Kirillov Paradigm for Heisenberg Group

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Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

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Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.

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

Discusses separation criteria and quotient spaces in topology, emphasizing their applications and theoretical foundations.

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

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Covers the Weil representation, Heis operators, Stone-Neumann theorem, unitary operators, Lie algebra structure, and symplectic form.