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REPRESENTATION THEORY (M1, Alperin)
Lecture Topic : (Pure Math) REPRESENTATION THEORY (M1, Alperin)
Prerequisites : Finite Group Theory (Sen, M1); Abstract Algebra (Sen, M1);
Recommended Text(s) :
“Groups and Representations”, Graduate Texts in Mathematics (GTM) No. 162, J. L. Alperin & Rowen B. Bell, Princeton, 1995.
Approx price new on Amazon.com (hard copy) : $54
Approx price second hand on Amazon.com (hard copy) : $50
Availability free on eMule.com (e-format) : Yes
eMule search key word(s) : Alperin, Groups Representations
Lectures and Links :
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Lecture 0 (link)
Ch.0 Preface
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1. Rudiments of Group Theory
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Lecture 1 (link)
Ch.1 Review
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Lecture 2 (link)
Ch.2 Automorphisms
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Lecture 3 (link)
Ch.3 Group Actions
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2. The General Linear Group
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Lecture 4 (link)
Ch.4 Basic Structure
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Lecture 5 (link)
Ch.5 Parabolic Subgroups
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Lecture 6 (link)
Ch.6 The Special Linear Groups
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3. Local Structure
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Lecture 7 (link)
Ch.7 Sylow’s Theorem
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Lecture 8 (link)
Ch.8 Finite p-Groups
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Lecture 9 (link)
Ch.9 The Schur-Zassenhaus Theorem
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4. Normal Structure
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Lecture 10 (link)
Ch.10 Composition Series
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Lecture 11 (link)
Ch.11 Solvable Groups
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5. Semisimple Algebras
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Lecture 12 (link)
Ch.12 Modules and Representations
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Lecture 13 (link)
Ch.13 Wedderburn Theory
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6. Group Representations
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Lecture 14 (link)
Ch.14 Characters
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Lecture 15 (link)
Ch.15 The Character Table
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Lecture 16 (link)
Ch.16 Induction
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Lecture 17 (link)
Appendix : Algebraic Integers and Characters
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