Advanced Instructional School on Representation Theory
CMI, 12 June -- 01 July, 2017
Organizers:
Amritanshu Prasad (IMSc),
K. N. Raghavan (IMSc),
K. V. Subrahmanyan (CMI)
Speakers:
Amritanshu Prasad (IMSc),
K. N. Raghavan (IMSc),
Sankaran Viswanath (IMSc)
Resource material (click on the appropriate links):
Lectures by AP: representations of the symmetric and alternating groups
Lectures by KNR:
Basics of the representation theory of finite groups:
- summary of lecture 1 (introduction to group actions and linear representations),
exercise set 1 html,
pdf,
- summary of lecture 2 (simple and semisimple modules),
exercise set 2 html,
pdf,
- summary of lecture 3 (structure of semisimple rings),
exercise set 3 html,
pdf,
- summary of lecture 4 (character theory),
lecture notes (for lectures 4 and 5) (character theory),
exercise set 4 html,
pdf,
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lecture 5 (primitive central idempotents):
exercise set 5 html,
pdf,
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exercise set 6 html,
pdf,
Lectures by KNR: Polynomial representations of the general linear group:
Lectures by SV: Symmetric functions
Problem set 3:
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pdf.
Problem set 4:
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pdf.
Problem set 5:
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pdf.
Problem set 6:
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pdf.
Problem set 7:
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pdf.
Problem set 8:
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pdf.
Problem set 9:
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pdf.
Problem set 10:
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pdf.
Problem set 11:
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pdf.