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Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)
Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ...
Exponential Tensor Modules
(2022-06-02)
Representation theory of Lie algebra of a finite dimensional reductive Lie algebra g is a long-standing problem. The ultimate goal is to classify all representations of g. However. the only case only case when a complete ...
BASES OF INFINITE-DIMENSIONAL REPRESENTATIONS OF ORTHOSYMPLECTIC LIE SUPERALGEBRAS
(2020-06-08)
We provide explicit bases of representations of the Lie superalgebra osp(1|2n) obtained by taking tensor products of infinite-dimensional representation and the standard representation. This infinite-dimensional representation ...