In this thesis we analyse the behaviour of (a,b)-modules under the action of the duality functors. We are mostly interested in the existence of self-adjoint (a,b)-modules admitting an hermitian form, which we show is not a trivial condition: every self-adjoint regular (a,b)-module can be split into the direct sum of hermitian (a,b)-modules and (a,b)-modules admitting only an anti-hermitian form. This result leads us to the proof of existence of self-dual Jordan-Hölder composition series for regular self-adjoint (a,b)-modules and we provide, following Ridha Belgrade, an alternative proof of the existence of Kyoji Saito's “higher residue pairings”.
|Number of Pages||76|
|Country of Manufacture||India|
|Product Brand||LAP LAMBERT Academic Publishing|
|Product Packaging Info||Box|
|In The Box||1 Piece|
|Product First Available On ClickOnCare.com||2015-07-28 00:00:00|