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  • We define a "differential" <math>d:{\mathbb Q}[x]\to{\mathbb Q}[x,y]</math> by <math>(df)(x,y)=f(y)-f(x+y)+f(x {{Equation*|<math>e_8(x+y)-e_8(x)e_8(y)=M(x,y)-(d\epsilon)(x,y)</math>.}}
    18 KB (3,364 words) - 11:36, 28 November 2019
  • ...} conjecture and much of the Alekseev-Torossian {{ref|AT}} work on Drinfel'd associators and Kashiwara-Vergne can be re-interpreted as a study of w-knot {{note|EK}} P. Etingof and D. Kazhdan, Quantization of Lie Bialgebras, I, Selecta Mathematica, New Serie
    6 KB (887 words) - 17:47, 5 May 2014
  • ...sing combinatorics alone prove that given a 2-component link diagram <math>D</math>, with components <math>\gamma_1</math> and <math>\gamma_2</math>,
    2 KB (279 words) - 11:45, 4 May 2018
  • ... of a tricolouring as a map <math>\phi: S \rightarrow \{R,G,B\}</math>. We'd like to try to extend this to a group homomorphism <math>\phi:\langle S \mi
    2 KB (316 words) - 20:38, 9 January 2014
  • Some analysis of <math>d^{-1}</math>.
    37 B (7 words) - 12:28, 31 January 2014
  • More on pushforwards, <math>d^{-1}</math>, and <math>d^\ast</math>.
    67 B (12 words) - 14:43, 7 February 2014
  • The dual of <math>H^0(\mathcal{D}_n)</math>.
    44 B (9 words) - 13:40, 12 March 2014
  • A naive way to define <math>d^*</math>.
    39 B (8 words) - 13:43, 12 March 2014
  • The correct definition of <math>d^*</math>.
    43 B (7 words) - 13:46, 12 March 2014
  • ...in D}(\Phi_{\vec{e}}^\ast\omega_3)_{21}\prod_{\text{black}\atop \vec{e}\in D}(\Phi_{\vec{e}}^\ast\omega_1)_{10}</math>. I'll try to explain and make a p
    486 B (88 words) - 14:54, 19 March 2014
  • Read appendices A through D in our textbook (with higher attention to C and D), and solve the following problems:
    2 KB (303 words) - 15:04, 8 December 2014
  • ...00/Classnotes for Thursday October 16|Thursday]] - groups of order 12 cont'd. ...4-1100/Classnotes for Monday November 10|Monday]] - R is a PID iff R has a D-H norm, R-modules, direct sums, every f.g. module is given by a presentatio
    5 KB (648 words) - 08:27, 20 June 2015
  • ==Basic Properties of a Field (cont'd)==
    2 KB (377 words) - 01:57, 8 December 2014
  • ... a bit blurry. If anyone has suggestions for how to take better photos, I'd be very happy to hear them! (I haven't been using flash because I believe
    1 KB (226 words) - 14:14, 5 October 2014
  • ... a bit blurry. If anyone has suggestions for how to take better photos, I'd be very happy to hear them! (I haven't been using flash because I believe
    2 KB (291 words) - 14:16, 5 October 2014
  • ...mes 2</math> matrix makes no sense. Secondly, the elements <math>a, b, c, d</math> are undefined. What are they suppose to represent? Rational number \in span(S) \iff char(F)=2</math>. ''Q.E.D.''
    7 KB (1,127 words) - 15:08, 8 December 2014
  • ... theorems (currently from the textbook chapters 1.1 - 1.6 and appendices A-D, I might add more later) in this [[http://pastebin.com/igPXqtyk latex],
    4 KB (691 words) - 15:17, 8 December 2014
  • ...ies''! I had found a few mistakes my notes: there are a few places where I'd flipped <math>R^n</math> with X, and other similar errors.
    3 KB (393 words) - 14:16, 10 December 2014
  • Fourth red relation on the right should be <math>D=\partial(d)A^{-1}GA</math>
    179 B (35 words) - 13:00, 8 May 2015
  • ...Johnson homomorphism. In the Artin case, this is the action of the Drinfel'd-Kohno Lie algebra on the free Lie algebra.
    123 B (21 words) - 12:43, 19 October 2015

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