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The canonical basis of the quantum adjoint representation [PDF]

open access: yesJournal of Combinatorial Algebra, 2016
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.
openaire   +6 more sources

On the adjoint representation of a hopf algebra [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2020
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
openaire   +4 more sources

Topology Optimization of Lattice Support Structure for Cantilever Beams Fabricated Via Laser Powder Bed Fusion

open access: yesAdvanced Engineering Materials, EarlyView., 2023
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
wiley   +1 more source

Representations are adjoint to endomorphisms [PDF]

open access: yesJournal of Homotopy and Related Structures, 2019
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
openaire   +4 more sources

An adjoint representation for polynomial algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1987
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
openaire   +1 more source

Topological optimization applied to a variable density and conductivity model of pollution in porous media

open access: yesEngineering Reports, Volume 5, Issue 1, January 2023., 2023
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
wiley   +1 more source

Adjoints and low-rank covariance representation [PDF]

open access: yesNonlinear Processes in Geophysics, 2001
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.
openaire   +7 more sources

SELF-ADJOINT REPRESENTATIONS OF BRAID GROUPS [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2012
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
openaire   +3 more sources

Sharp estimates for conditionally centered moments and for compact operators on Lp$L^p$ spaces

open access: yesMathematische Nachrichten, Volume 296, Issue 1, Page 368-381, January 2023., 2023
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
wiley   +1 more source

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