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Showing 1 to 7 of 7 for “"Symplectic Group"”.
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A Characterization of the Symplectic Group as A Rank Three Permutation Group
Made available in DSpace on 2014-12-11T18:24:16Z (GMT). No. of bitstreams: 1 7511762.pdf: 3112290 bytes, checksum: eafe4863b7aa11e88422d027bc957fc8 (MD5) Previous issue date: 1974
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Normal Subgroups of the Symplectic Group on a Countably Infinite Dimensional Vector Space
Made available in DSpace on 2014-12-09T22:17:35Z (GMT). No. of bitstreams: 1 6706681.pdf: 2168247 bytes, checksum: c684e5cf1d4e7bfbe57aaded21ad89f6 (MD5) Previous issue date: 1966
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Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian
The odd symplectic Grassmannian IG := IG(k, 2n + 1) parametrizes k dimensional subspaces of C^2n+1 which are isotropic with respect to a general (necessarily degenerate) symplectic form. The odd symplectic group acts on IG with two orbits, and IG is itself a smooth Schubert variety in the …
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Group integrals in chaotic quantum systems
We derive a recursion formula for a class of group integrals both in ordinary space and in superspace. These group integrals represent the generalization of Bessel functions to matrix and supermatrix spaces. Thereby we derive exact expressions for the one and two--point eigenvalue correlator of a …
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Aspects of symplectic dynamics and topology: gauge anomalies, chiral kinetic theory and transfer matrices
… in a semiclassical picture. The geometric (symplectic) formulation of classical mechanics is used to describe the dynamics of Weyl fermions in even spacetime dimensions, the only quantum input to the symplectic form being the Berry curvature that encodes the spin-momentum locking. The …
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Weil Representations of Unitary Groups
… . We distinguish three types of extensions A=R: symplectic, when is trivial and A = R; unramified, when the involution that induces on A=r is nontrivial; ramified, when the involution that induces on A=r is trivial. The last case further divides into two cases, even or odd, depending on the …
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On the N-body Problem
… stability of Kepler orbits, and index theory for symplectic path are studied. The history of their study is summarized in section 1. Section 2 deals with the following problem: given a collinear configuration of 4 bodies, under what conditions is it possible to choose positive masses which make it …