Clifford algebra and multidimensional function theory

Course Code :2002WETCAD
Study domain:Mathematics
Academic year:2017-2018
Semester:2nd semester
Contact hours:60
Study load (hours):168
Contract restrictions: No contract restriction
Language of instruction:Dutch
Exam period:exam in the 2nd semester
Lecturer(s)David Eelbode

3. Course contents *


The following notions will be treated during the classes:
* Clifford algebras (and their classification)
* spinor representations for the orthogonal Lie algebra
* the spin group and its link with the orthogonal Lie group
* the Dirac operator in Clifford analysis
* (simplicial) monogenic functions and their relation to harmonic functions
* Howe dualities for harmonic and monogenic functions

Further topics will be determined based on the interest of the sudents.