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Rational representations and Chevalley bases

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#representation-theory #algebraic-groups #linear-groups
111
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Modular functions and modular forms

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#number-theory #analytic-number-theory #algebraic-groups #modular-forms
36
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Representations of determinant-one subgroup of direct product

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#representation-theory #lie-groups #algebraic-groups
81
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How to prove that the product of two linearly reductive groups is also linearly reductive?

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#representation-theory #algebraic-groups
46
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Surjectivity of reductive group adjoint quotient on rational points

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#algebraic-geometry #algebraic-groups #reductive-groups
65
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Rational points of center vs center of rational points for algebraic groups

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#algebraic-geometry #algebraic-groups #reductive-groups
44
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Diagonalizability of rational representations of the $\mathbb{R}-$split tori.

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#algebraic-geometry #representation-theory #lie-groups #algebraic-groups
20
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Subrepresentations of a representation of a unipotent algebraic group

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#matrices #representation-theory #algebraic-groups
73
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Do finite subgroups of $G/H$ correspond to finite subgroups of $G$ containing $H$?

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#group-theory #algebraic-groups
40
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$R$ points of derived subgroup of algebraic group

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#group-theory #algebraic-geometry #algebraic-groups #flatness #derived-subgroup
78
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Is the automorphism group of an $R$-module always a group scheme?

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#algebraic-geometry #algebraic-groups #group-schemes
86
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Definitions for almost-simple algebraic group

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#algebraic-geometry #algebraic-groups
43
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Unipotent closure in classical groups

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#dynamical-systems #algebraic-groups #unipotent-matrices
169
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Translation by a point in group scheme

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#algebraic-geometry #algebraic-groups
76
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Isomorphism between $\mathbb{G}_m\times SL(n)$ and $GL(n)$

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#lie-groups #algebraic-groups #reductive-groups

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