Results 21 to 30 of about 4,039,367 (143)
Projective group representations in quaternionic Hilbert space [PDF]
Journal of Mathematical Physics, 1996 We extend the discussion of projective group representations in quaternionic Hilbert space that was given in our recent book. The associativity condition for quaternionic projective representations is formulated in terms of unitary operators and then analyzed in terms of their generator structure.
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Maps to Spaces in the Genus of Infinite Quaternionic Projective Space [PDF]
, 2003 Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of ...
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On the determinant of quaternionic polynomial matrices and its application to system stability [PDF]
, 2008 In this paper, we propose a definition of determinant for quaternionic, polynomial matrices inspired by the well-known Dieudonne determinant for the constant case.
Paula Rocha +3 more
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Ambient surgery and tangential homotopy quaternionic projective spaces. [PDF]
Transactions of the American Mathematical Society, 1969 Introduction. In this paper the word manifold will always mean oriented compact C "-manifold. Unless otherwise specified, all homology and cohomology is taken with integral coefficients, and for Mn an n-manifold, [M] E Hn(M, AM) will denote the orientation class of M. A mapf: M-N between n-manifolds is of degree +1 iff*([M])=[N].
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Nonnegative Reduced Biquaternion Matrix Factorization With Applications in Color Face Recognition
Numerical Linear Algebra with Applications, Volume 33, Issue 5, October 2026.ABSTRACT Quaternion numbers are commonly used to represent color image pixels. Since color image pixels are nonnegative, nonnegativity constraint should be incorporated into the components of quaternion numbers. However, existing quaternion‐based matrix factorization models do not fully satisfy nonnegativity constraints.
Jifei Miao, Junjun Pan, Michael K. Ng
wiley +1 more source
On the symmetric square of quaternionic projective space [PDF]
, 2016 The main purpose of this thesis is to calculate the integral cohomology ring of the symmetric square of quaternionic projective space, which has been an open problem since computations with symmetric squares were first proposed in the 1930's.
Boote, Yumi
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Quantization of the Geodesic Flow on Quaternion Projective Spaces
Annals of Global Analysis and Geometry, 2002 no ...
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Free semigroups of large critical exponent
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley +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
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Whitney numbers of projective space over R, C, H and the p-adics
, 1995 We define Whitney numbers for real projective space, complex projective space, quaternionic projective space, and projective space over the p ...
Fisk, Steve
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