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Lattice defined on poset vs. Lattice defined on group?

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#lattice-orders #lattices-in-lie-groups
88
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When is the quotient of $\operatorname{GL}_n(\mathbb{R})$ by a discrete subgroup compact?

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#reference-request #lie-groups #homogeneous-spaces #general-linear-group #lattices-in-lie-groups
3.3k
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What is the Haar measures on $SL(2, \mathbb R)$ And $SL(2,\mathbb R) / SL(2,\mathbb Z)$?

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#matrices #analysis #measure-theory #reference-request #lattices-in-lie-groups
823
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Easy examples of non-arithmetic lattices

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#differential-geometry #lie-groups #lattices-in-lie-groups
143
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What does the topology on $SL(n, \mathbb{R}) / SL(n, \mathbb{Z})$ intuitively look like?

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#compactness #topological-groups #vector-lattices #lattices-in-lie-groups
156
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I am looking for an introduction to hyperbolic surfaces as a quotient of the upper half plane by lattices.

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#reference-request #hyperbolic-geometry #lattices-in-lie-groups
233
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Does a lattice in $SL_n(\mathbb R)$ which is contained in $SL_n(\mathbb Z)$ have finite index in $SL_n(\mathbb Z)$?

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#lie-groups #locally-compact-groups #lattices-in-lie-groups
86
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Examples of Lattices in $\operatorname{Isom}(H^n)$ for all $n \geq 2$?

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#hyperbolic-geometry #lattices-in-lie-groups
3.6k
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Relations between center (fundamental group) and (co)root and weight lattices for Lie groups

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#representation-theory #lie-groups #lie-algebras #fundamental-groups #lattices-in-lie-groups
59
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Classification of 6-D Nilmanifolds

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#lie-groups #lie-algebras #lattices-in-lie-groups
45
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Questions about definition of edges in affine building.

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#group-theory #lie-groups #lattices-in-lie-groups
168
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Why has $\mathrm{GL}(n, \mathbb{R})/\mathrm{GL}(n, \mathbb{Z})$ infinite co-volume?

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#lie-groups #lattices-in-lie-groups
304
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Weyl group and weight lattice chambers.

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#lie-algebras #integer-lattices #root-systems #coxeter-groups #lattices-in-lie-groups
773
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What is the dual lattice of Kagome lattice?

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#tiling #tessellations #lattices-in-lie-groups
210
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Do uniform lattices in simple lie groups contain free abelian subgroups?

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#group-theory #lie-groups #lattices-in-lie-groups

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