Results 61 to 70 of about 19,016 (193)
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
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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
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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
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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
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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
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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
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Algebraic structures in generalized Clifford analysis and applications to boundary value problems
Bulletin of Computational Applied Mathematics, 2016 The present article has a threefold purpose: First it is a survey of the algebraic structures of generalized Clifford-type algebras and shows the main results of the corresponding Clifford-type analysis and its application to boundary value problems ...
José Játem, Judith Vanegas
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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
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Operator Homology and Cohomology in Clifford Algebras
Cubo, 2010 In recent work, the authors used canonical lowering and raising operators to define Appell systems on Clifford algebras of arbitrary signature. Appell systems can be interpreted as polynomial solutions of generalized heat equations, and in probability ...
René Schott, G. Stacey Staples
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ScienceOpen Research, 2014 The projective representation of groups was introduced in 1904 by Issai Schur. It differs from the normal representation of groups by a twisting factor, which we call Schur function in this book and which is called sometimes normalized factor set in the ...
Corneliu Constantinescu
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