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Cubic Forms on Adjoint Representations of Exceptional Groups
Journal of Mathematical Sciences, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atamanova, M. M., Luzgarev, A. Yu.
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Unitary Representations and Regularity for Self-adjoint Operators
1996In this chapter we specialize some of the considerations of Chap. 5 to the case of unitary C 0-groups in a Hilbert space ℋ. The theory of unitary representations W(x) = e iA·x of ℝ n is a very well understood classical subject and will not be presented here.
Werner O. Amrein +2 more
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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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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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Adjoint Representations of Symmetric Groups
2021Mahir Bilen Can, Miles Jones
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Modular Class of Lie ∞ -Algebroids and Adjoint Representations
Journal of Geometric Mechanics, 2022Raquel Susana Giraldes Caseiro
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A Rankin-Selberg Integral for the Adjoint Representation of GL3
Inventiones Mathematicae, 1991David Ginzburg
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Extremal Bases for the Adjoint Representations of the Simple Lie Algebras
Communications in Algebra, 2006Rob Donnelly
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