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 8 
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 7 
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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 
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Dividing by two in the category of vector spaces
Yeah, it looks like it just is a counterexample. 
Apr 10 
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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 KrullSchmidt can fail for infinitedimensional representations of a finite group, over an infinite field with positive characteristic. books.google.com/… 
Apr 10 
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Dividing by two in the category of vector spaces
Wikipedia says that this assertion, the "KrullSchmidt theorem", holds for finitelength 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 infinitedimensional vector spaces without the axiom of choice. 
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