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  • 131 votes cast
Mar
25
awarded  Benefactor
Mar
25
comment Quantum Groups: prove $U_1'\cong U[K]/(K^2-1)$ and $U\cong U_1'/(K-1)$
thanks for the help! (I have awarded the +500 bounty to this solution.)
Mar
25
accepted Quantum Groups: prove $U_1'\cong U[K]/(K^2-1)$ and $U\cong U_1'/(K-1)$
Mar
21
comment Prove well-definedness of comultiplication and counit of $GL_q(2)$ and $SL_q(2)$.
just a further question, how does showing the above computations show that $\Delta$ and $\epsilon$ are well-defined?
Feb
27
asked Predicate vs function
Feb
27
comment Different definition of antipode for $SL_q(2)$?
Thanks. In Kassel, it is written that the comultiplication $\Delta$ of $M_q(2)$ equip $SL_q(2)$ with Hopf algebra structures. And the comultiplications seem to be the same, $\Delta (a)=a\otimes a+b\otimes c$, etc. I am really puzzled.
Feb
27
asked Why are the rational numbers an elementary substructure of the reals?
Feb
24
asked Different definition of antipode for $SL_q(2)$?
Feb
24
asked Quantum Groups: prove $U_1'\cong U[K]/(K^2-1)$ and $U\cong U_1'/(K-1)$
Feb
24
accepted disjoint union Topology question
Feb
6
asked disjoint union Topology question
Jan
23
asked Converse of Hopf Algebra Theorem
Jan
19
awarded  Promoter
Jan
19
comment Basis of $SL_q(2)$
@JulianKuelshammer thanks a lot. may i ask how is the topological group (denoted as $F_h(SL_2(\mathbb{C}))$ different from $SL_q(2)$?
Jan
17
accepted How to show that $SL_q(2)$ and $U_q(\mathfrak{sl}(2))$ are noncommutative and noncocommutative
Jan
17
revised Basis of $SL_q(2)$
added 1266 characters in body
Jan
16
asked Basis of $SL_q(2)$
Jan
16
accepted Tensor Product Question in Kassel's Quantum Groups
Jan
15
answered How to show that $SL_q(2)$ and $U_q(\mathfrak{sl}(2))$ are noncommutative and noncocommutative
Jan
12
awarded  Popular Question