RTT relations , a modified braid equation and noncommutative planes
نویسنده
چکیده
With the known group relations for the elements (a, b, c, d) of a quantum matrix T as input a general solution of the RT T relations is sought without imposing the Yang-Baxter constraint for R or the braid equation forˆR = P R. For three biparametric de-formatios, GL (p,q) (2), GL (g,h) (2) and GL (q,h) (1/1), the standard,the nonstandard and the hybrid one respectively, R orˆR is found to depend , apart from the two parameters defining the deformation in question, on an extra free parameter K,such thatˆR
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With the known group relations for the elements (a, b, c, d) of a quantum matrix T as input a general solution of the RT T relations is sought without imposing the Yang-Baxter constraint for R or the braid equation forˆR = P R. For three biparametric de-formatios, GL (p,q) (2), GL (g,h) (2) and GL (q,h) (1/1), the standard,the nonstandard and the hybrid one respectively, R orˆR is found to depe...
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تاریخ انتشار 2000