The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
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Generalised killing spinors on three-dimensional Lie groups. [PDF]
Artacho D.
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A study on different methods to change the Rayleigh number in the analysis of heat transfer. [PDF]
Chandrakar V +4 more
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Employing Observability Rank Conditions for Taking into Account Experimental Information a priori. [PDF]
Villaverde AF.
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Curvature estimation techniques for advancing neurodegenerative disease analysis: a systematic review of machine learning and deep learning approaches. [PDF]
Sadegh-Zadeh SA +5 more
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Differential forms in computational algebraic geometry [PDF]
We give a uniform method for the two problems #CCC and #ICC of counting connected and irreducible components of complex algebraic varieties, respectively. Our algorithms are purely algebraic, i.e., they use only the field structure of C. They work efficiently in parallel and can be implemented by algebraic circuits of polynomial depth, i.e., in ...
Peter Scheiblechner, Peter Bürgisser
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Noncommutative differential geometry of matrix algebras
Journal of Mathematical Physics, 1990The noncommutative differential geometry of the algebra Mn (C) of complex n×n matrices is investigated. The role of the algebra of differential forms is played by the graded differential algebra C(sl(n,C),Mn (C))=Mn (C)⊗Λsl(n,C)*,sl(n,C) acting by inner derivations on Mn (C).
Dubois-Violette, Michel +2 more
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Differential geometry on Grassmann algebras
Letters in Mathematical Physics, 1976H. C. Lee [1] developed the analogue of Riemannian geometry on a real symplectic manifold — the fundamental skew two-form taking the place of the symmetric tensor. The usual Riemannian concepts do not adapt themselves very well, thus ‘curvature’ is represented by a tensor of the third rank and ‘Killing's equations’ now involve this ‘curvature tensor ...
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Differential algebra (contravariant analytic methods in differential geometry) [PDF]
The problems of developing the apparatus of differential-geometric investigations based on the calculus of differential operators on bundles of semiholonomic jets of Ehresmann are considered.
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Numerical Algebraic Geometry and Differential Equations [PDF]
In this paper we review applications of numerical algebraic geometry to differential equations. The techniques we address are direct solution, bootstrapping by filtering, and continuation and bifurcation. We review differential equations systems with multiple solutions and bifurcations.
Bei Hu, Wenrui Hao, Andrew J. Sommese
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