Results 1 to 10 of about 1,135,761 (210)
Coxeter Orbits and Modular Representations [PDF]
Nagoya Mathematical Journal, 2005 We study the modular representations of finite groups of Lie type arising in the cohomology of certain quotients of Deligne-Lusztig varieties associated with Coxeter elements.
C. Bonnafé, R. Rouquier
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Modular Representations of the Symmetric Group
Canadian Journal of Mathematics, 1951 The theory of modular representations of the symmetric group was studied first by Nakayama (5, 6), and later by Thrall and Nesbitt (11) and Robinson (7, 8, 9). Nakayama built up his elaborate theory of hooks for the express purpose of studying this problem, while Robinson's extensive work on the ...
J. H. Chung
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Computing with Endomorphism Rings of Modular Representations
Journal of Symbolic Computation, 1990 The representation theory has benefited greatly from computational methods and the benefit may even increase in the next future when dealing with more and more complicated examples. So, this paper which presents new algorithms for computing invariants in modular representation theory may be very appreciated.
Gerhard J. A. Schneider
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Nerfstudio: A Modular Framework for Neural Radiance Field Development [PDF]
International Conference on Computer Graphics and Interactive Techniques, 2023 Neural Radiance Fields (NeRF) are a rapidly growing area of research with wide-ranging applications in computer vision, graphics, robotics, and more. In order to streamline the development and deployment of NeRF research, we propose a modular PyTorch ...
Matthew Tancik +12 more
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Decomposed Prompting: A Modular Approach for Solving Complex Tasks [PDF]
International Conference on Learning Representations, 2022 Few-shot prompting is a surprisingly powerful way to use Large Language Models (LLMs) to solve various tasks. However, this approach struggles as the task complexity increases or when the individual reasoning steps of the task themselves are hard to ...
Tushar Khot +6 more
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Minimal $W$-Superalgebras and the Modular Representations of Basic Lie Superalgebras [PDF]
Publications of the Research Institute for Mathematical Sciences, 2017 Let $\mathfrak{g}=\mathfrak{g}_{\bar 0}+\mathfrak{g}_{\bar 1}$ be a basic Lie superalgebra over $\mathbb{C}$, and $e$ a minimal nilpotent element in $\mathfrak{g}_{\bar 0}$.
Yang Zeng, B. Shu
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Poincaré series for modular graph forms at depth two. Part I. Seeds and Laplace systems
Journal of High Energy Physics, 2022 We derive new Poincaré-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one.
Daniele Dorigoni +2 more
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Modular representations of exceptional supergroups [PDF]
Mathematische Zeitschrift, 2018 We classify the simple modules of the exceptional algebraic supergroups over an algebraically closed field of prime characteristic.
Shun-Jen Cheng, B. Shu, Wei-Qiang Wang
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SHEAVES ON THE ALCOVES AND MODULAR REPRESENTATIONS II [PDF]
Transformation Groups, 2020 We relate the category of sheaves on alcoves that was constructed in "Sheaves on the alcoves and modular representations I" to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the simple rational characters of a reductive algebraic group in all characteristics above the ...
Fiebig, P, Lanini, M
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An insula hierarchical network architecture for active interoceptive inference
Royal Society Open Science, 2022 In the brain, the insular cortex receives a vast amount of interoceptive information, ascending through deep brain structures, from multiple visceral organs.
Alan S. R. Fermin +2 more
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