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Minimal Algebra Resolution Associated with Hook Representations

✍ Scribed by Takashi Maeda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
60 KB
Volume
237
Category
Article
ISSN
0021-8693

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✦ Synopsis

In 4 , H. Srinivasan constructs an algebra structure on the minimal free resolution of the cyclic module RrI k for an ideal I of a commutative ring R generated by a regular sequence and for any k G 1. In this note we provide a short proof of the existence of an algebra structure on the complex above, assuming R contains rational numbers ‫ޑ‬ and using the w x Littlewood᎐Richardson rule 1, p. 249 . Let F be a ‫-ޑ‬vector space of r Ž . Ž . dimension n, denote by H resp. S the r th exterior resp. symmetric r Ž .

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✍ William M. Singer 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 167 KB

INTRODUCTION AND STATEMENTS OF RESULTS ## w x Let G be an augmented algebra over a field k. In his paper 1 , Anick supposes given a set S of generators for G, together with a grading e: S ª Z q and a total orderfor S, such that S is well ordered in each 0 Ä 4 degree. We will refer to the triple S