BRAID FAMILY REPRESENTATIVES
نویسندگان
چکیده
منابع مشابه
Braid Family Representatives
After defining reduced minimum braid word and criteria for a braid family representative , different braid family representatives are derived, and a correspondence between them and families of knots and links given in Conway notation is established .
متن کامل2 00 5 Braid Family Representatives
After defining reduced minimum braid word and criteria for a braid family representative , different braid family representatives are derived, and a correspondence between them and families of knots and links given in Conway notation is established.
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We propose a family of new representations of the braid groups on surfaces that extend linear representations of the braid groups on a disc such as the Burau representation and the Lawrence-Krammer-Bigelow representation.
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In this paper, we describe the braid group, first mentioned in [2]. We give applications to cryptography mentioned in [1] and [8]. We then describe an apparently new method for shortening braid descriptions which could be useful for transmitting braids over a limited bandwidth channel.
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2008
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216508006427