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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?
Dec
17
comment proving that a action of hopf algebra k(G) on A implies a G-grading on A
I added some text for clarification, does that help?
Dec
17
revised proving that a action of hopf algebra k(G) on A implies a G-grading on A
added some clarification
Dec
16
asked proving that a action of hopf algebra k(G) on A implies a G-grading on A
Aug
6
accepted What are some examples of vector spaces that aren't graded?
Aug
6
comment What are some examples of vector spaces that aren't graded?
well that certainly clears things up. thanks!
Aug
6
asked What are some examples of vector spaces that aren't graded?
Aug
4
accepted proving that this coproduct and product get along well enough to make a bialgebra (Quantum Groups, Kassel)
Aug
3
answered proving that this coproduct and product get along well enough to make a bialgebra (Quantum Groups, Kassel)
Aug
1
asked proving that this coproduct and product get along well enough to make a bialgebra (Quantum Groups, Kassel)
Jul
5
revised what simple extensions can be naturally embedded into Conway's algebraic closure of $\mathbb{F}_2$?
added 419 characters in body
Jul
5
comment what simple extensions can be naturally embedded into Conway's algebraic closure of $\mathbb{F}_2$?
this is indeed a helpful answer, and sheds much light on the proof in conway's book I didn't understand (he uses the same technique with that polynomial). In fact it solves my problem for all finite numbers where its possible to solve it. But I'd still like a description of the other subfields, though. I'm going to leave the question open, but if you're interested I'll post a note or another question on the bits I [do not] understand from Conway's book. Thanks! :D