×

lie groups and lie algebrasの例文

例文

    もっと例文:   1  2  3  4

  1. A large number of modern mathematical theories harmoniously converges in the framework of secondary calculus, for instance : commutative algebra and algebraic geometry, homological algebra and differential topology, Lie group and Lie algebra theory, differential geometry, etc.
  2. If is such a representation, then according to the relation between Lie groups and Lie algebras, it induces a Lie algebra representation, i . e ., a Lie algebra homomorphism from or to the Lie algebra of commutator bracket.
  3. The groups that describe those symmetries are Lie groups, and the study of Lie groups and Lie algebras reveals much about the physical system; for instance, the number of force carriers in a theory is equal to dimension of the Lie algebra, and these bosons interact with the force they mediate if the Lie algebra is nonabelian.
  4. The use of Grassmann-valued coordinates has spawned the field of supermathematics, wherein large portions of geometry can be generalized to super-equivalents, including much of Riemannian geometry and most of the theory of Lie groups and Lie algebras ( such as Lie superalgebras, " etc . " ) However, issues remain, including the proper extension of deRham cohomology to supermanifolds.

隣接する単語

  1. "lie group isomorphism"の例文
  2. "lie group representation"の例文
  3. "lie group theory"の例文
  4. "lie groupoid"の例文
  5. "lie groups"の例文
  6. "lie heavy on"の例文
  7. "lie idle"の例文
  8. "lie in"の例文
  9. "lie in a heap"の例文
  10. "lie in ambush"の例文
  11. "lie groupoid"の例文
  12. "lie groups"の例文
  13. "lie heavy on"の例文
  14. "lie idle"の例文
パソコン版で見る

著作権 © 2018 WordTech 株式会社