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Efficient Generation of the Ring of Invariants

✍ Scribed by Shou-Jen Hu; Ming-chang Kang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
230 KB
Volume
180
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


We shall use the Binet᎐Minc formula in the theory of permanents to prove w x David Richman's theorem: Let G be a finite group acting on

cations of permanents to other problems related to invariants are given also.


πŸ“œ SIMILAR VOLUMES


Generation of Invariants
✍ Li Chiang; Huah Chu; Ming-chang Kang πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 83 KB

Let G be any group acting on the Weyl algebra W ‫ރ‬ . We shall propose a 1 Ε½ . G method for finding explicit generators of the ring of invariants W ‫ރ‬ . This 1 method can be generalized to the case of the ring of invariants of an almost normalizing extension R over a commutative ring C under the li

Generating a Noetherian Normalization of
✍ Wolfram Decker; Agnes Eileen Heydtmann; Frank-Olaf Schreyer πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 320 KB

We improve Kemper's algorithm for the computation of a noetherian normalization of the invariant ring of a finite group. The new algorithm, which still works over arbitrary coefficient fields, no longer relies on algorithms for primary decomposition.

The Ring of Invariants of O(3, Fq)
✍ Larry Smith πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 98 KB

Let p3-be an odd prime integer and % O be the Galois field with q"pJ elements. which is a nondegenerate quadratic form, and denote by O(3, % O ) the corresponding orthogonal group. The purpose of this note is to give a new proof of a theorem of S. D. Cohen on the structure of % O [x, y, z]-% O . Th