07-1352/Class Notes for January 23: Difference between revisions
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{{07-1352/Navigation}} |
{{07-1352/Navigation}} |
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{{in Preparation}} |
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==A |
==A Second Look== |
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We'll take a second look at [[06-1350/Class Notes for Tuesday October 24]]. |
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===The Algebra=== |
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==A Numerology Problem== |
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Let <math>A_n={\mathbb Q}S_n\otimes{\mathbb Q}\langle x_1\ldots x_n\rangle</math> be the vector-space tensor product of the group ring <math>{\mathbb Q}S_n</math> of the permutation group <math>S_n</math> with the completed free associative algebra <math>{\mathbb Q}\langle x_1\ldots x_n\rangle</math> on (non-commuting) generators <math>x_1\ldots x_n</math> (that is, <math>{\mathbb Q}\langle x_1\ldots x_n\rangle</math> is the ring of non-commutative power series in the variables <math>x_1\ldots x_n</math>). We put an algebra structure on <math>A_n</math> as follows: |
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We briefly mentioned a numerology problem from {{Dror}}'s [[paperlet]] [[The HOMFLY Braidor Algebra]]. More about it will come later. |
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===The Equations=== |
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===The Equations in Functional Terms=== |
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===A Solution=== |
Latest revision as of 12:32, 26 January 2007
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A Second Look
We'll take a second look at 06-1350/Class Notes for Tuesday October 24.
A Numerology Problem
We briefly mentioned a numerology problem from Dror's paperlet The HOMFLY Braidor Algebra. More about it will come later.