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Course Archives Theoretical Statistics and Mathematics Unit |
Course: Representation theory of finite groups
Instructor: Anita Naolekar
Room: G23
Level: Undergraduate
Time: Currently offered
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Syllabus
Past Exams
Syllabus:
Introduction to multilinear algebra: Review of linear algebra, multilinear forms, tensor products, wedge product, Grassmann ring, symmetric product. Definition and examples of representations,;
Group algebra and Maschkes Theorem, Schurs lemma, Characters and Schurs Orthogonality relations;
Burnsides pq theorem, Permutation
representations; Induced representations; Frobenius reciprocity law, Representation
theory of symmetric groups, Random walks on groups.
Reference Texts:
(a) A. Prasad: Representation Theory: A Combinatorial Viewpoint.
(b) Benjamin Steinberg: Representation Theory of Finite Groups:An Introductory Approach.
(c) W. Fulton and J. Harris: Representation Theory, Part I.
(d) J-P Serre: Linear representations of finite groups.
Evaluation:
| Mid-term | 30 marks |
Assignment | 20 marks |
Final Exam | 50 marks |
Total | 100 marks |
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Past Exams
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[ Semester Schedule ][ Statmath Unit ]
[Indian Statistical Institute] |