منابع مشابه
Invariants of Formal Group Law Actions
0. Introduction. In this note, k denotes a field of characteristic p > 0, and the letters T, X and Y are formal indeterminants. Let F: k[[T]] —• /c[[X,Y]] be a (fixed) one-dimensional formal group law [Dieudonné, Hazewinkel, Lazard, Lubin] of height h > 0. Let V denote a k[[T]] module of finite length. Suppose Ann(V) = (T). Let q = p denote the least power of p such that n < q. It follows that ...
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In this article we determine a generating set of rational invariants of minimal cardinality for the action of the orthogonal group O3 on the space R[x, y, z]2d of ternary forms of even degree 2d. The construction relies on two key ingredients: On one hand, the Slice Lemma allows us to reduce the problem to dermining the invariants for the action on a subspace of the finite subgroup B3 of signed...
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Let G be an affine algebraic group acting on an affine variety X. We present an algorithm for computing generators of the invariant ring K[X] in the case where G is reductive. Furthermore, we address the case where G is connected and unipotent, so the invariant ring need not be finitely generated. For this case, we develop an algorithm which computes K[X] in terms of a so-called colon-operation...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1993
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700015720