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What is weight lattice modulo coroot lattice?

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#lie-algebras #root-systems #quantum-groups #lattices-in-lie-groups
108
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Discrete subgroup of a Lie group is generated on $\mathbb{Z}$ by vectors in the Lie algebra

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#linear-algebra #vector-spaces #lie-groups #lie-algebras #lattices-in-lie-groups
112
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The lattice generated by $\{w(\rho) - \rho\,\vert\,w\in W\}$

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#lie-algebras #root-systems #lattices-in-lie-groups
81
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Fuchsian groups in $\text{SL}(2,\mathbb{R})$ and commensurability in $\text{GL}(2,\mathbb{R})$

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#hyperbolic-geometry #covering-spaces #mobius-transformation #lattices-in-lie-groups
97
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Are commensurable subgroups contained in a finite overgroup?

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#group-theory #lattices-in-lie-groups
64
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Transcendence in $\mathbb{R}^2$

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#number-theory #algebraic-number-theory #algebraic-groups #change-of-basis #lattices-in-lie-groups
363
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Is $\operatorname{SL}(n,\mathbb{R})/\operatorname{SL}(n, \mathbb{Z})$ a Hausdorff space?

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #lattices-in-lie-groups
145
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Example of non-cocompact lattice in a specific topological group

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#group-theory #differential-geometry #lie-groups #topological-groups #lattices-in-lie-groups
692
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Intuition behind the definition of an irreducible lattice

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#lie-groups #algebraic-groups #lattices-in-lie-groups
202
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Lattices are not solvable in non-compact semisimple Lie groups

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#group-theory #differential-geometry #lie-groups #lattices-in-lie-groups
236
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Irreducible lattices in $G=G_1\times G_2$

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#group-theory #geometric-group-theory #lattices-in-lie-groups
37
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Does $N_{\textit{SL}_2(\mathbb{C})}(\Gamma)/\Gamma$ have an infinite number of components.

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#lie-groups #complex-geometry #lattices-in-lie-groups
62
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Dense projections of lattices in $G\times\textrm{Aut}(T)$

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#group-theory #geometric-group-theory #lattices-in-lie-groups
220
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Presentations of discrete subgroups of $\textrm{PGL}_2(\mathbb{R})$

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#group-theory #geometric-group-theory #low-dimensional-topology #lattices-in-lie-groups
156
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Is $SL_2(\mathbb{Z}[\sqrt{d}])$ a lattice in $SL_2(\mathbb{R}) \times SL_2(\mathbb{R})$ for all d?

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#algebraic-number-theory #lattices-in-lie-groups

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