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**publisher and metadata sources**).Recently P. Deligne introduced the tensor category Rep(S_t) (for t not necessarily an integer) which in a certain precise sense interpolates the categories Rep(S_d) of representations of the… Continue Reading

We classify indecomposable summands of mixed tensor powers of the natural representation for the general linear supergroup up to isomorphism. We also give a formula for the characters of these… Continue Reading

The affine oriented Brauer category is a monoidal category obtained from the oriented Brauer category (= the free symmetric monoidal category generated by a single object and its dual) by adjoining a… Continue Reading

Let k denote a field of characteristic zero, V a d-dimensional vector space over k, and GLd = GL(V ) the corresponding general linear group. The usual tensor product of vector spaces gives Rep(GLd),… Continue Reading

We describe indecomposable objects in Deligne's category $\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$ and explain how to decompose their tensor products. We then classify thick ideals… Continue Reading

We classify indecomposable summands of mixed tensor powers of the natural representation for the general linear supergroup up to isomorphism. We also give a formula for the characters of these… Continue Reading

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x, 81 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.