Results 81 to 90 of about 6,334,604 (358)
TEMPERED HOMOGENEOUS SPACES IV
Journal of the Institute of Mathematics of Jussieu, 2022 AbstractLet G be a complex semisimple Lie group and H a complex closed connected subgroup. Let and be their Lie algebras. We prove that the regular representation of G in $L^2(G/H)$ is tempered if and only if the orthogonal of in contains regular elements by showing simultaneously the equivalence to other striking conditions, such as has a ...
Yves Benoist, Toshiyuki Kobayashi
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Anti de Sitter Holography via Sekiguchi Decomposition
, 2016 In the present paper we start consideration of anti de Sitter holography in the general case of the (q+1)-dimensional anti de Sitter bulk with boundary q-dimensional Minkowski space-time.
C Fronsdal +13 more
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Exploring the role of cyclin D1 in the pathogenesis of multiple myeloma beyond cell cycle regulation
Molecular Oncology, EarlyView.Cyclin D1 overexpression altered the cell adhesion pathway, while cyclin D2 upregulation had less impact on pathway enrichment analysis. Multiple myeloma (MM) patients with cyclin D1 overexpression showed reduced CD56 expression and increased circulating tumor cells (CTC) levels, suggesting that cyclin D1 may contribute to MM cell dissemination ...
Ignacio J. Cardona‐Benavides +13 more
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Spaces with homogeneous norms [PDF]
Bulletin of the Australian Mathematical Society, 1980 Spaces with homogeneous norms are closely related to the Beppo Levi spaces of Deny and Lions, to spaces of Riesz potentials, and to Sobolev spaces. In this paper we survey the literature on them, give a broad extension of their definition, and present their basic theory. Many of the properties of Sobolev spaces have their analogues.
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There are no uniquely homogeneous spaces [PDF]
Proceedings of the American Mathematical Society, 1978 One could say a continuum is uniquely homogeneous if for each pair of points there is a unique homeomorphism taking the one point to the other. Ungar showed that such spaces are topological groups with no automorphisms. This note shows there are no such nontrivial groups.
William Barit, Peter Renaud
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Structure Theorem for Covariant Bundles on Quantum Homogeneous Spaces
, 2001 The natural generalization of the notion of bundle in quantum geometry is that of bimodule. If the base space has quantum group symmetries one is particularly interested in bimodules covariant (equivariant) under these symmetries.
Oeckl, Robert
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Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
wiley +1 more source