Speakers
Sunil K Prajapati (IIT Bhubaneswar)
Group Representation (GR): Group representations and characters, Maschke’s Theorem and Complete Reducibility, Orthogonality Relations - 02 lectures (90 minutes each)
Anupam Kumar Singh (IISER Pune)
Irreducibility Criteria (IC): Frobenius reciprocity theorem, conjugate representation, Mackey Irreducibility criteria, Wigner-Mackey Method of Little Group - 02 lectures (90 minutes each)
Shripad Garge (IIT Bombay)
Group Cohomology (GC): Cohomology Groups, Second cohomology group, and central extensions, The homomorphism restriction, inflation and transgression, Hochschild-Serre exact sequence - 06 lectures (90 minutes each)
Sumana Hatui (NISER Bhubaneswar)
Projective Representation (PR): Projective representation, twisted group algebra, representation groups (existence and characterization) - 04 lectures (90 minutes each)
Pradeep Rai (Mahindra University, Hyderabad)
Schur Multiplier (SM): Basic results, Schur Multiplier of abelian groups, Schur’s formula, covering groups, exponent and central quotient, some results on p-groups - 06 lectures (90 minutes each)
Amit Kulshrestha (IISER Mohali)
General linear group over F_q (GLG): Representations of GL_2(F_q) - 04 lectures (90 minutes each)
References
1. M. Isaacs, Character Theory of Finite Groups
2. C. W. Curtis, Pioneers of Representation Theory
3. J. Alperin and R. Bell, Groups and Representations
4. G. Karpilovsky, Projective Representations of Finite Groups
5. G. Karpilovsky, The Schur Multiplier
6. J. P. Serre, Linear Representations of Finite Groups
7. W. Fulton and J. Harris, Representation Theory
8. D. J. Benson, Representations and Cohomology, Volumes I and II
Tutor's Name with affiliation
1. Ram Karan Choudhary, IIT Bhubaneswar
2. Saikat Panja, ISI Bangalore
3. Vipul Kakkar, Central University of Rajasthan, Ajmer
4. Harish Kishnani, IISER Mohali