{"product_id":"self-adjoint-a-b-modules-and-hermitian-forms-von-piotr-karwasz","title":"Self-adjoint (a,b)-modules and hermitian forms","description":"\u003cp\u003eIn 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¿.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659238383\"\u003e\u003ch3\u003eSingularity Theory\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783659238383","offer_id":39486454366301,"sku":"9783659238383","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/c7d33700-53c8-4e8f-9b91-5a30bf986a0e.jpg?v=1773470026","url":"https:\/\/shop.autorenwelt.de\/products\/self-adjoint-a-b-modules-and-hermitian-forms-von-piotr-karwasz","provider":"Autorenwelt Shop","version":"1.0","type":"link"}