On the product of homogeneous spaces
β Scribed by W.W. Comfort; Jan Van Mill
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 799 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We compute the signature of real and quaternionic Grassmannians, thereby completing the table of signatures of symmetric spaces given in a previous paper [4]. In addition, all homogeneous spaces of exceptional Lie groups with non-zero signature are listed.
Let G be a semisimple and simply connected algebraic group over an algebraically closed field k of characteristic p ) 0. Once a Borel subgroup B : G is fixed, a proper homogeneous G-space X can be identified with GrH, where H = B denotes the stabilizer group scheme of a B-fixed point in X. Let H, K,