Results 11 to 20 of about 1,481,386 (231)

A Category for the Adjoint Representation

open access: bronzeJournal of Algebra, 2001
We construct an abelian category C and exact functors in C which on the Grothendieck group descend to the action of a simply-laced quantum group in its adjoint representation. The braid group action in the adjoint representation lifts to an action in the derived category of C.
Ruth Stella Huerfano, Mikhail Khovanov
core   +6 more sources

On the adjoint representation of a hopf algebra [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2019
We 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.
S. Kolb   +3 more
semanticscholar   +6 more sources

A representation for an adjoint operator

open access: yesJournal of Numerical Analysis and Approximation Theory, 1975
Not available.
Stephen P. Travis
doaj   +3 more sources

A cocycle in the adjoint representation of the orthogonal free quantum groups [PDF]

open access: yesInternational Mathematics Research Notices, 2014
We show that the orthogonal free quantum groups are not inner amenable and we construct an explicit proper cocycle weakly contained in the regular representation.
Pierre Fima, Roland Vergnioux
semanticscholar   +7 more sources

Adjoints and low-rank covariance representation [PDF]

open access: goldNonlinear 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 ...
Michael K. Tippett, Stephen E. Cohn
openalex   +7 more sources

Co-Adjoint representation and controllability

open access: yesProyecciones (Antofagasta), 1992
Let Σ an invariant control system over Lie group G The existence of a nontrivial simplectic orbit of G is analysed, so that the Hamiltonian system equivalent to Σ via the co-adjoint representation, has a vector called simplectic.
V. Ayala, Luis B. Vergara
semanticscholar   +3 more sources

Rational actions associated to the adjoint representation [PDF]

open access: bronzeAnnales scientifiques de l'École normale supérieure, 1987
Eric M. Friedlander, Brian Parshall
openalex   +4 more sources

Three-dimensional lattice SU(Nc) gauge theories with multiflavor scalar fields in the adjoint representation [PDF]

open access: yesPhysical review B, 2021
We consider three-dimensional lattice SU(Nc) gauge theories with multiflavor (Nf > 1) scalar fields in the adjoint representation. We investigate their phase diagram, identify the different Higgs phases with their gauge-symmetry pattern, and determine ...
C. Bonati   +3 more
semanticscholar   +1 more source

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