07-1352/Class Notes for January 23: Difference between revisions

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{{in Preparation}}


==A HOMFLY Braidor==
==A Second Look==


We'll take a second look at [[06-1350/Class Notes for Tuesday October 24]].
===The Algebra===


==A Numerology Problem==
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:


We briefly mentioned a numerology problem from {{Dror}}'s [[paperlet]] [[The HOMFLY Braidor Algebra]]. More about it will come later.
===The Equations===

===The Equations in Functional Terms===

===A Solution===

Latest revision as of 13:32, 26 January 2007

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.