Carter–Payne homomorphisms and Jantzen filtrations

Carter–Payne homomorphisms and Jantzen filtrations

We prove a q-analogue of the Carter–Payne theorem in the case where the differences between the parts of the partitions are sufficiently large. We identify a layer of the Jantzen filtration which contains the image of these Carter–Payne homomorphisms and we show how these homomorphisms compose.

The Cyclotomic Jantzen{schaper Theorem

Residue Symbols and Jantzen-Seitz Partitions

Jantzen-Seitz partitions are those p-regular partitions of n which label p-modular irreducible representations of the symmetric group S n which remain irreducible when restricted to S n?1 ; they have recently also been found to be important for certain exactly solvable models in statistical mechanics. In this article we study their combinatorial properties via a detailed analysis of their resid...

Continuity, freeness, and filtrations

The role played by continuous morphisms in propositional modal logic is investigated: it turns out that they are strictly related to filtrations and to suitable variants of the notion of a free algebra. We also employ continuous morphisms in the incremental construction of (standard) finitely generated free S4-algebras. This Technical Report reproduces the content of my talk given at the worksh...

Rhombus Filtrations and Rauzy Algebras

Abstract. Peach introduced rhombal algebras associated to quivers given by tilings of the plane by rhombi. We develop general techniques to analyze rhombal algebras, including a filtration by what we call rhombus modules. We introduce a way to relate the infinite-dimensional rhombal algebra corresponding to a complete tiling of the plane to finite-dimensional algebras corresponding to finite po...