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location Hamburg
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knot theory dilettant!

Aug
10
comment Highest weight formulas for quadratic Casimir and dimension for the simply laced Lie algebras
In fact, this question can be closed: a) I found a Chinese (:-) site which wonderfully explained how to apply the Weyl formula step by step, and I immediately understood everything. It IS simple but I never would have understood your standard abstract textbook. And b), the formula for the quantum dimension will be automatically correct for the Casimir by the replacements I described, but not in reverse - you can do nice fully general Casimir formulas for laced Dynkin diagrams OR Bn+Cn+F4, but unfortunately, this doesn't hold for the quantum dimensions and my work was a bit pointless.
Aug
10
comment Highest weight formulas for quadratic Casimir and dimension for the simply laced Lie algebras
In fact, this questio
Aug
8
asked Highest weight formulas for quadratic Casimir and dimension for the simply laced Lie algebras
Jul
15
revised Quadratic Casimirs of the E7 series
And a typo. Sigh...
Jul
15
revised Quadratic Casimirs of the E7 series
Argl. Example wasn't formulated precisely enough.
Jul
15
revised Quadratic Casimirs of the E7 series
example given
Jul
15
asked Quadratic Casimirs of the E7 series
Jul
8
awarded  Popular Question
Jun
24
asked Distiguishing mutant knots
Jun
17
comment Noncommutative fusion categories
Doesn't matter insofar as I just fell over Haagerup 2 (also called H6) in arxiv1102.2631v2 which I forgot - so we're down to rank 6 anyway.
Jun
17
asked Noncommutative fusion categories
Jun
11
comment Fusion categories: If infinity were an integer
So, loosely, a based ring is a category iff it has a consistent (pentagon rule etc.) set of 6j symbols?
Jun
10
comment Fusion categories: If infinity were an integer
Owch! I begin to think that what I always called a "fusion category" is only a "based ring". (I check: Associative, commutative, 1 element, conjugate element. Uhm, can you give me a simple condition for fusion rules or Verlinde matrix that a based ring can be categorified?)
Jun
10
accepted Fusion categories: If infinity were an integer
Jun
9
asked Fusion categories: If infinity were an integer
Jun
2
comment General quantum highest-weights dimension formulas
G2: Some integers cancel out and I possibly use q^3 where I should use q or so :-) (Cf. "GLOBAL DIMENSIONS FOR LIE GROUPS AT LEVEL k AND THEIR CONFORMALLY EXCEPTIONAL QUANTUM SUBGROUPS" by R. Coquereaux, p.23., which was the "next" paper mentioned above. More precise there.) It is not 100% trivial, though, since e.g. i+1 in the A2 formula could translate to [2*i+2]/[2] or [3*i+3]/[3] in quantum integers. Do you have a handy reference to look up the Weyl dimensions of all the simple Lie algebras?
Jun
1
asked General quantum highest-weights dimension formulas
May
29
revised Pseudo-braided fusion categories
Open mouth, insert foot.
May
28
asked Pseudo-braided fusion categories
May
20
comment Fusion category R-symbols diagonal even when multiplicity present?
Also, regarding 3.3. of Galindo: Of course they are, but can you get BOTH Schur and braiding to be diagonal? (I assume the unitary case by default.)