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Is the Lie-subalgebra generated by the root-spaces of a semisimple Lie-algebra semisimple?

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#lie-algebras #root-systems #semisimple-lie-algebras #reductive-groups
26
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Cartan subalgebras of reductive subalgebras

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#lie-algebras #semisimple-lie-algebras #reductive-groups
32
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Fibre bundle over Borel subgroup with fibre the complete flag

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#algebraic-groups #fiber-bundles #reductive-groups
28
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Examples of reductive group $G$ and primes $p$ where $G$ ramifies at $p$

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#algebraic-groups #ramification #reductive-groups
553
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Lie algebras of reductive groups

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#reference-request #lie-algebras #algebraic-groups #reductive-groups
2k
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Reduce Hamiltonian Path to CNF SAT

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#graph-theory #np-complete #hamiltonian-path #satisfiability #reductive-groups
563
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Commutator ideal of reductive Lie algebra

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#proof-verification #lie-algebras #reductive-groups
569
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Is the center of a quasi-split reductive group diagonalizable?

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#reductive-groups
464
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Definition of parahoric subgroup

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#number-theory #representation-theory #reductive-groups
127
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Making the definition of dual root unambiguous

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#representation-theory #lie-groups #algebraic-groups #reductive-groups
952
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Modular function of the unipotent radical of a parabolic subgroup of a reductive group

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#representation-theory #lie-groups #reductive-groups
308
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Confusion about the quotient $G/B$

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#algebraic-geometry #algebraic-groups #reductive-groups
1k
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A mapping reduction to show that L is unrecognizable and so it's complement

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#computer-science #computational-complexity #formal-languages #turing-machines #reductive-groups
201
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Action of Frobenius maps on root systems

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#abstract-algebra #group-theory #algebraic-groups #reductive-groups
135
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Question on the Definition of L-Group

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#algebraic-groups #reductive-groups

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