Results 31 to 40 of about 4,495 (311)
The framed braid group and 3-manifolds [PDF]
, 1992 The framed braid group on n n strands is defined to be a semidirect product of the braid group B n {B_n} and Z
Lawrence Smolinsky, Ki Hyoung Ko
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Generalizations of the standard Artin representation are unitary
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
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, 2007 We define pseudo-Garside groups and prove a theorem parallel to Garside's result on the word problem for the usual braid groups. The main novelty is that the set of simple elements can be infinite.
Krammer, Daan
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A BRAIDED SIMPLICIAL GROUP [PDF]
Proceedings of the London Mathematical Society, 2002 By studying the braid group action on Milnor's construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described groups. This establishes a relation between the braid groups and the homotopy groups of the sphere.2000Mathematical Subject ...
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Invariant tensors for the spin representation of $\frak{so}$(7) [PDF]
, 2008 We give a graphical calculus for the invariant tensors of the eight dimensional spin representation of the quantum group Uq(B3). This leads to a finite confluent presentation of the centraliser algebras of the tensor powers of this representation and a ...
Westbury, Bruce W.
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Monodromy Representations of the Braid Group [PDF]
, 2000 Chiral conformal blocks in a rational conformal field theory are a far going extension of Gauss hypergeometric functions. The associated monodromy representations of Artin's braid group capture the essence of the modern view on the subject, which ...
Hadjiivanov, Ludmil K., Todorov, Ivan T.
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Megamaps: Construction and Examples [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E.
Alexander Zvonkin
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Pure braid subgroups on braided Thompson’s groups [PDF]
Publicacions Matemàtiques, 2008 26 pages, 6 figures, with updated ...
Brady, Tom +3 more
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Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
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The Cohomology of the Mod 4 Braid Group [PDF]
, 2023 The mod 4 braid group, $\mathcal{Z}_{n}$, is defined to be the quotient of the braid group by the subgroup of the pure braid group generated by squares of all elements.
Nakamura, Trevor
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