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along with other, smaller non-heterosexual student groups, as the Association of GLBT Student Organizations and Their Friends (International Communities of Color, Progressive Student Organization G/L/B Caucus, Delta Lambda Phi Fraternity
. here, \(\delta \) is a generator for the group of diagonal automorphisms, \(\phi \) is a generator of the group of field automorphisms, \(\gamma \) is a non-trivial graph automorphism, and \(e=\gcd (3,q-1)\) . the subgroups \(\mathrm {psl}_{2}(13)\) and \(\mathrm...
We define the discrete degree of symmetry disc-sym(X) of a closed n-manifold X as the biggest $$m\ge 0$$ such that X supports an effective action of $$(\ma
Then we are able to show that \(\varLambda \) is close to the centre of \({\mathbb {G}}\left( {\mathbb {R}}\right) \). The crux of the proof relies on the following fact that is specific to algebraic group homomorphisms: if \(\phi \) is an algebraic group homomorphism and...
\(K^\times \rtimes {{\,\mathrm{Aut}\,}}_V^=(\mathfrak g) \cong {{\,\mathrm{Aut}\,}}_V^{\mathrm {f}}(\mathfrak g) \le \{{{\,\mathrm{diag}\,}}(\lambda A, A, A_T) \mid \lambda \in K^\times , A,A_T\in {{\,\mathrm{GL}\,}}_d(K)\}\). (3) \(\...
\textrm{e}^{-\lambda x} (\cosh x - \cosh r)^{-1/2} \,\textrm{d}x. \end{aligned}$$ (2.8) proposition 2.2 the distribution \(k_{\mathcal {l}^{-1/2}}\) coincides with a smooth function away from the origin, and \(m^{-1/2} k_{\mathcal {l}^{-1/2}}\) is ...
Integrating the expansion (2.2) against \(\lambda ^z\) or against \(e^{-z\lambda }\) on well chosen z-contours yields the following expansions for operators A of any order, see also [29, Section 1]:Theorem 2.3Let \(\mathcal {L}\in \Psi _{cl}\) be as in Theorem 2.2.For...
{M}\otimes \mathcal {M}^{\mathrm{op}}, pick\eta \in L^2(\mathcal {M}) \otimes L^2(\mathcal {M})such that\langle x \xi y, \xi \rangle = \langle x \eta y, \eta \rangle. As vectors\xiof this form are dense in\mathcal {H}_{\Phi }the lemma follows by ...
for some homogeneous d which is called the \({\mathcal {L}}\)-gauge. Thus, the \({\mathcal {L}}\)-gauge is a symmetric homogeneous (quasi-) norm on the stratified group \(\mathbb {G}= ({\mathbb {R}}^n,\circ ,\delta _{\lambda })\), that is, ...