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Hopf down–up algebras

✍ Scribed by Ellen E. Kirkman; Ian M. Musson


Book ID
104140570
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
124 KB
Volume
262
Category
Article
ISSN
0021-8693

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Down–Up Algebras
✍ Georgia Benkart; Tom Roby 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 403 KB

The algebra generated by the down and up operators on a differential or Ž . uniform partially ordered set poset encodes essential enumerative and structural properties of the poset. Motivated by the algebras generated by the down and up operators on posets, we introduce here a family of infinite-dim

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✍ Kaiming Zhao 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 144 KB

Down᎐up algebras which originated in the study of differential posets were recently defined and studied by Benkart and Roby. Benkart posed an open problem in her paper: to determine the centers of all down᎐up algebras. Here in this paper we completely solve this problem. As an application we also ge