These relativistic and Newtonian transformations are expressed in spaces of general dimension in terms of representations of the Poincaré group and of the Galilean group.
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Jens Carsten Jantzen (born 18 October 1948, Störtewerkerkoog, Nordfriesland) is a mathematician working on representation theory and algebraic groups, who introduced the Jantzen filtration, the Jantzen sum formula, the Jantzen conjecture, and translation functors.
In a field of mathematics known as representation theory pure spinors (or simple spinors) are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra.
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.
Deligne–Lusztig theory (Green function) in the representation theory of finite groups of Lie type.
Michel Duflo (born 1943) is a French mathematician working in the representation theory of Lie groups.