geometry, a metaplectic structure is the symplectic analog of spin structure on orientable Riemannian manifolds. A metaplectic structure on a symplectic...

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...

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...

mathematical formulation of these theories is a "Lipschitz structure". Metaplectic structure Orthonormal frame bundle Spinor Haefliger, A. (1956). "Sur...

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...

reductive G-structure on the manifold M {\displaystyle M\,} . Metaplectic group Metaplectic structure Symplectic basis Symplectic structure Symplectic...

the topological central extensions of these groups and computed the "metaplectic kernel" for isotropic groups in collaboration with M. S. Raghunathan...

(in even dimension) doubly cover the projective orthogonal group. the metaplectic groups, which double cover the symplectic groups. The case of SL2(R)...

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...

complex group. A very important example of such a real group is the metaplectic group, which appears in infinite-dimensional representation theory and...

and Abelian linear group, and is the Greek analog of "complex". The metaplectic group is a double cover of the symplectic group over R; it has analogues...

bundle Spin structure Table of Lie groups Anyon Orientation entanglement Pin group Pin(n) – two-fold cover of orthogonal group, O(n) Metaplectic group Mp(2n)...

 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...

a symplectomorphism in the classical theory would now deform to a (metaplectic) unitary transformation. In particular, the time evolution symplectomorphism...

symplectic form, and their action on the Hilbert space is given by the Metaplectic group. The basic properties of the transformations mentioned above, such...

isomorphic to the integers Z. The double cover H of SL(2,R), known as the metaplectic group, is a Lie group that cannot be viewed as a linear algebraic group...

chart for the metaplectic group, when it is viewed as a Lie group, that is, as a manifold equipped with a continuous algebraic structure". In Hiley's framework...

representations of elements of a reductive dual pair. Heisenberg group Metaplectic group Howe, Roger E. (1979), "θ-series and invariant theory" (PDF), in...

weight ⁠1/2⁠ and level 1 for a certain character of order 24 of the metaplectic double cover of the modular group, and can be used to define other modular...

spaces. By definition, all finite coverings of SL(2,R) (such as the metaplectic group) are real reductive groups. On the other hand, the universal cover...