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### XI: Frobenius's Characteristic Function Explained

Frobenius's characteristic function is an isomorphism from the space of class functions on S_n to t… Amritanshu Prasad Nov 27, 2013 89 views

### X: The hook-length formula

I explain how to derive the hook-length formula from the Frobenius character formula. Amritanshu Prasad Nov 27, 2013 91 views

### IX: Irreducible Polynomial Representations of GL(m)

Scanned notes are at: http://www.imsc.res.in/~amri/rt11/characteristic.pdf In this lecture it is sh… Amritanshu Prasad Nov 27, 2013 64 views

### VIII: Schur Algebras and Polynomial Representations of GL(m)

Topics covered include: 1. Definition of Schur algebra 2. Equivalence between polynomial representa… Amritanshu Prasad Nov 27, 2013 32 views

### Geometric definition of determinants

A lecture for college teachers where I define the determinant geometrically and show that it matche… Tags: determinant Amritanshu Prasad Nov 27, 2013 36 views

### VII. Schur Functions

The seventh lecture of an advanced undergraduate/beginning graduate level course on representation… Amritanshu Prasad Dec 1, 2011 112 views

### VI. Symmetric Functions

The sixth lecture of an advanced undergraduate/beginning graduate level course on representation th… Amritanshu Prasad Dec 1, 2011 106 views

### V. Character Twist

The fifth lecture of an advanced undergraduate/beginning graduate level course on representation th… Amritanshu Prasad Dec 1, 2011 64 views

### IV. Combinatorial Resolution

The fourth lecture of an advanced undergraduate/beginning graduate level course on representation t… Amritanshu Prasad Dec 1, 2011 36 views

### III. Permutation Representations

The third lecture of an advanced undergraduate/beginning graduate level course on representation th… Amritanshu Prasad Dec 1, 2011 65 views

### II. Characters

The second lecture of an advanced undergraduate/beginning graduate level course on representation t… Amritanshu Prasad Dec 1, 2011 28 views

### I. The Group Algebra

The first lecture of an advanced undergraduate/beginning graduate level course on representation th… Amritanshu Prasad Dec 1, 2011 52 views

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