Retraction of Braid and Braid Group*
نویسندگان
چکیده
منابع مشابه
Braid Group Cryptography
In the last decade, a number of public key cryptosystems based on combinatorial group theoretic problems in braid groups have been proposed. We survey these cryptosystems and some known attacks on them. This survey includes: Basic facts on braid groups and on the Garside normal form of its elements, some known algorithms for solving the word problem in the braid group, the major public-key cryp...
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We extract the Braid group structure of a recently derived hierarchy scheme for the filling factors proposed by us which related the Hausdorff dimension, h, to the statistics, ν, of the collective excitations in the context of the Fractional Quantum Hall Effect (FQHE).
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We define quasi-Garside groups and prove a theorem about them parallel to Garside’s result on the word problem for the usual braid groups. We introduce a group which we call the braid group B of Zn, and which bears some resemblance to mapping class groups. We prove that B is a quasi-Garside group. We give a ‘small presentation’ for B.
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We discuss some consequences of the braid group action on a categorified quantum group. Results include a description of reflection functors for quiver Hecke algebras and a theory of restricting categorical representations along a face.
متن کاملBraid Group Cryptography Preliminary Draft
In the last decade, a number of public key cryptosystems based on combinatorial group theoretic problems in braid groups have been proposed. Our tutorial is aimed at presenting these cryptosystems and some known attacks on them. We start with some basic facts on braid groups and on the Garside normal form of its elements. We then present some known algorithms for solving the word problem in the...
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ژورنال
عنوان ژورنال: Asian Journal of Algebra
سال: 2009
ISSN: 1994-540X
DOI: 10.3923/aja.2010.8.16