10 pages matching double Lie algebra in this book
Results 1-3 of 10
What people are saying - Write a review
We haven't found any reviews in the usual places.
Poisson manifolds and completely integrable systems
Poisson structures on Lie algebras
5 other sections not shown
2dimm a€R+ abelian Ad-invariant functions An_i bialgebra bilinear form Cartan involution Cartan subalgebra Centm(/x chapter choose ciAi commutation relations condition conjugate construction Corollary corresponding coupling constants decomposition define Definition derives Differentiating dimCentm(/x dimm dimt dominant weights double Lie algebra element Example finite-dimensional following properties functional equation fundamental dominant weights g is quasi-split given Hamilton's equations Hamiltonian systems Hamiltonian vector field hermitian implies integrable systems isomorphic Jacobi identity Killing form lattice Lax equation Lax pair Lemma Let g Lie algebra structure Lie group linear Math matrices models of type normal real form phase space Poisson automorphism Poisson bracket Poisson manifold Poisson structure Poisson submanifold Proof Prop Proposition quasi-split Lie algebras real semisimple Lie restricted root system root vectors satisfies 5.58 section 6.1 semisimple Lie algebra skew-symmetric sl(n solution Span su(n symmetric systems of type theorem type I-V unitary vf(x Weyl group Yang-Baxter operator