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Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schr\"odinger operators
Antonio Arnal, Jussi Behrndt, Markus Holzmann, Petr Siegl
https://arxiv.org/abs/2505.22321

Generalized boundary triples for adjoint pairs with applications to non-self-adjoint Schrödinger operators
We extend the notion of generalized boundary triples and their Weyl functions from extension theory of symmetric operators to adjoint pairs of operators, and we provide criteria on the boundary parameters to induce closed operators with a nonempty resolvent set. The abstract results are applied to Schrödinger operators with complex $L^p$-potentials on bounded and unbounded Lipschitz domains with compact boundaries.

Quasi-triangular Novikov bialgebras and related bialgebra structures
Zhanpeng Cui, Bo Hou
https://arxiv.org/abs/2505.19579 https://ar…

Quasi-triangular Novikov bialgebras and related bialgebra structures
We introduce the notion of quasi-triangular Novikov bialgebras, which constructed from solutions of the Novikov Yang-Baxter equation whose symmetric parts are invariant. Triangular Novikov bialgebras and factorizable Novikov bialgebras are important subclasses of quasi-triangular Novikov bialgebras. A factorizable Novikov bialgebra induces a factorization of the underlying Novikov algebra and the double of any Novikov bialgebra naturally admits a factorizable Novikov bialgebra structure. Moreov…