Course

M558 - Representations of Linear Lie Groups

Course No: 
M558
Credit: 
4
Prerequisites: 
M205
Approval: 
2014
UG-Elective
Syllabus: 
Introduction to topological group, Haar measure on locally compact group, Representation theory of compact groups, Peter Weyl theorem, Linear Lie groups, Exponential map, Lie algebra, Invariant Differentail operators, Representation of the group and its Lie algebra. Fourier analysis on SU (2) and SU (3). Representation theory of Heisenberg group . Representation of Euclidean motion group.
Reference Books: 
  1. J. E. Humphreys, “Introduction to Lie algebras and representation theory”, Springer-Verlag, 1978.
  2. S. C. Bagchi, S. Madan, A. Sitaram, U. B. Tiwari, “A first course on representation theory and linear Lie groups”, University Press, 2000.
  3. Mitsou Sugiura, “Unitary Representations and Harmonic Analysis”, John Wiley & Sons, 1975.
  4. Sundaram Thangavelu, “Harmonic Analysis on the Heisenberg Group”, Birkhauser, 1998.
  5. Sundaram Thangavelu, “An Introduction to the Uncertainty Principle”, Birkhauser, 2003. 

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School of Mathematical Sciences

NISERPO- Bhimpur-PadanpurVia- Jatni, District- Khurda, Odisha, India, PIN- 752050

Tel: +91-674-249-4081

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