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Results tagged with lie-algebras
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user 38283
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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Representation theory, classical Lie algebra, D_{n}
I want to know the fundamental representation of classical Lie algebra of type $D_{n}$ over complex numbers with the following informations. For example, $L(\omega_i)$ be a fundamental rep of fundamen …
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Irreducible quotient of $U\otimes V$
All modules here are finite dimensional. The field is over complex number. Let $U$ be an irreducible $\mathfrak{sl}_n$-module, and $V$ is a highest weight $\mathfrak{sl}_n$-module. Suppose $U\otimes V …
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