symplectic group

名词 n.
中文释义

英文释义

名词 n.
  1. For given field F and positive integer n, the group of 2n×2n symplectic matrices with elements in F.
    — This representation ω arises by virtue of the existence of an action by automorphisms of the symplectic group on a certain two-step nilpotent group, commonly called the Heisenberg group. Weil was of course working in the adelic formalism of modern number theory, so he considered symplectic groups and Heisenberg groups with coefficients in a general local field.

词形变化

symplectic groups plural

词源

So named by German mathematician Hermann Weyl, replacing previous confusing names. More at symplectic.
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