All Outputs (3)

On the monoidal center of Deligne's category Re̲p(St) (2020)
Journal Article
Flake, J., & Laugwitz, R. (2021). On the monoidal center of Deligne's category Re̲p(St). Journal of the London Mathematical Society, 103(3), 1153-1185. https://doi.org/10.1112/jlms.12403

We explicitly compute a monoidal subcategory of the monoidal center of Deligne’s interpolation category Rep(St), for t not necessarily a natural number, and we show that this subcategory is a ribbon category. For t = n, a natural number, there exists... Read More about On the monoidal center of Deligne's category Re̲p(St).

Braided commutative algebras over quantized enveloping algebras (2020)
Journal Article
Laugwitz, R., & Walton, C. (2021). Braided commutative algebras over quantized enveloping algebras. Transformation Groups, 26, 957-993. https://doi.org/10.1007/s00031-020-09599-9

We produce braided commutative algebras in braided monoidal categories by generalizing Davydov's full center construction of commutative algebras in centers of monoidal categories. Namely, we build braided commutative algebras in relative monoidal ce... Read More about Braided commutative algebras over quantized enveloping algebras.

Noncommutative Shifted Symmetric Functions (2020)
Journal Article
Laugwitz, R., & Retakh, V. (2020). Noncommutative Shifted Symmetric Functions. Moscow Mathematical Journal, 20(1), 93-126

We introduce a ring of noncommutative shifted symmetric functions based on an integer-indexed sequence of shift parameters. Using generating series and quasideterminants, this multiparameter approach produces deformations of the ring of noncommutativ... Read More about Noncommutative Shifted Symmetric Functions.