications such as orbit space reduction are presented." Differential equations Gröbner bases Invariants Guyard, Fréderic Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin Preprint SC 1996,37 (DE-604)BV004801715 1996,37 |
| spellingShingle | Gatermann, Karin 1961- Guyard, Fréderic Gröbner bases, invariant theory and equivariant dynamics Differential equations Gröbner bases Invariants |
| title | Gröbner bases, invariant theory and equivariant dynamics |
| title_auth | Gröbner bases, invariant theory and equivariant dynamics |
| title_exact_search | Gröbner bases, invariant theory and equivariant dynamics |
| title_full | Gröbner bases, invariant theory and equivariant dynamics Karin Gatermann ; Frederic Guyard |
| title_fullStr | Gröbner bases, invariant theory and equivariant dynamics Karin Gatermann ; Frederic Guyard |
| title_full_unstemmed | Gröbner bases, invariant theory and equivariant dynamics Karin Gatermann ; Frederic Guyard |
| title_short | Gröbner bases, invariant theory and equivariant dynamics |
| title_sort | grobner bases invariant theory and equivariant dynamics |
| topic | Differential equations Gröbner bases Invariants |
| topic_facet | Differential equations Gröbner bases Invariants |
| volume_link | (DE-604)BV004801715 |
| work_keys_str_mv | AT gatermannkarin grobnerbasesinvarianttheoryandequivariantdynamics AT guyardfrederic grobnerbasesinvarianttheoryandequivariantdynamics |