Results 81 to 90 of about 277 (96)
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Self-Adjoint Representations of Commutative *-Algebras
1990The results obtained in Section 8.4 have shown that a part of the representation theory of C*-algebras can be generalized to unbounded *-representations if, roughly speaking, the self-adjointness of certain *-representations is assumed. Thus seld-adjoint representations are basic objects in the theory of *-representations of general *-algebras. In this
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The adjoint representation of left distributive structures
Communications in Algebra, 1992We discuss some algebraic properties of the monoid generated by (left) translations in left distributive structures.This furnishes methods for enriching the original structure with a compatible associative product.
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Adjoint Shape Optimisation Using Model Boundary Representation
2018Manipulating CAD geometry using primitive components rather than the originating software is typically a challenging prospect. The parameterization used to define the geometry of a model is often integral to the efficiency of the design. However, it is not always possible to access these parameters due to the closed-source, non-standardized nature of ...
Marios Damigos, Eugene de Villiers
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Adjoint Representations of Symmetric Groups
2021Mahir Bilen Can, Miles Jones
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The Adjoint Representation of a Lie Group
1993Every group G acts on itself by inner automorphisms: the map associated with an element g is h ↦ ghg −1. If G is a Lie group, the differential of each inner automorphism determines a linear transformation on the tangent space to G at the identity element, because the identity is fixed by any inner automorphism.
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Representations of Non-Self-Adjoint Crossed Products
Proceedings of the London Mathematical Society, 1983McAsey, Michael J., Muhly, Paul S.
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Representations associated to minimal co-adjoint orrits
1978The minimal dimensional co-adjoint orbits are determined for the real and complex classical Lie groups, and the representations associated to them by methods of geometric quantization are discussed. Some new computational methods are developed for the classical Lie algebras.
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The “Adjoint” Equation and Representation of Solutions
1971In this section, we restrict our attention to the linear system $${\rm{\dot x}}\left( {\rm{t}} \right) = {\rm{L}}\left( {{\rm{t}},{\rm{x}}_{\rm{t}} } \right)$$ (17.1) where L(t,ϕ) is continuous in t,ϕ, linear in ϕ and is given explicitly by $${\rm{L}}\left( {{\rm{t}},{\rm{\phi }}} \right) = \sum\limits_{{\rm{k}} = 1}^\infty {{\rm{A}}_{\rm{
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