15 citations · 38 across the 12 of their papers we have counts for
13 papers
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…
Indecomposable doubling for representations of the type I Lie superalgebras sl(m/n) and osp(2/2n)
Peter D. Jarvis, Jean Thierry-Mieg
We establish that for the type I Lie superalgebras and , each Kac module admits a 1 parameter family of indecomposable double extensions. The result follows fr…
SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions
Jean Thierry-Mieg, Peter Jarvis
We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form , by a superalgebra-…
Scalar anomaly cancellation reveals the hidden superalgebraic structure of the quantum chiral SU(2/1) model of leptons and quarks
Jean Thierry-Mieg
At the classical level, the SU(2/1) superalgebra offers a natural description of the elementary particles: leptons and quarks massless states, graded by their chirality, fit the sm…
Chirality, a new key for the definition of the connection and curvature of a Lie-Kac super-algebra
Jean Thierry-Mieg
A natural generalization of a Lie algebra connection, or Yang-Mills field, to the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of ordinary complex functions a…