Peter Crooks's user avatar
Peter Crooks's user avatar
Peter Crooks's user avatar
Peter Crooks
  • Member for 11 years, 8 months
  • Last seen more than 5 years ago
14 votes
Accepted

Cohomology ring of a flag variety and representation theory

14 votes
Accepted

Introductory References for Geometric Representation Theory

10 votes
Accepted

Polynomial without roots in a ring

10 votes
Accepted

Is there a toplogically trivial line bundle over a compact Riemann surfaces that isn't holomorphically trivial?

9 votes

Equivariant normalization?

8 votes

How does one calculate homotopy classes for group coset spaces?

7 votes
Accepted

Is $G/T$ a projective variety?

7 votes
Accepted

Computing the fundamental group of a flag variety

5 votes
Accepted

computing second cohomology $H^2(O_a,\mathbb{Z})\cong \mathbb{Z}^n$ of a generic coadjoint orbit

5 votes

$GL_k$-equivariant cohomology of $k\times n$ matrices

5 votes

If $M$ has hyper-kaehler structure then $M//G$ has hyper-kaehler structure?

4 votes

Unipotent conjugacy classes

4 votes
Accepted

Representations of parabolic subgroups of the general linear group over the complex numbers

4 votes
Accepted

Local structure of the quotient of a Lie group action

4 votes

An algorithm to compare two representations of a simple Lie algebra?

4 votes
Accepted

Computing the Grothendieck-Springer resolution for $G = SL_2$

4 votes
Accepted

Quotient of an algebraic group by a closed algebraic subgroup

3 votes

Canonical n plane bundle over Lagrangian Grassmanian

3 votes

Whitney stratification and affine grassmanian

3 votes
Accepted

Cross section for closed Lie subgroup in a Lie group

3 votes

equivariant Thom form and non-equivariant Thom form

3 votes

equivariant whitney product formula

3 votes
Accepted

Relations between affine Grassmannian and Grassmannian

3 votes

A cohomology group which depends on the connection

3 votes
Accepted

Example of torsion in orientable manifolds?

3 votes

SU(2) and differential forms

3 votes

What are cohomology of Lie algebra with coefficients geometrically?

3 votes

Equivalence of Lie subalgebras, within a (irreducible) representation

2 votes

Symplectic quotient of projective variety is projective?

2 votes

Dimension of Commutator Space