.. _session_4B: Online Training Session 4, Part B ===================================== 1. :math:`SO(4,2)` --------------------- G=SO(4,2) Block of the tivial. Cuspidal Levi factors of G. .. raw:: html 2. :math:`SO(5,1)` ----------------------- G=SO(5,1) Only one conjugacy class of Cartan subgroups. .. raw:: html 3. :math:`Sp(4,\mathbb{R})` --------------------------------- G=Sp(4,R) Inducing from DS vs inducing from other irreducibles. .. raw:: html 4. :math:`SL(2,\mathbb{R})` ------------------------------- G=SL(2,R) Composition Series, Character formulas. KL_P and KL_Q polynomials and KL matrix. .. raw:: html 5. :math:`Sp(4,\mathbb{R})` ---------------------------------- G=Sp(4,R) KL matrix. KL polynomials and Jantzen filtration. .. raw:: html 6. :math:`SO(4,4)` ------------------------ G=SO(4,4) .. raw:: html 7. :math:`PSO(4,4)`, :math:`Spin(4,4)` ------------------------------------------- PSO(4,4), Spin(4,4). block_sizes matrix, Triality, Vogan duality. .. raw:: html 8. :math:`Sp(8,\mathbb{R})` --------------------------------- Sp(8,R) Block sizes matrix, real forms, dual group real forms, Vogan duality. .. raw:: html