3 citations · 3 across the 3 of their papers we have counts for
4 papers
Lattice paths on snake graphs for q-deformed rationals
Jérôme Germoni
We give an elementary, straightforward proof of Ovenhouse's interpretation of the denominator and the numerator of a (right) q-deformed rational in terms of weighted lattice paths…
Explicit construction of the finite dimensional indecomposable representations of the simple Lie-Kac superalgebra and their low level non diagonal super Casimir operators
Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni
All finite dimensional irreducible representations of the simple Lie-Kac super algebra SU(2/1) are explicitly constructed in the Chevalley basis as complex matrices. For typical re…
Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series
Jean Thierry-Mieg, Peter D. Jarvis, Jerome Germoni +1
We construct a new class of finite dimensional indecomposable representations of simple superalgebras which may explain, in a natural way, the existence of the heavier elementary p…
Calogero-Moser cells of dihedral groups at equal parameters
Cédric Bonnafé, Jérôme Germoni
We prove that Calogero-Moser cells coincide with Kazhdan-Lusztig cells for dihedral groups, in the equal parameter case.