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Dec
31
comment Is there a discrete version of non-commutative geometry (yet)?
you might be interested in a paper from Majid arxiv.org/abs/1011.5898 Noncommutative riemannian geometry on graphs. This is not NCG in the manner of connes, though.
Dec
20
asked Most efficient way to find distinct complementary subspaces over a finite field
Dec
15
awarded  Organizer
Dec
15
revised the split of two quantum dice
not quantum groups.
Dec
15
suggested approved edit on the split of two quantum dice
Dec
9
asked What's the connection between irreducible polynomials and fixed-frobenius elements in a finite ring?
Dec
9
accepted finding fixed points of frobenius endomorphism of a ring of char > $p$ (not a domain)
Dec
9
comment finding fixed points of frobenius endomorphism of a ring of char > $p$ (not a domain)
this is a very good answer. but it leaves me with a lot of nagging questions: why does the number of cycles = the number of distinct irreducible factors of $x^{p^n} -x$? Why does the number of cycles of length $d$ = the number of such factors of degree $d$? I suppose these things deserve separate questions and I should accept your answer - is that the proper etiquette here?
Nov
28
revised finding fixed points of frobenius endomorphism of a ring of char > $p$ (not a domain)
edited body
Nov
27
asked finding fixed points of frobenius endomorphism of a ring of char > $p$ (not a domain)
Mar
18
awarded  Yearling
Jan
5
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
certainly! google my name on here and you should find my contact info.
Jan
5
answered $U_q$ Quantum group and the four variables: $E, F, K, K^{-1}$
Dec
28
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
I'm working through majid's "primer on quantum groups" (disclaimer: majid is my phd supervisor) along with kassel, and I have a few other texts handy, but they're harder for an undegrad to crack. feel free to email me about it, though.
Dec
18
accepted proving that a action of hopf algebra k(G) on A implies a G-grading on A
Dec
17
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
a word of warning about kassel - it's a great book, but he tends to be a bit "over axiomatic" and it's a bit hard to see the forest through the trees sometimes. For instance, it's a lot easier to just compute $\Delta(\text{det_q})$ then to follow his chain of propositions. It helps to have a few other texts handy to cross-reference these things.
Dec
17
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
I re-wrote it a bit more coherently, also describing coideals a tad bit more and explaining how he gets the computation. You should ensure you have a good idea of ideals and quotient rings if you don't have that already. coideals were described in ch3. I'm a 2nd year phd student and I find this hopelessly confusing myself. regards!
Dec
17
revised Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
same thing, but written more coherently.
Dec
17
answered Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
Dec
17
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
do you understand how the bialgebra structure on $M_q(2)$ works?