Results 11 to 20 of about 2,972 (226)
SELF-ADJOINT REPRESENTATIONS OF BRAID GROUPS [PDF]
Journal 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.
Egea, Claudia Maria, Galina, Esther
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Models of Self-Adjoint and Unitary Operators in Pontryagin Spaces
Современная математика: Фундаментальные направления, 2022 This paper represents a revised version of the lectures, delivered by the author at KROMSH-2019. These lectures are devoted to describing a few different ways of constructing a model representation for self-adjoint and unitary operators acting in ...
V. A. Strauss
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Representations are adjoint to endomorphisms [PDF]
Journal 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 ...
Drummond-Cole, Gabriel C. +2 more
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Universal Racah matrices and adjoint knot polynomials: Arborescent knots
Physics Letters B, 2016 By now it is well established that the quantum dimensions of descendants of the adjoint representation can be described in a universal form, independent of a particular family of simple Lie algebras.
A. Mironov, A. Morozov
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A Category for the Adjoint Representation
Journal 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.
Huerfano, Ruth Stella, Khovanov, Mikhail
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Correction to: Representations are adjoint to endomorphisms [PDF]
Journal of Homotopy and Related Structures, 2020 The first equation under section “Remark 3” was processed and published incorrectly. The correct equation should read as follows:
Gabriel C. Drummond-Cole +2 more
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Adjoint modular Galois representations and their Selmer groups [PDF]
Proceedings of the National Academy of Sciences, 1997 In the last 15 years, many class number formulas and main conjectures have been proven. Here, we discuss such formulas on the Selmer groups of the three-dimensional adjoint representation ad(φ) of a two-dimensional modular Galois representation φ.
Hida, Haruzo +2 more
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Approximate symmetries of the perturbed KdV-KS equation [PDF]
Iranian Journal of Numerical Analysis and OptimizationThe analysis of approximate symmetries in perturbed nonlinear partial differential equations $(PDEs)$ stands as a cornerstone for unraveling complex physical behaviors and solution patterns.
A. Mohammadpouri +3 more
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Analysis of the vacuum solution of the five-dimensional Einstein field equations with negative cosmological constant via variational symmetries [PDF]
AUT Journal of Mathematics and ComputingThe Kaluza-Klein theory can be reckoned as a classical unified field theory of two of the significant forces of nature gravitation and electromagnetism.
Fatemeh Ahangari
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Journal of High Energy Physics, 2018 We construct a 6D nonabelian N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ theory by coupling an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ tensor multiplet to an N=1,0 $$ \mathcal{N}=\left(1,\ 0\right) $$ hypermultiplet.
Fa-Min Chen
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