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Quantum Clifford algebra from classical differential geometry
Journal of Mathematical Physics, 2002We show the emergence of Clifford algebras of nonsymmetric bilinear forms as cotangent algebras of Kaluza–Klein (KK) spaces pertaining to teleparallel space–times. These spaces are canonically determined by the horizontal differential invariants of Finsler bundles of the type, B′(M)→S(M), where B′(M) is the set of all the tangent frames to a ...
Jose G. Vargas, Douglas G. Torr
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Current Algebras, the Sugawara Model, and Differential Geometry
Journal of Mathematical Physics, 1970The Lie algebra defined by the currents in the Sugawara model is defined in a way that is natural from the point of view of Lie transformation theory and differential geometry. Previous remarks that the Sugawara model is associated with a field-theoretical dynamical system on a Lie group manifold are made more precise and presented in a differential ...
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GEOMETRY OF DIFFERENTIAL EQUATIONS AND PROJECTIVE REPRESENTATIONS OF THE WITT ALGEBRA
International Journal of Modern Physics B, 1992We give explicit expressions for the singular vectors in highest weight representations of the Virasoro algebra using a precise definition of fusion.
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Some Topics in Differential Algebraic Geometry I: Analytic Subgroups of Algebraic Groups
, 1972James Ax
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Some Topics in Differential Algebraic Geometry II: On the Zeros of Theta Functions
, 1972James Ax
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Finiteness results in differential algebraic geometry and Diophantine geometry
, 2005D. Schlomiuk+4 more
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