Brave new Hopf algebroids and extensions of $MU$-algebras

Autor:	Alain Jeanneret, Andrew Baker
Rok vydání:	2002
Předmět:	Pure mathematics Mathematics (miscellaneous) Structure (category theory) State (functional analysis) Obstruction theory Algebra over a field Hopf algebra Commutative property Mathematics
Zdroj:	Homology, Homotopy and Applications. 4:163-173
ISSN:	1532-0081 1532-0073
DOI:	10.4310/hha.2002.v4.n1.a9
Popis:	We apply recent work of A. Lazarev which develops an obstruction theory for the existence of R-algebra structures on Rmodules, where R is a commutative S-algebra. We show that certain MU-modules have such A1 structures. Our results are often simpler to state for the related BP-modules under the currently unproved assumption that BP is a commutative Salgebra. Part of our motivation is to clarify the algebra involved in Lazarev’s work and to generalize it to other important cases. We also make explicit the fact that BP admits an MU-algebra structure as do E(n) and [ E(n), in the latter case rederiving and
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9ef2823f949300626242f46f08b84345 https://doi.org/10.4310/hha.2002.v4.n1.a9 Zobrazit plný text záznamu