Readings for Class #...  (EW = Erdmann & Wildon, M = Misra)
<ol>
<li>EW 1.1, M pages 1-2
<li>EW 1.2, M pages 2-4
<li>EW 1.3 &amp; 1.7, M pages 2-6
<li>EW 1.3 &amp; 1.7, M pages 2-6
<li>Problems
<li>M pages 5-6
<li>EW 1.3 &amp; M pages 9-11
<li>EW 1.3, 1.5, and 1.6 &amp; M 9-13
<li>Problems
<li>Problems
<li>EW 1.4 and 2.2 &amp; M 16-20
<li>Problems
<li>Big Quiz #1
<li>EW 1.4 and 2.2 &amp; M 16-20
<li>M 16-20
</ol>

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<tbody><tr align="center"><td colspan="7"><b>August</b></td></tr>
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<td width="14%">Sunday</td>
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<td></td><td></td><td></td><td></td><td>1</td><td>2</td><td>3</td>
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<td>4</td><td>5</td><td>6</td><td>7</td><td>8</td><td>9</td><td>10</td>
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<td>11</td><td>12</td><td>13</td><td>14</td><td>15</td><td>16</td><td>17</td>
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<td>18</td><td>19</td><td>20</td><td>Introduction<br>Definition</td><td>22</td><td>Examples, Basis, Dimension</td><td>24</td>
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<td>25</td><td>Coord. Matrices, Structure Constants, Subalgebras</td><td>27</td><td>More Exmaples</td><td>29</td><td>Problem Presentations</td><td>31</td>
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<tbody><tr align="center"><td colspan="7"><b>September</b></td></tr>
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<td width="14%">Sunday</td>
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<td>1</td><td><B>No Class</B></td><td>3</td><td>More Subalgebras</td><td>5</td><td>Direct Sums &amp; Intro to Ideals</td><td>7</td>
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<td>8</td><td>Ideals &amp; Derivations</td><td>10</td><td>More Ideals/Problem Session</td><td>12</td><td>Problem Presentations</td><td>14</td>
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<td>15</td><td>Quotients &amp; Homomorphisms</td><td>17</td><td>Problem Session</td><td>19</td><td><B>Big Quiz #1</B></td><td>21</td>
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<td>22</td><td>Homomorphism Examples</td><td>24</td><td>Presenting Thms 3.8, 3.10, &amp; 3.11</td><td>26</td><td>Class 16</td><td>28</td>
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<td>29</td><td>Class 17</td><td></td><td></td><td></td><td></td><td></td>
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<tbody><tr align="center"><td colspan="7"><b>October</b></td></tr>
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<td width="14%">Sunday</td>
<td width="14%">Monday</td>
<td width="14%">Tuesday</td>
<td width="14%">Wednesday</td>
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<td></td><td></td><td>1</td><td>Class 18</td><td>3</td><td>Class 19</td><td>5</td>
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<td>6</td><td>Class 20</td><td>8</td><td>Class 21</td><td>10</td><td>Class 22</td><td>12</td>
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<td>13</td><td>Class 23</td><td>15</td><td><b>Midterm</b></td><td>17</td><td><B>No Class</B></td><td>19</td>
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<td>20</td><td>Analogies: Module vs. Representation &amp; Submodules (EW 7.4)</td><td>22</td><td>Quotient modules, module maps &amp; Isomorphism Theorems (EW 7.4, 7.6)</td><td>24</td><td>Irreducibility, Indecomposibility, Schur's Lemmas (EW 7.5, 7.7)</td><td>26</td>
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<td>27</td><td>sl_2 representation theory (EW 8.2 &amp; 8.3)</td><td>29</td><td>sl_2 rep thy part 2 (EW 8.1)</td><td>31</td><td></td><td></td>
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<tbody><tr align="center"><td colspan="7"><b>November</b></td></tr>
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<td></td><td></td><td></td><td></td><td></td><td>Linear Algebra: dual spaces</td><td>2</td>
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<td>3</td><td>More duals &amp; Root space decomposition.</td><td>5</td><td>Root Space Decomposition: Cartan subalgebras</td><td>7</td><td>the Killing form</td><td>9</td>
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<td>10</td><td>Root Space Decomposition: Definition and reduction to sl_2</td><td>12</td><td>Class 35</td><td>14</td><td>Class 36</td><td>16</td>
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<td>17</td><td>Class 37</td><td>19</td><td>Class 38</td><td>21</td><td><b>Big Quiz #2</b></td><td>23</td>
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<td>24</td><td>Class 40</td><td>26</td><td><B>No Class</B></td><td>28</td><td><B>No Class</B></td><td>30</td>
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<tbody><tr align="center"><td colspan="7"><b>December</b></td></tr>
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<td width="14%">Sunday</td>
<td width="14%">Monday</td>
<td width="14%">Tuesday</td>
<td width="14%">Wednesday</td>
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<td>1</td><td>Class 41</td><td>3</td><td>Class 42</td><td>5</td><td>Class 43</td><td>7</td>
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<td>8</td><td><B>Modern Algebra Final</B><br>3pm-5:30pm</td><td>10</td><td>11</td><td>12</td><td><B>Lie Algebra Final</b><br>12pm-2:30pm</td><td>14</td>
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<td>15</td><td>16</td><td>17</td><td>18</td><td>19</td><td>20</td><td>21</td>
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<td>22</td><td>23</td><td>24</td><td>25</td><td>26</td><td>27</td><td>28</td>
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<td>29</td><td>30</td><td>31</td><td></td><td></td><td></td><td></td>
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Tentative Topic for Class #...
