Some acyclic relations in the lambda algebra

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概要

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• We consider the relations $\omega \gamma=0 \in \Lambda$, and show that if $\omega \alpha=0$ then $\alpha=\gamma \beta$ for some $\beta$. These relations give the acyclic chain complex $\Lambda @>{\gamma}>> \Lambda @>{\omega}>> \Lambda $. We consider various cases, e.g.~$\omega=\lambda_n$ and $\gamma=\lambda_{2n+1}$. Especially, we consider the case $\omega=w_n=d \lambda_n$ for $n=2^{e+r}+ 2^{e}-1$, where $\gamma=(h_{e+r})^r$.

• 広島大学の論文

著者

• HIKIDA Mizuho

  Hiroshima Prefectural University

関連論文

• An exact sequence related to Adams-Novikov E_2-terms of a cofibering
• Comparison theorems of two Adams spectral sequences
• The Steenrod Algebra and Braid Groups
• Some acyclic relations in the lambda algebra

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