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{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${\mathbb {Z}}_3$$\end{document}-graded Clifford algebra on two generators by using a group algebra ...
in every subspace, with the results obtained by the four diagnosing rules most used in clinical practice and contemporary machine learning methods . This way we reveal the potential of using Clifford algebras ...
, principal and associated fiber bundles, connections on fiber bundles, Killing vector fields, geodesics and extremals, symplectic and Poisson manifolds, Clifford algebras , principle of least action, canonical ...
, principal and associated fiber bundles, connections on fiber bundles, Killing vector fields, geodesics and extremals, symplectic and Poisson manifolds, Clifford algebras , principle of least action, canonical ...
Abstract We compute the class of the classifying stack of the exceptional algebraic group |$G_2$| and of the spin groups |$\mathrm{Spin}_7$| and |$\mathrm{Spin}_8$| in the Grothendieck ring of stacks ...
generalization of the dispersionless 2DTLequation, being its differential reduction analogous to the Dunajskiinterpolating system.Some papers in the issue are concerned with methods to construct solutions ...
of the book [13] by keeping track of the Nakayama automorphism that appears in our general definition. In Section 5, we turn our attention to representation theory. Inspired by the methods of [24], we classify ...
for the construction of integrable systems with infinitely many degrees of freedom. The general theory is applied to several infinite-dimensional Lie algebras leading to new examples of dispersionless and dispersive ...
theorems for the latter. We also give a new proof (and a generalization ) of a theorem of Brumfiel. Let $$V$$ be an algebraic variety defined over $$ \mathbb {R}$$. The computation of its Witt ring $$W(V ...
classical. This will have, in particular, the advantage that the same method can be applied to more general spacetime manifolds M, in both the Lorentzian and Euclidean setting, that admit a twistor space Z ...
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