enveloping algebra meaning in Hindi

Examples

1. This derivation extends to the universal enveloping algebra of the Lie algebra.
2. The universal enveloping algebra is obtained by modding out the Poisson algebra structure.
3. Quantum deformations of the universal enveloping algebra lead to the notion of quantum groups.
4. The usual algebraic proof makes use of the Casimir element of the universal enveloping algebra.
5. Conversely to any Lie algebra there is a corresponding ring, called the universal enveloping algebra.
6. This is analogous to looking at the center of the universal enveloping algebra of a Lie algebra.
7. The universal enveloping algebra of a Lie algebra \ mathfrak { g } is also naturally filtered.
8. For example, the enveloping algebra of a complex Lie algebra is almost commutative by the PBW theorem.
9. With Masaki Kashiwara, she formulated a conjecture about the combinatorial structure of the enveloping algebras of Lie algebras.
10. Over the rationals this identifies the Hopf algebra NSYmm with the universal enveloping algebra of the free Lie algebra.