Open AccessPROPERTIES OF DUAL MODULES OVER STEENROD ALGEBRA
Author(s) -
A.N. Vasilchenko
Publication year - 2014
Publication title -
vestnik samarskogo universiteta. estestvennonaučnaâ seriâ
Language(s) - English
Resource type - Journals
eISSN - 2712-8954
pISSN - 2541-7525
DOI - 10.18287/2541-7525-2014-20-7-9-16
Subject(s) - steenrod algebra , mathematics , indecomposable module , cellular algebra , basis (linear algebra) , algebra over a field , dual (grammatical number) , hopf algebra , pure mathematics , filtered algebra , vector space , dual space , algebra representation , geometry , art , literature
Properties of annulators and modules generated by annulators, including dual modules over Steenrod algebra are studied. Properties of Kroneker pairing are proved using general properties of Steenrod algebra and dual algebra as graded connected Hopf algebras. Isomorphisms between modules generated by annulators and dual modules over dual Stennrod algebra are proved. It is shown that these modules are Hopf comodules induced by coproduct in dual Steenrod algebra. All generators of these modules are found. The method of nding basis of module of indecomposable elements, viewed as vector space over cyclic eld for some of the studied modules