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Jim Humphreys's user avatar
Jim Humphreys's user avatar
Jim Humphreys's user avatar
Jim Humphreys
  • Member for 14 years, 10 months
  • Last seen more than 4 years ago
3 votes

Quotient of a reductive group by a non-smooth subgroup

3 votes

What's a good example/reference for cohomology classes on Springer fibers that aren't restricted from the flag variety

3 votes
Accepted

Truncated induction for exceptional cases

3 votes

The number of conjugacy classes of the simple group PSL(2,q)

3 votes
Accepted

irreducible Classical Lie algebras

3 votes

Computation of restricted Lie algebra (co)homology

3 votes
Accepted

Branching rule for classical Lie algebras in positive characteristic

3 votes
Accepted

Character table of $\mathrm{SL}_2(\mathbb{Z}/p^n\mathbb{Z})$

3 votes

Maximal abelian subgroup of general linear groups

3 votes
Accepted

Is an $\mathfrak{sl}_2$-triple determined up to Lie algebra automorphism by the adjoint representation?

3 votes

Is this characterization of (-1)-eigenspaces of the Weyl group of $E_6$ known?

3 votes

What's the most simple proof of Kostant's version of Borel-Weil-Bott for Lie Algebra cohomology?

3 votes

Frequency of a representation of SO(3)

3 votes

Smallest non-trivial conjugacy classes in simple groups and classes of involutions

3 votes
Accepted

What can representations of affine Weyl groups do?

3 votes

Reference for an algebraic group preserving a cubic form

3 votes
Accepted

Integral representations of groups of small order

3 votes

The cohomology group $H^{1}(GL_{2}(\mathbb{F}_{p}), M_{2}(\mathbb{F}_{p}))$

3 votes

Weight multiplicity formulae for $(\mathfrak g,B)$-irreps

3 votes

Homomorphisms of Lie groups preserving regularity

3 votes

Is there an almost-direct product decomposition for disconnected reductive algebraic groups?

3 votes
Accepted

Connectedness of Springer Fibers

3 votes
Accepted

Stabilizers for nilpotent adjoint orbits of semisimple groups

3 votes

Classification of Tori of GL2, up to conjugation

3 votes

Around the socle filtration of a Verma module

3 votes

For $\mathfrak g$ A Lie algebra of type $ E_7 $, $\mathfrak h $ a Cartan subalgebra and $\Delta$ the resulting root system, does $ Aut(\mathfrak g,\mathfrak h)\rightarrow Aut(\Delta) $ split over the Weyl group?

3 votes
Accepted

length function of a coxeter group with respect to two different simple systems are equal or not?

3 votes
Accepted

Kostant's theorem on invariant polynomials in positive characteristic

3 votes

is the subgroup generated by one-parameter unipotent subgroups a Lie subgroup?

3 votes
Accepted

Restricted Lie algebras of low dimension

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