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Michael Joyce
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Michel Brion's Lectures on the Geometry of Flag VarietiesLectures on the Geometry of Flag Varieties answers all of your questions in the special case $G = SL_n$ and $P = B$ (the Borel subgroup of upper triangular matrices). See Section 1.4. If you are not so familiar with this particular field, you may find the entire first section quite helpful.

Michel Brion's Lectures on the Geometry of Flag Varieties answers all of your questions in the special case $G = SL_n$ and $P = B$ (the Borel subgroup of upper triangular matrices). See Section 1.4. If you are not so familiar with this particular field, you may find the entire first section quite helpful.

Michel Brion's Lectures on the Geometry of Flag Varieties answers all of your questions in the special case $G = SL_n$ and $P = B$ (the Borel subgroup of upper triangular matrices). See Section 1.4. If you are not so familiar with this particular field, you may find the entire first section quite helpful.

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Michael Joyce
  • 1.8k
  • 1
  • 12
  • 18

Michel Brion's Lectures on the Geometry of Flag Varieties answers all of your questions in the special case $G = SL_n$ and $P = B$ (the Borel subgroup of upper triangular matrices). See Section 1.4. If you are not so familiar with this particular field, you may find the entire first section quite helpful.