- In mathematics, the
metaplectic group Mp2n is a
double cover of the
symplectic group Sp2n. It can be
defined over
either real or p-adic numbers. The construction...
-
differential geometry, a
metaplectic structure is the
symplectic analog of spin
structure on
orientable Riemannian manifolds. A
metaplectic structure on a symplectic...
-
rotations are a subgroup). More specifically, for
every member of the
metaplectic group (which is a
double cover of the
symplectic group)
there is a corresponding...
-
include the spin groups, pin groups, and
metaplectic groups.
Roughly explained,
saying that for
example the
metaplectic group Mp2n is a
double cover of the...
- {\displaystyle {\widetilde {SL}}_{2}(k_{\infty })=Mp_{2}(k_{\infty })} .
Metaplectic morphism η : S L 2 ( R ) → S L ~ 2 ( k ∞ ) , ( a b c d ) ↦ ( ( a b c...
- and
Abelian linear group, and is the Gr****
analog of "complex". The
metaplectic group is a
double cover of the
symplectic group over R; it has analogues...
- fish
skulls Symplectite, in
reference to a
mineral intergrowth texture Metaplectic group Symplectomorphism This
disambiguation page
lists articles ****ociated...
- a more
conceptual explanation using an
explicit construction of the
metaplectic group as a
double cover of SL(2,R). SL(2,R) acts by Möbius transformations...
- Z). Also
closely related is the 2-fold
covering group, Mp(2, R), a
metaplectic group (thinking of SL(2, R) as a
symplectic group).
Another related group...
- In
differential geometry,
given a
metaplectic structure π P : P → M {\displaystyle \pi _{\mathbf {P} }\colon {\mathbf {P} }\to M\,} on a 2 n {\displaystyle...
