Results 11 to 20 of about 2,887 (210)
Group extensions and discrete subgroups of Lie groups [PDF]
Proceedings of the American Mathematical Society, 1972 Let F be a discrete uniform subgroup of a connected simply connected solvable Lie group S. It is shown how S is essentially determined by F, using the point of view of group extensions. Let r be a discrete uniform subgroup of a connected simply connected solvable Lie group S.
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Partial differential operators and discrete subgroups of a Lie group
Mathematische Annalen, 1980 Palle Jörgensen, Jörgensen Palle E T
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ON THE DISCRETE SUBGROUPS AND HOMOGENEOUS SPACES OF NILPOTENT LIE GROUPS [PDF]
Nagoya Mathematical Journal, 1951 Recently A, Malcev has shown that the homogeneous space of a connected nilpotent Lie group G is the direct product of a compact space and an Euclidean-space and that the compact space of this direct decomposition is also a homogeneous space of a connected subgroup of G.
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Symmetry, Integrability and Geometry: Methods and Applications, 2009 The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
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Non-discrete uniform subgroups of semisimple Lie groups
Mathematische Annalen, 1972 Hsien-Chung Wang +2 more
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Non-invertible symmetries and higher representation theory II
SciPost PhysicsIn this paper we continue our investigation of the global categorical symmetries that arise when gauging finite higher groups and their higher subgroups with discrete torsion.
Thomas Bartsch, Mathew Bullimore, Andrea E. V. Ferrari, Jamie Pearson
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On walks of variable length in the Schubert incidence systems and multivariate flow ciphers
Доповiдi Нацiональної академiї наук УкраїниThe flow cipher algorithm based on walks at the flag variety of a Schubert system over the finite commutative ring is proposed. The restriction of the incidence relation of the geometry of a finite simple Lie group of the normal type on the union of ...
V.A. Ustimenko
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Auditory–Tactile Congruence for Synthesis of Adaptive Pain Expressions in RoboPatients
Advanced Robotics Research, EarlyView.In this work, we explore auditory–tactile congruence for synthesizing adaptive vocal pain expressions in robopatients. Using a robopatient platform that integrates vocal pain sounds with palpation forces, we conducted 7680 trials across 20 participants.
Saitarun Nadipineni +4 more
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Advanced Science, EarlyView.Single‐cell longitudinal profiling reveals that androgen‐deprivation therapy induces a DPT+ fibroblast‐complement axis that suppresses macrophage inflammation and drives CD8+ T cell exhaustion in prostate cancer. Concurrently, resistant epithelial subpopulations persist and engage TSPAN1‐ and NRXN1‐mediated programs promoting CRPC and neuroendocrine ...
Yang Chen +19 more
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