Results 41 to 50 of about 341,392 (155)
On the Geometric Structure of Hyperbolic Clifford Bundles and Associated Spin Groups
AxiomsIn this paper, we present the spinor structure associated with the Hyperbolic Clifford algebra of a real n-dimensional vector space V, which is denoted by ClHV.
Eduardo Notte-Cuello
doaj +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract This paper investigates the maximal subgroups of a free projection‐generated regular ∗$*$‐semigroup PG(P)${{\textsf {PG}}}(P)$ over a projection algebra P$P$, and their relationship to the maximal subgroups of the free idempotent‐generated semigroup IG(E)${{\textsf {IG}}}(E)$ over the corresponding biordered set E=E(P)$E = {{\textsf {E}}}(P)$.
James East +3 more
wiley +1 more source
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
doaj
Advanced Physics Research, Volume 5, Issue 7, July 2026.ABSTRACT We introduce a family of bosonic quantum error‐correcting codes built as a rotation‐symmetric superposition of squeezed vacuum states, which promise protection against both loss and dephasing noise channels. The robustness of these “squeezed‐vacuum codes” arises from being arranged at evenly spaced angles in phase‐space, and simultaneously in ...
Nir Gutman +4 more
wiley +1 more source
A Geometric Algebra Co-Processor for Color Edge Detection
, 2015 This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific Integrated Circuit (ASIC).
Wilcock, Reuben +5 more
core +1 more source
Computing the Molecular Ground State Energy in a Restricted Active Space Using Quantum Annealing
Advanced Quantum Technologies, Volume 9, Issue 7, July 2026.Can modern quantum annealers tackle realistic molecular problems? By combining XBK Hamiltonian mappings, next‐generation D‐Wave hardware, and advanced annealing protocols, significantly larger molecular instances become accessible with improved energy accuracy.
Stefano Bruni, Enrico Prati
wiley +1 more source
Differential Structure Of The Hyperbolic Clifford Algebra
, 2015 This paper presents a thoughful review of: (a) the Clifford algebra (Formula presented.) of multivecfors which is naturally associated with a hyperbolic space HV ; (b) the study of the properties of the duality product of multivectors and multiforms; (c)
Notte-Cuello E.A., Rodrigues Jr. W.A.
core +1 more source
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
wiley +1 more source