3 papers
math.AG2023
Towards a full exceptional collection for the adjoint Grassmannian of type e6
Valentin Boboc
We construct a Lefschetz exceptional collection of vector bundles in the bounded derived category of coherent sheaves of the adjoint/coadjoint Grassmannian of type of dimensi…
cs.CL2023
An algebraic approach to translating Japanese
Valentin Boboc
We use Lambek's pregroups and the framework of compositional distributional models of language ("DisCoCat") to study translations from Japanese to English as pairs of functors. Add…
cs.CL2023
-augmented pregroups and applications to linguistics
Valentin Boboc
We enrich pregroups with a mapping which allows us to locally apply precyclic permutations to designated substrings. We prove a normalisation theorem for such algebraic structures…