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Lie algebras are algebraic structures which were introduced to study the concept of infinitesimal transformations. The term "Lie algebra" (after Sophus Lie) was introduced by Hermann Weyl in the 1930s. In older texts, the name "infinitesimal group" is used. Related mathematical concepts include Lie groups and differentiable manifolds.
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What is Jantzen's formula for the determinant of the Shapovalov form in the case of generali...
Let me add some comments and clarifications for the Jantzen-Kac-Kazhdan formula for the determinant of the Shapovalov form of a generalized Verma module. The formula given in [Kac-Kazhdan '79] is:
$$d …