Online Training Session 4, Part B¶
1. \(SO(4,2)\)¶
G=SO(4,2) Block of the tivial. Cuspidal Levi factors of G.
2. \(SO(5,1)\)¶
G=SO(5,1) Only one conjugacy class of Cartan subgroups.
3. \(Sp(4,\mathbb{R})\)¶
G=Sp(4,R) Inducing from DS vs inducing from other irreducibles.
4. \(SL(2,\mathbb{R})\)¶
G=SL(2,R) Composition Series, Character formulas. KL_P and KL_Q polynomials and KL matrix.
5. \(Sp(4,\mathbb{R})\)¶
G=Sp(4,R) KL matrix. KL polynomials and Jantzen filtration.
6. \(SO(4,4)\)¶
G=SO(4,4)
7. \(PSO(4,4)\), \(Spin(4,4)\)¶
PSO(4,4), Spin(4,4). block_sizes matrix, Triality, Vogan duality.
8. \(Sp(8,\mathbb{R})\)¶
Sp(8,R) Block sizes matrix, real forms, dual group real forms, Vogan duality.