Indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level 2 with abelian permutation group
Keyword(s):
Abstract We present a construction of all finite indecomposable involutive solutions of the Yang–Baxter equation of multipermutational level at most 2 with abelian permutation group. As a consequence, we obtain a formula for the number of such solutions with a fixed number of elements. We also describe some properties of the automorphism groups in this case; in particular, we show they are regular abelian groups.
2018 ◽
Vol 167
(02)
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pp. 229-247
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1982 ◽
Vol 33
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pp. 76-85
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2012 ◽
Vol 92
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pp. 127-136
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2001 ◽
pp. 51-62
2018 ◽
Vol 27
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pp. 1850055
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2008 ◽
Vol 77
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pp. 9-20
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1972 ◽
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pp. 1065-1069
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