Results 1 to 10 of about 50 (50)
Defining relations of quantum symmetric pair coideal subalgebras
Forum of Mathematics, Sigma, 2021 We explicitly determine the defining relations of all quantum symmetric pair coideal subalgebras of quantised enveloping algebras of Kac–Moody type. Our methods are based on star products on noncommutative ${\mathbb N}$-graded algebras.
Stefan Kolb, Milen Yakimov
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On the systole growth in congruence quaternionic hyperbolic manifolds
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1265-1281, August 2022., 2022 Abstract We provide an explicit lower bound for the systole in principal congruence covers of compact quaternionic hyperbolic manifolds. We also prove the optimality of this lower bound.
Vincent Emery +2 more
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Open Mathematics, 2023 In this article, the coupled matrix nonlinear Schrödinger (NLS) type equations are gauge equivalent to the equation of Schrödinger flow from R1{{\mathbb{R}}}^{1} to complex Grassmannian manifold G˜n,k=GL(n,C)∕GL(k,C)×GL(n−k,C),{\widetilde{G}}_{n,k}={\rm ...
Zhong Shiping, Zhao Zehui, Wan Xinjie
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Frontiers in Applied Mathematics and Statistics, 2023 Population diffusion in river-ocean ecologies and for wild animals, including birds, mainly depends on the availability of resources and habitats. This study explores the dynamics of the resource-based competition model for two interacting species in ...
Ishrat Zahan +4 more
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Exterior products of operators and superoptimal analytic approximation
Transactions of the London Mathematical Society, Volume 8, Issue 1, Page 299-412, December 2021., 2021 Abstract We give a new algorithm for the construction of the unique superoptimal analytic approximant of a given continuous matrix‐valued function on the unit circle, using exterior powers of operators in preference to spectral or Wiener–Masani factorizations.
Dimitrios Chiotis +2 more
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The Kodaira dimension of some moduli spaces of elliptic K3 surfaces
Journal of the London Mathematical Society, Volume 104, Issue 1, Page 269-294, July 2021., 2021 Abstract We study the moduli spaces of elliptic K3 surfaces of Picard number at least 3, that is, U⊕⟨−2k⟩‐polarized K3 surfaces. Such moduli spaces are proved to be of general type for k⩾220. The proof relies on the low‐weight cusp form trick developed by Gritsenko, Hulek and Sankaran.
Mauro Fortuna, Giacomo Mezzedimi
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Canonical complex extensions of Kähler manifolds
Journal of the London Mathematical Society, Volume 101, Issue 2, Page 786-827, April 2020., 2020 Abstract Given a complex manifold X, any Kähler class defines an affine bundle over X, and any Kähler form in the given class defines a totally real embedding of X into this affine bundle. We formulate conditions under which the affine bundles arising this way are Stein and relate this question to other natural positivity conditions on the tangent ...
Daniel Greb, Michael Lennox Wong
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Parallelizations on products of spheres and octonionic geometry
Complex Manifolds, 2019 A classical theoremof Kervaire states that products of spheres are parallelizable if and only if at least one of the factors has odd dimension. Two explicit parallelizations on Sm × S2h−1 seem to be quite natural, and have been previously studied by the ...
Parton Maurizio, Piccinni Paolo
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On some compact almost Kähler locally symmetric space
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 69-72, 1998., 1997 In the framework of studying the integrability of almost Kähler manifolds, we prove that if a compact almost Kähler locally symmetric space M is a weakly ,∗‐Einstein vnanifold with non‐negative ,∗‐scalar curvature, then M is a Kähler manifold.
Takashi Oguro
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 263-266, 1996., 1996 Using algebraic topology, we find out the number of all non‐parallel s‐structures which an n‐dimensional Euclidean space En admits. The obtaining results are generalized on a manifold M which is CW‐complex.
Philippos J. Xenos, John N. Karatsobanis
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