L-complete Hopf algebroids and their comodules

Baker, A. (2009) L-complete Hopf algebroids and their comodules. Contemporary Mathematics, 504, pp. 1-22.

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We investigate Hopf algebroids in the category of L-complete modules over a commutative Noetherian regular complete local ring. The main examples of interest in algebraic topology are the Hopf algebroids associated to Lubin-Tate spectra in the K(n)-local stable homotopy category, and we show that these have Landweber filtrations for all finitely generated discrete modules. Along the way we investigate the canonical Hopf algebras associated to Hopf algebroids over fields and introduce a notion of unipotent Hopf algebroid generalising that for Hopf algebras.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Baker, Dr Andrew
Authors: Baker, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Contemporary Mathematics

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