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On the hochschild homology decompositions

✍ Scribed by Ronco, María


Book ID
120540558
Publisher
Taylor and Francis Group
Year
1993
Tongue
English
Weight
381 KB
Volume
21
Category
Article
ISSN
0092-7872

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Hyperoctahedral Operations on Hochschild
✍ N. Bergeron 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 680 KB

We construct families \(\left\{\rho_{n}^{(t, k)}\right\}\) of orthogonal idempotents of the hyperoctahedral group algebras \(Q\left[B_{n}\right]\), which commute with the Hochschild boundary operators \(h_{n}=\sum_{i=0}^{n}(-1)^{i} d\). We show that those idempotents are projections onto some hypero