Abstract
Let R \in gl(n^2) be a R-matrix determined by a matrix A \in gl(n) and A\in gl(n) the corresponding FRT-bialgebra. The paper gives a sufficient condition for the quotient algebra of A_R being a Hopf *-algebra. For a special class of Hopf *-algebra constructed from a Latin square, after being completed, a compact matrix quantum group with generators of norm one is given.
Highlights
Jiang Lining abstract: Let R ∈ gl n2 be a R-matrix determined by a matrix A ∈ gl(n) and AR the corresponding FRT-bialgebra
For a special class of Hopf *-algebra constructed from a Latin square, after being completed, a compact matrix quantum group with generators of norm one is given
Lemma 2.1 Let S(A) be the Hopf algebra defined in Theorem 1.1
Summary
Jiang Lining abstract: Let R ∈ gl n2 be a R-matrix determined by a matrix A ∈ gl(n) and AR the corresponding FRT-bialgebra. For a special class of Hopf *-algebra constructed from a Latin square, after being completed, a compact matrix quantum group with generators of norm one is given. Σ ∈Sn :σ(i)=j i−1 ajσ(k) k=1 aik t1σ(1) · · · tij · · · tnσ(n), sgn (σ) a (σ)−1 σ∈Sn :σ(j )=i j−1 ajk k=1 aiσ(k) tσ(1)1 · · · tij · · · tσ(n)n, and det =
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