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TitleBlock Stanley decompositions I. Elementary and gnomon decompositions
Author(s) James Murdock, Theodore Murdock
TypeArticle in Journal
AbstractAbstract Stanley decompositions are used in invariant theory and the theory of normal forms for dynamical systems to provide a unique way of writing each invariant as a polynomial in the Hilbert basis elements. Since the required Stanley decompositions can be very long, we introduce a more concise notation called a block decomposition, along with three notions of shortness (incompressibility, minimality of Stanley spaces, and minimality of blocks) for block decompositions. We give two algorithms that generate different block decompositions, which we call elementary and gnomon decompositions, and give examples. Soleyman-Jahan
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404914002254
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume219
Number6
Pages2189 - 2205
Year2015
Edition0
Translation No
Refereed No
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