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Relating height to length in a root system

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#representation-theory #algebraic-groups #root-systems #coxeter-groups #reductive-groups
192
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Definition of the unitary group via a cocycle on $\operatorname{GL}_n$

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#algebraic-geometry #algebraic-groups #reductive-groups
95
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Does a one-parameter subgroup of a reductive group 'act reductively'?

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#lie-groups #complex-geometry #quotient-spaces #reductive-groups #geometric-invariant-theory
5.6k
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What is reductive group intuitively?

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#abstract-algebra #algebraic-geometry #lie-groups #reductive-groups
182
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Describing an action on the Weyl group $W(T)=N_G(T)/T$ for different maximal tori $T$

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#algebraic-geometry #solution-verification #algebraic-groups #reductive-groups #weyl-group
218
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Parabolic subalgebra conjugate under Weyl group

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#lie-groups #lie-algebras #reductive-groups
39
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My professor is asking us to find the semigroup reduct of the dihedral group D3, what is that?

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#semigroups #dihedral-groups #reductive-groups
202
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Are the Deligne-Lusztig varieties for $\mathrm{GL}$ and $\mathrm{SL}$ the same?

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#abstract-algebra #algebraic-geometry #finite-fields #algebraic-groups #reductive-groups
69
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Reductive quotient of parahoric subgroups of a simply connected simple group.

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#reductive-groups
78
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What is the canonical isogeny?

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#group-theory #algebraic-geometry #algebraic-groups #free-abelian-group #reductive-groups
235
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Bernstein center

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#representation-theory #local-field #reductive-groups
108
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Conjugating a root subgroup by a Weyl group element

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#algebraic-groups #reductive-groups #weyl-group
1k
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How parabolic subgroups are determined by roots?

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#lie-groups #lie-algebras #reductive-groups
267
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Levi subgroups and subsystems of root systems

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#algebraic-groups #root-systems #reductive-groups
39
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Finiteness of the volume $G(k) \backslash G(\mathbb A)^1$ from that of $G(k) Z(\mathbb A) \backslash G(\mathbb A)$

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#algebraic-groups #reductive-groups #adeles

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