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Advances in Applied Clifford Algebras, 2021
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P. Cerejeiras, M. Vajiac
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
P. Cerejeiras, M. Vajiac
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Acta Mathematica Hungarica, 2002
Let \(R\) be an associative ring and let \((R,\circ)\) be the adjoint semigroup of \(R\), where \(a\circ b=a+b-ab\) for \(a,b\in R\). This paper continues the authors' investigations into the relationship between a ring and its adjoint semigroup [\textit{H. Heatherly} and \textit{R. P. Tucci}, Acta Math. Hung. 90, No. 3, 231-242 (2001; Zbl 0973.20059)].
Heatherly, Henry, Tucci, Ralph P.
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Let \(R\) be an associative ring and let \((R,\circ)\) be the adjoint semigroup of \(R\), where \(a\circ b=a+b-ab\) for \(a,b\in R\). This paper continues the authors' investigations into the relationship between a ring and its adjoint semigroup [\textit{H. Heatherly} and \textit{R. P. Tucci}, Acta Math. Hung. 90, No. 3, 231-242 (2001; Zbl 0973.20059)].
Heatherly, Henry, Tucci, Ralph P.
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Clifford Algebras and Clifford Modules
1993We study bundles over a point, recalling the definition of the Clifford algebra Cl(V, q) of a real vector space V of dimension m equipped with a positive definite inner product q; the ℤ2-grading of Clifford algebras is shown, followed by an introduction of complex representations of Clifford algebras and the concept of complex Cl(V, q)-modules and of ...
Bernhelm Booß-Bavnbek +1 more
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On Clifford neurons and Clifford multi-layer perceptrons
Neural Networks, 2008We study the framework of Clifford algebra for the design of neural architectures capable of processing different geometric entities. The benefits of this model-based computation over standard real-valued networks are demonstrated. One particular example thereof is the new class of so-called Spinor Clifford neurons.
Buchholz, Sven, Sommer, Gerald
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The Annals of Mathematics, 1970
Let G be a group, N be a normal subgroup of G, and p be an irreducible (finite-dimensional) character of N in some algebraically closed field a. Assume that the stabilizer G, of p in G has finite index in G. Then Clifford's theory [2] gives us a central extension G of the multiplicative group F of a by GIN together with a one-to-one correspondence ...
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Let G be a group, N be a normal subgroup of G, and p be an irreducible (finite-dimensional) character of N in some algebraically closed field a. Assume that the stabilizer G, of p in G has finite index in G. Then Clifford's theory [2] gives us a central extension G of the multiplicative group F of a by GIN together with a one-to-one correspondence ...
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Clifford Bundles and Clifford Algebras
2004In view of General Relativity, it is necessary to study physical fields, including solutions of the Dirac equation, in curved spacetimes. It is generally believed that the study of Riemannian (positive definite) metrics (infinitesimal distance functions) will ultimately be relevant to the more directly physical problem of Lorentz signature metrics, via
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Clifford theory and applications
Journal of Mathematical Sciences, 2008The authors present a classical introduction to Clifford theory. As an application, they explicitly describe the irreducible representations of a class of metacyclic groups and of the groups with a subgroup of index \(2\).
SCARABOTTI, Fabio +2 more
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Archaeological Excavation: Clifford Castle, Clifford, Herefordshire
2014Bound report in A4, twenty eight pages, full colour.
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Archaeological Observation: Clifford Castle, Clifford, Herefordshire
2015Bound report in A4, eleven pages, full colour.
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