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Cartan decomposition Fundamental representation Lie's third theorem Semisimple lie algebra Lie algebra representation Lie algebra extension Iwasawa decomposition Primary decomposition Indefinite orthogonal group Lattice Killing form Selberg trace formula Adjoint representation Ideal class group Complexification Dedekind domain Class field theory Polar decomposition Frobenius algebra Dirichlet's approximation theorem Lefschetz fixed-point theorem Cayley's theorem Polarization Borel subgroup Representation theory of su Lefschetz hyperplane theorem Complex lie group Poisson manifold Cartan subalgebra Exponential map Special linear lie algebra Lie algebra Constructible universe Closed-subgroup theorem Adelic algebraic group Generating set of a group Geometric group theory Modularity theorem Derivative of the exponential map Liouville field theory Grothendieck group Chen's theorem Schur product theorem Special unitary group Representation of a lie group Levi-civita connection Pontryagin duality Product Lattice of subgroups Sum of two squares theorem Projective representation Group of lie type Semigroup action Affine group Poisson algebra Abelian variety Fundamental group Maschke's theorem Group representation Dimension Isogeny Coproduct Isomorphism theorems Hilbert projection theorem Algebraic analysis Projective variety Irreducible representation Lie product formula Semidirect product Projective linear group Solvable group Euclidean topology Leibniz formula for determinants Primitive element theorem Sedenion Algebraic combinatorics Symmetric group Stickelberger's theorem Burnside's theorem Representation theory Product category Tensor product of representations Finitely generated group Lie bracket of vector fields Functional determinant Commutator subgroup Complemented subspace Semialgebraic set Spectrum of a ring Equivariant cohomology Gram matrix Tensor product Projective unitary group Lagrange's identity Composition algebra Segre embedding Killing vector field Frobenius normal form Intersection theory Category theory

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