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Please find below the notes and homewok of the course.
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Notes (main source: notes from a course by Markus Linckelmann given in 2004 in Ohio State University):
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Section 1
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Group Algebras
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[pdf]
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Section 2
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Representations and Modules
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[pdf]
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Section 3
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Semi-Simplicity
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[pdf]
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Section 4
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Jacobson Radical
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[pdf]
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Section 5
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Wedderburn's Theorem
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[pdf]
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Section 6
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Induction and Restriction
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[pdf]
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Section 7
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G-Algebras and Relative Projectivity
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[pdf]
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Section 8
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Duality
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[pdf]
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Section 9
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Characters of Finite Groups
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[pdf]
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Section 10
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The First Orthogonality Relations
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[pdf]
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Section 11
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The Second Orthogonality Relations
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[pdf]
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Section 12
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Character Tables
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[pdf]
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Section 13
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Integrality and Burnside's Theorem
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[pdf]
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Section 14
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Discrete Valuation Rings
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[pdf]
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Section 15
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Local Algebras over Local Rings
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[pdf]
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Section 16
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Projective Covers and Injective Enveloppes
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[pdf]
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Section 17
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Lifting Idempotents
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[pdf]
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Section 18
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Symmetry
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[pdf]
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Exercises
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Exercise 1
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[pdf]
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Exercise 2
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[pdf]
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Exercise 3
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[pdf]
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Exercise 4
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[pdf]
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