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Quotient of a Lie algebra by a subalgebra - what is it?

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#algebraic-geometry #representation-theory #lie-algebras #algebraic-groups #homogeneous-spaces
63
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Does the Plücker embedding topology agree with the quotient topology?

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#algebraic-geometry #quotient-spaces #algebraic-groups
331
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How to explain this contradiction about Weyl group of $SL_n(K)$?

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#abstract-algebra #group-theory #lie-algebras #algebraic-groups
215
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Variety structure on the set of Borel subgroups is noncanonical?

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#algebraic-geometry #algebraic-groups
419
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How do I use the fact that $\langle \gamma, \lambda \rangle > 0$?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups #root-systems
145
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A question about unipotent characters

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#group-theory #representation-theory #lie-groups #algebraic-groups #characters
51
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Why are the $\alpha_i$ trivial on $T \cap R(G)$?

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#lie-groups #lie-algebras #algebraic-groups #root-systems
1k
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Most general definition of Borel and parabolic Lie algebras?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
1.3k
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Definition of Affine Grassmannian

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#algebraic-geometry #representation-theory #sheaf-theory #vector-bundles #algebraic-groups
207
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Results about bases/Weyl chambers in root systems

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#reference-request #lie-groups #lie-algebras #algebraic-groups #root-systems
428
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Question on the definition of a dynkin diagram

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#lie-groups #lie-algebras #algebraic-groups #root-systems
61
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What is the tangent space of the double coset $BnB$ at $n$?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
46
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Relationship between roots of $G, G/R(G),$ and $[G,G]$

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#lie-groups #lie-algebras #algebraic-groups #root-systems
154
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If maximal tori are self centralizing in $R(G)$, why do Levi subgroups exist?

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
22
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Why is $\Phi(Z_G(T_I),T) = [I]$?

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#algebraic-geometry #lie-algebras #algebraic-groups

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