Connected groups of semisimple elements

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Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Covers the isotopic decomposition of modules into simple components and their properties.

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Explores associativity, Lie algebra, Lie groups, relativity, and symmetry preservation in quantum field theory.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Explores the embedding of chi-varieties into vector spaces with linear actions.

Explores various directions for studying algebraic groups and offers references for further exploration.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers the properties of finite dimensional algebras and non-semisimple representations.