SAGBI bases in rings of multiplicative invariants |
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| Authors: | Z Reichstein |
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| Institution: | (1) Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada , CA |
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| Abstract: | Let k be a field and G be a finite subgroup of . We show that the ring of multiplicative invariants has a finite SAGBI basis if and only if G is generated by reflections.
Received: March 5, 2002 |
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| Keywords: | , SAGBI basis, term order, initial term, subduction algorithm, Gr?bner basis, multiplicative groups action, algebra,,,,,of invariants, integral representation, reflection group, permutation group, convex cone, polyhedral cone, finitely generated,,,,,semigroup, |
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