Set up the Gamma matrices of the Clifford algebra for SO(8) and SO(9) explicitly. Deduce the index structure, constraint

Business, Finance, Economics, Accounting, Operations Management, Computer Science, Electrical Engineering, Mechanical Engineering, Civil Engineering, Chemical Engineering, Algebra, Precalculus, Statistics and Probabilty, Advanced Math, Physics, Chemistry, Biology, Nursing, Psychology, Certifications, Tests, Prep, and more.
Post Reply
answerhappygod
Site Admin
Posts: 899604
Joined: Mon Aug 02, 2021 8:13 am

Set up the Gamma matrices of the Clifford algebra for SO(8) and SO(9) explicitly. Deduce the index structure, constraint

Post by answerhappygod »

Set Up The Gamma Matrices Of The Clifford Algebra For So 8 And So 9 Explicitly Deduce The Index Structure Constraint 1
Set Up The Gamma Matrices Of The Clifford Algebra For So 8 And So 9 Explicitly Deduce The Index Structure Constraint 1 (48.58 KiB) Viewed 19 times
Set up the Gamma matrices of the Clifford algebra for SO(8) and SO(9) explicitly. Deduce the index structure, constraints and dimensions of the adjoint, Spinor-Vector and three index totally antisymmetric irreducible representations of SO(8) and SO(9). Deduce the quadratic indices (S2(R)) of these irreps of SO(8) and decompose them w.r.t the maximal subgroup SO(7) < SO(8). Show that the dimensions and quadratic indices match. Explain your procedure at each stage.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!
Top
Post Reply

Return to “Archived Questions & Answers”