<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup"^^ . "We study tensor product decompositions of representations of the General Linear Supergroup Gl(m|n). We show that the quotient of Rep(Gl(m|n),\\epsilon)$ by the tensor ideal of negligible representations is the representation category of a pro-reductive supergroup G red. In the Gl(m|1)-case we show G red = Gl(m-1) \\times Gl(1) \\times Gl(1). In the general case we study the image of the canonical tensor functor Fmn from Deligne's interpolating category Rep (Gl m-n) to Rep(Gl(m|n),\\epsilon). We determine the image of indecomposable elements under Fmn. This implies tensor product decompositions between projective modules and between certain irreducible modules, including all irreducible representations in the Gl(m|1)-case. Using techniques from Deligne's category we derive a closed formula for the tensor product of two maximally atypical irreducible Gl(2|2)-representations. We study cohomological tensor functors DS : Rep(Gl(m|m), epsilon) -> Rep(Gl(m-1|m-1)) and describe the image of an irreducible element under DS. At the end we explain how these results can be used to determine the pro-reductive group G L \\hookrightarrow Gl(m|m) red corresponding to the subcategory Rep(G L, epsilon) generated by the image of an irreducible element L in Rep(Gl(m|m) red, epsilon)."^^ . "2013" . . . . . . . "Thorsten"^^ . "Heidersdorf"^^ . "Thorsten Heidersdorf"^^ . . . . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (PDF)"^^ . . . "phd-main.pdf"^^ . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Pro-reductive groups attached to irreducible representations of the General Linear Supergroup (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #15435 \n\nPro-reductive groups attached to irreducible representations of the General Linear Supergroup\n\n" . "text/html" . . . "500 Naturwissenschaften und Mathematik"@de . "500 Natural sciences and mathematics"@en . . . "510 Mathematik"@de . "510 Mathematics"@en . .