Results 1 to 10 of about 184,866 (190)
The canonical basis of the quantum adjoint representation [PDF]
We identify the canonical basis of the quantum adjoint representation of a quantized enveloping algebra with a basis that we defined before the theory of canonical bases was available.
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The Adjoint Representation of a Higher Lie Groupoid [PDF]
48 pages, 8 ...
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On the adjoint representation of a hopf algebra [PDF]
AbstractWe consider the adjoint representation of a Hopf algebra $H$ focusing on the locally finite part, $H_{{\textrm ad\,fin}}$, defined as the sum of all finite-dimensional subrepresentations. For virtually cocommutative $H$ (i.e., $H$ is finitely generated as module over a cocommutative Hopf subalgebra), we show that $H_{{\textrm ad\,fin}}$ is a ...
Stefan Kolb+3 more
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A numerical scheme is presented to design a lattice support for metallic components additively built via laser powder bed fusion. Results show that thermal‐induced distortion can be respectively reduced by 69%, 58%, and 50% in comparison to a uniform lattice, a fully solid support, and a truss‐based lattice support.
Jiazheng Hu+2 more
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Representations are adjoint to endomorphisms [PDF]
The functor that takes a ring to its category of modules has an adjoint if one remembers the forgetful functor to abelian groups: the endomorphism ring of linear natural transformations. This uses the self-enrichment of the category of abelian groups. If one considers enrichments into symmetric sequences or even bisymmetric sequences, one can produce ...
Joseph Hirsh+2 more
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An adjoint representation for polynomial algebras [PDF]
This paper shows that a graded polynomial algebra over F 2 {F_2} with Steenrod algebra action possesses an analog of the adjoint representation for the cohomology of the classifying space of a compact connected Lie group.
Robert E. Stong, Stephen A. Mitchell
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This article deals with modeling and numerical study of pollutants transfer in porous media by topological optimization. Indeed we perform the modeling of pollution in porous media in non‐permanent cases by assuming the variability or not of some parameters such as the conductivity and the density.
Mouhamadou Baidy Dia+2 more
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Adjoints and low-rank covariance representation [PDF]
Abstract. Quantitative measures of the uncertainty of Earth system estimates can be as important as the estimates themselves. Direct calculation of second moments of estimation errors, as described by the covariance matrix, is impractical when the number of degrees of freedom of the system state is large and the sources of uncertainty are not ...
Tippett, M. K., Cohn, S. E.
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SELF-ADJOINT REPRESENTATIONS OF BRAID GROUPS [PDF]
We give a method to construct new self-adjoint representations of 𝔹n of finite dimension. In particular, we give a family of irreducible self-adjoint representations of dimension arbitrarily large. Moreover we give sufficient condition for a representation to be constructed with this method.
Esther Galina, Claudia Maria Egea
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Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces
Abstract Let (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$ be a probability space, ξ be a random variable on (Ω,F,P)$(\Omega , \mathcal {F}, \mathbf {P})$, G$\mathcal {G}$ be a sub‐σ‐algebra of F$\mathcal {F}$, and let EG=E(·|G)$\mathbf {E}^\mathcal {G} = \mathbf { E}(\cdot | \mathcal {G})$ be the corresponding conditional expectation operator.
Eugene Shargorodsky, Teo Sharia
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