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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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On adjoint functors in representation theory
1981R. Bautista, L. Colavita, L. Salmerón
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On Non Self-Adjoint Representations of C*-Algebras
American Journal of Mathematics, 1981openaire +2 more sources