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Symplectic homology product via Legendrian surgery. [PDF]
Bourgeois F, Ekholm T, Eliashberg Y.
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Open source software for electric field Monte Carlo simulation of coherent backscattering in biological media containing birefringence. [PDF]
Radosevich AJ +5 more
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New mechanics of traumatic brain injury. [PDF]
Ivancevic VG.
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Covariant noncommutative differential geometry
Journal of Mathematical Sciences, 1996See the review in Zbl 0817.46069.
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Noncommutative differential geometry related to the Young-Baxter equation
Journal of Mathematical Sciences, 1995Let \(V\) be a vector space over a (not necessarily commutative) ring \(k\), and consider the ``symmetry'' operator \(S\colon V^{\otimes 2}\to V^{\otimes 2}\), \(S(e_i\otimes e_j)=S^{kl}_{ij} e_k\otimes e_l\), \(e_i\in V\) (with summation over repeated indices), satisfying the Yang-Baxter equation \(S^{12}S^{23}S^{12}=S^{23}S^{12}S^{23}\).
Gurevich, D., Radul, A., Rubtsov, V.
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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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