Results 41 to 50 of about 263 (180)
Clifford Fibrations and Possible Kinematics
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Following Herranz and Santander [Herranz F.J., Santander M., Mem. Real Acad. Cienc. Exact. Fis. Natur. Madrid 32 (1998), 59-84, physics/9702030] we will construct homogeneous spaces based on possible kinematical algebras and groups [Bacry H., Levy ...
Alan S. McRae
doaj +1 more source
Transient Hydrology in Amazonis Planitia (Mars) in the Aftermath of the Tooting Impact
Journal of Geophysical Research: Planets, Volume 130, Issue 11, November 2025.Abstract Hydrological flows generated by meteoroid impact are still largely unexplored on Mars and may also have implications for Earth. We reconstructed the hydrological sequence initiated on Mars by a less than 3 Ma old meteoroid impact that formed the 28 km‐wide Tooting crater on Amazonis Planitia, an ice‐bearing region.
Fabio Vittorio De Blasio +2 more
wiley +1 more source
Extension Theorem for Complex Clifford Algebras-Valued Functions on Fractal Domains
Boundary Value Problems, 2010 Monogenic extension theorem of complex Clifford algebras-valued functions over a bounded domain with fractal boundary is obtained. The paper is dealing with the class of Hölder continuous functions.
Paul Bosch +2 more
doaj +2 more sources
Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
Advanced Quantum Technologies, Volume 8, Issue 10, October 2025.This article proposes the Progressive Widening enhanced Monte Carlo Tree Search (PWMCTS) to design parameterized quantum circuits. It improves the efficiency of the previous MCTS‐based techniques in terms of number of quantum circuit evaluation, number of gates and CNOT count.
Vincenzo Lipardi +3 more
wiley +1 more source
Differential forms versus multi-vector functions in Hermitean Clifford analysis
Cubo, 2011 Similarities are shown between the algebras of complex differential forms and of complex Clifford algebra-valued multi-vector functions in an open region of Euclidean space of even dimension.Se presentan las similitudes entre las álgebras de formas ...
F Brackx +2 more
doaj
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Explicit isomorphisms of real Clifford algebras
International Journal of Mathematics and Mathematical Sciences, 2006 It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ.
N. Değırmencı, Ş. Karapazar
doaj +1 more source
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
doaj +1 more source
Special Functions of Hypercomplex Variable on the Lattice Based on SU(1,1)
Symmetry, Integrability and Geometry: Methods and Applications, 2013 Based on the representation of a set of canonical operators on the lattice hZn, which are Clifford-vector-valued, we will introduce new families of special functions of hypercomplex variable possessing su(1,1) symmetries. The Fourier decomposition of the
Nelson Faustino
doaj +1 more source