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Differential type operators and Gröbner–Shirshov bases

✍ Scribed by Guo, Li; Sit, William Y.; Zhang, Ronghua


Book ID
120444360
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
396 KB
Volume
52
Category
Article
ISSN
0747-7171

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Hecke algebras, Specht modules and Gröbn
✍ Seok-Jin Kang; In-Sok Lee; Kyu-Hwan Lee; Hyekyung Oh 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 253 KB

In this paper, we study the structure of Specht modules over Hecke algebras using the Gröbner-Shirshov basis theory for the representations of associative algebras. The Gröbner-Shirshov basis theory enables us to construct Specht modules in terms of generators and relations. Given a Specht module S