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EnglishWe study the (bigraded) homology of the universal Steenrod algebra Q over the prime field F2, and we compute the groups Hs,s(Q), s≥0, using some ideas and techniques of Koszul algebras developed by S. Priddy, although we presently do not know whether or not Q is a Koszul algebra. We also provide an explicit formula for the coalgebra structure of the diagonal homology D∗(Q)=⨁s≥0Hs,s(Q) and show that D∗(Q) is isomorphic to the coalgebra of invariants Γ introduced by W. Singer.
| Titolo: | Homological computations in the universal Steenrod algebra |
| Autori: | |
| Data di pubblicazione: | 2004 |
| Rivista: | |
| Abstract: | We study the (bigraded) homology of the universal Steenrod algebra Q over the prime field F2, and we compute the groups Hs,s(Q), s≥0, using some ideas and techniques of Koszul algebras developed by S. Priddy, although we presently do not know whether or not Q is a Koszul algebra. We also provide an explicit formula for the coalgebra structure of the diagonal homology D∗(Q)=⨁s≥0Hs,s(Q) and show that D∗(Q) is isomorphic to the coalgebra of invariants Γ introduced by W. Singer. |
| Handle: | http://hdl.handle.net/11588/204759 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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