If A is a complete and cocomplete abelian category, which we allow ourselves to conflate with the corresponding representable homotopy theory then the 2-functors HochA, taking the small category C to the homotopy category of chain complexes over AC and Hoch+A, with value the homotopy category of pas
Homotopy and homology of simplicial abelian Hopf algebras
β Scribed by Paul G. Goerss; James Turner
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- French
- Weight
- 264 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
2 Γ 2 . If H is abelian of order 8, we may use K = k H \* , and if H is abelian of order 4 we use K = kD 8 \* . If H βΌ = D 8 , then in the two possible examples, one has K = kD 8 \* and the other has K = kQ 8 \* . If H βΌ = 2 Γ 2 Γ 2 then H has two simple degree 2 characters, Ο 1 and Ο 2 , and they
We prove that a Noetherian Hopf algebra of finite global dimension possesses further attractive homological properties, at least when it satisfies a polynomial identity. This applies in particular to quantized enveloping algebras and to quantized function algebras at a root of unity, as well as to c