Title
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Constructing G-algebras
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Author
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Abstract
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In this article we define G-algebras, that is, graded algebras on which a reductive group G, acts as gradation preserving automorphisms. Starting from a finite dimensional G-module V and the polynomial ring C[V], it is shown how one constructs a sequence of projective varieties V-k such that each point of V-k corresponds to a graded algebra with the same decomposition up to degree k as a G-module. After some general theory, we apply this to the case that V is the n+1-dimensional permutation representation of Sn+1, the permutation group on n+1 letters. |
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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
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2017
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ISSN
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0092-7872
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DOI
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10.1080/00927872.2016.1236123
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Volume/pages
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45
:8
(2017)
, p. 3260-3273
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ISI
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000395159000005
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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