<ol>
<li> Syllabus/General Introduction (Definition of a Lie algebra)
<li> Fields/Characteristic/Complex Numbers
<li> Linear Algebra Review: LI/Spanning/Basis
<li> Linear Algebra Review: Coordinates/Coordinate Matrices
5<li> Linear Algebra: Direct Sums
<li> Linear Algebra: Quotient Spaces
<li> Definition of a Lie Algebra/different forms of the Jacobi Id./Structure Constants
<li> Subalgebras/Ideals/Examples
<li> More Examples
<li> Homomorphisms/Quotients
<li> Algebras/Derivations (finished chapter 1)
<li> Big Quiz #1
<li> Ideal constructions
<li> Isomorphism Theorems/Lattice Isom Thm. (finish chapter 2)
<li> Low dimensional Examples (chapter 3)
<li> Survey of Skipped Chapters (chapters 4-6)
<li> Definition of a representation/examples
<li> Definition of a module/relationship with rep.
<li> Submodules/quotients
<li> Irreducible modules
<li> Homomorphisms/Schur's lemma (finish chapter 7)
<li> Midterm Exam
<li> sl2 a special basis E,F,H 
<li> sl2 representation theory
<li> more sl2 theory
<li> discussion of Weyl's theorem/semisimple Lie algebras (finish chapter 8 skip 9)
<li> Linear Algebra: dual spaces
<li> Linear Algebra: inner products
<li> Root Space Decomposition: Cartan subalgebras
<li> Root Space Decomposition: Definition and reduction to sl_2
<li> Root Space Decomposition: Cartan subalgebras as inner product spaces (finish chapter 10)
<li> Abstract Root Systems: Definition and basics
<li> Big Quiz #2
<li> Abstract Root Systems: Bases, Cartan matrices, and Dynkin diagrams (finish chapter 11)
<li> A tour of types A, B, C, and D (classical algebras -- chapter 12)
<li> The classification (chapter 13)
<li> Serre's theorem (chapter 14)
<li> Weight Space Decomposition: Definition and reduction to sl_2
<li> Weight Space Decomposition: Examples
<li> Weight Space Decomposition: Big theorems
<li> 
<li>
<li>
<li> Final Presentations.
</ol>

Updated Tentative Schedule...
<ol start="25">
<li> Analogies: Module vs. Representation &amp; Submodules (EW 7.4)
<li> Quotient modules, module maps &amp; Isomorphism Theorems (EW 7.4, 7.6)
<li> Irreducibility, Indecomposibility, Schur's Lemmas (EW 7.5, 7.7)
<li> sl_2 representation theory (EW 8.2 &amp; 8.3)
<li> sl_2 rep thy part 2 (EW 8.1 skip Ch. 9)
<li> Linear Algebra: dual spaces
<li> More duals &amp; Root space decomposition.
<li> Root Space Decomposition: Cartan subalgebras
<li> The Killing form
<li> Root Space Decomposition: Definition and reduction to sl_2
<li> Root Space Decomposition: Cartan subalgebras as inner product spaces (finish chapter 10)
<li> Abstract Root Systems: Definition and basics
<li> Abstract Root Systems: Bases, Cartan matrices, and Dynkin diagrams (finish chapter 11)
<li> A tour of types A, B, C, and D (classical algebras -- chapter 12)
<li> </b>Big Quiz #2</b> 
<li> The classification (chapter 13) &amp; Serre's theorem (chapter 14)
<li> Weight Space Decomposition: Definition and reduction to sl_2
<li> Weight Space Decomposition: Examples
<li> Weight Space Decomposition: Big theorems
<li> Final Presentations.
</ol>