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Jim Conant's user avatar
Jim Conant's user avatar
Jim Conant
  • Member for 14 years, 3 months
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GL(V)-representation theory for a Lie bracket kernel
So how do you go from a decomposition of $Lie((n+2))$ to a decomposition of $D_n(V)$?
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GL(V)-representation theory for a Lie bracket kernel
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GL(V)-representation theory for a Lie bracket kernel
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Utility of virtual knot theory?
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Examples of great mathematical writing
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Examples of great mathematical writing
Bar-Natan's papers in general tend to be well-written.
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Examples of great mathematical writing
I find that's true of most of Kontsevich's papers.
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Which book would you like to see "texified"?
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Examples of common false beliefs in mathematics
+1 for the discrete $\neq$ totally disconnected example.
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Coefficients in cohomology
I agree with Sean. Group homology with twisted coefficients arises in interesting contexts all the time.
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What would you want on a Lie theory cheat poster?
The unstable homology is also hopeless.
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Textbook recommendations for undergraduate proof-writing class
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Handle slides homeomorphism
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Handle slides homeomorphism
Yes, the handle slide operation is enough to show this.
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number of ribbon structures (or punctured surfaces) on a graph
Think Euler characteristic.
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Mr. G.P.K.'s questions
I'm downvoting because a) this certainly doesn't match the criteria for acceptable posts, and b) this comes across as mocking a certain class of poster, which I think is inappropriate.
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Quasi-Lie algebras in nature?
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Quasi-Lie algebras in nature?
@Daniel: But $[x,[x,x]]=0$ by the Jacobi identity! I guess in the super case, if $x$ has odd degree, this would be $3$-torsion.
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Occurrences of (co)homology in other disciplines and/or nature
Ghrist has written a number of papers applying homology to different applied fields. See for example his paper on Sensor Networks.
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Examples of "Unusual" Classifications
Simplices, n-cubes and generalized octahedra.
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