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2002

Finite SAGBI bases for polynomial invariants of conjugates of alternating groups

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Finite SAGBI bases for polynomial invariants of conjugates of alternating groups
It is well-known, that the ring C[X1, . . . , Xn]An of polynomial invariants of the alternating group An has no finite SAGBI basis with respect to the lexicographical order for any number of variables n 3. This note proves the existence of a nonsingular matrix n GL(n, C) such that the ring of polynomial invariants C[X1, . . . , Xn]An n , where An n denotes the conjugate of An with respect to n, has a finite SAGBI basis for any n 3.
Manfred Göbel
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 2002
Where MOC
Authors Manfred Göbel
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