A note on the homology of signed posets
β Scribed by Phil Hanlon
- Book ID
- 118771755
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 208 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0925-9899
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this note we give a description of the representation of the wreath product S n [G] of the symmetric group S n and a finite group G on the homology of the product of n copies of a partially ordered set (poset for short) P on which G acts as a group of automorphisms. In the sequel all posets will
For any poset P let J(P) denote the complete lattice of order ideals in P. J(P) is a contravariant functor in P. Any order-reversing map f: P-+Q can be regarded as an isotone (= order-preserving) map of either P\* into Q or P into Q\*. The induced map of J(Q) to J(P\*) (resp. J(Q\*) into J(P)) will