A solution of the word problem for braid groups via the complex reflection group G12
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DOI: 10.2298/fil2002461c
Abstract: It is known that if there exists a Gröbner-Shirshov basis for a group G, then we say that one of the decision problem, namely the word problem, is solvable for G as well. Therefore, as… read more here.
Keywords: complex reflection; word problem; group; reflection group ... See more keywords
Gröbner-Shirshov Bases for Temperley-Lieb Algebras of Complex Reflection Groups
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DOI: 10.3390/sym10100438
Abstract: We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra T (d, n) of the complex reflection group G(d, 1, n), inducing the standard monomials expressed by the generators {Ei} of T (d, n). This result… read more here.
Keywords: complex reflection; temperley lieb; bner shirshov; reflection group ... See more keywords