SAGBI bases in rings of multiplicative invariants

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Abstract

Let k be a field and G be a finite subgroup of GLn(ℤ). We show that the ring of multiplicative invariants k[x1±1,..., xn±1]G has a finite SAGBI basis if and only if G is generated by reflections.

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APA

Reichstein, Z. (2003). SAGBI bases in rings of multiplicative invariants. Commentarii Mathematici Helvetici, 78(1), 185–202. https://doi.org/10.1007/s000140300008

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