Results 91 to 100 of about 1,958 (231)
Algebras almost commuting with Clifford algebras
, 1990 We consider Banach algebras of operators on real and complex Hilbert spaces which almost commute with Clifford algebras in the sense that the commutator with all but one generator of the Clifford algebra is trivial but with the last, lies in a symmetric ...
Carey, A.L, Evans, D.E
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Machine Learning Clifford invariants of ADE Coxeter elements
There has been recent interest in novel Clifford geometric invariants of linear transformations. This motivates the investigation of such invariants for a certain type of geometric transformation of interest in the context of root systems, reflection ...
Hirst, Edward +19 more
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Clifford and Heisenberg algebras
, 2011 This chapter recalls various results on Clifford algebras and Heisenberg algebras. It first introduces the Clifford algebra of a vector space V equipped with a symmetric bilinear form B and then specializes the construction of the Clifford algebra to the
Jean-Michel Bismut
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Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group $W$ and two skew-polynomial subalgebras of anticommuting generators.
Ta Khongsap, Weiqiang Wang
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A Note on the Representation of Clifford Algebras
Journal of Geometry and Symmetry in Physics, 2020 In this note we construct explicit complex and real faithful matrix representations of the Clifford algebras $\Cl_{p,q}$. The representation is based on Pauli matrices and has an elegant structure similar to the fractal geometry. In the cases $p+q=4m$, the representation is unique in equivalent sense, and the $1+3$ dimensional space-time corresponds to
openaire +2 more sources
The Extended Fock Basis of Clifford Algebra
, 2011 We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras [1] with which one can replace the traditional multivector expansion of Cl(g) with an expansion in terms of simple (also: pure) spinors. We show that a Clifford algebra
Marco Budinich, BUDINICH, MARCO
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On PBW-Deformations of Braided Exterior Algebras [PDF]
, 2018 We classify PBW-deformations of quadratic-constant type of certain quantizations of exterior algebras. These correspond to the fundamental modules of quantum slN, their duals, and their direct sums.
Matassa, Marco
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3-Hom-Lie Algebras Based on σ-Derivation and Involution
, 2020 We show that, having a Hom-Lie algebra and an element of its dual vector space that satisfies certain conditions, one can construct a ternary totally skew-symmetric bracket and prove that this ternary bracket satisfies the Hom-Filippov-Jacobi identity, i.
Silvestrov, Sergei,, Abramov, Viktor,
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Clifford Algebras and Possible Kinematics
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We review Bacry and Lévy-Leblond's work on possible kinematics as applied to 2-dimensional spacetimes, as well as the nine types of 2-dimensional Cayley-Klein geometries, illustrating how the Cayley-Klein geometries give homogeneous spacetimes for all ...
Alan S. McRae
doaj
Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
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