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An equality on Hochschild homology groups

✍ Scribed by Pu Zhang; Shaoxue Liu


Book ID
105726865
Publisher
Springer
Year
1997
Tongue
English
Weight
368 KB
Volume
42
Category
Article
ISSN
1001-6538

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Hyperoctahedral Operations on Hochschild
✍ N. Bergeron πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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