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bio website math.ucdavis.edu/~greg
location Davis, CA
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I am a professor at UC Davis.


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May
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comment Intuition behind the definition of quantum groups
See further comments.
May
8
revised Intuition behind the definition of quantum groups
Answers in response to Semyon's further questions
May
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May
6
comment Intuition behind the definition of quantum groups
Okay, there is another asterisk to the formalism: By historical accident, the most standard $q$ in a quantum group is actually the square root of the more natural $q$ in $q$-analogues and Gaussian binomial coefficients. This discrepancy is controversial and could in theory still disappear one day.
May
6
answered Intuition behind the definition of quantum groups
Apr
14
comment Open problems in Euclidean geometry?
Yes, uniformly random in that sense.
Apr
10
answered Dividing by two in the category of vector spaces
Apr
10
comment Dividing by two in the category of vector spaces
(No, StackExchange, I would not like to move this discussion to chat.) Characteristic p is as far as I have gotten in "math by Google".
Apr
10
comment Dividing by two in the category of vector spaces
Yeah, it looks like it just is a counterexample.
Apr
10
comment Dividing by two in the category of vector spaces
On the other hand, this conference proceedings, "Infinite Length Modules" by Krause and Ringel, says that Krull-Schmidt can fail for infinite-dimensional representations of a finite group, over an infinite field with positive characteristic. books.google.com/…
Apr
10
comment Dividing by two in the category of vector spaces
Wikipedia says that this assertion, the "Krull-Schmidt theorem", holds for finite-length modules over a ring, but not in general for modules that are only Noetherian or only Artinian. en.wikipedia.org/wiki/…
Apr
10
comment Dividing by two in the category of vector spaces
Note that one test of naturality in this case is whether it is true for infinite-dimensional vector spaces without the axiom of choice.
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6
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