Results 61 to 70 of about 14,402,713 (324)

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
doaj   +1 more source

Key agreement protocol in infinite semigroup representation level

Lietuvos Matematikos Rinkinys, 2007
Matrix decomposition problem over integer ring is presented. Solving methods are discussed and it is showed, that this problem is hard computational problem regard to computer memory resources.
Artūras Katvickis, Eligijus Sakalauskas, Kastytis Ratkevičius   +2 more
doaj   +1 more source

UNIVERSAL REPRESENTATIONS OF BRAID AND BRAID-PERMUTATION GROUPS [PDF]

Journal of Knot Theory and Its Ramifications, 2009
Drinfel'd used associators to construct families of universal representations of braid groups. We consider semi-associators (i.e. we drop the pentagonal axiom and impose a normalization in degree one). We show that the process may be reversed, to obtain semi-associators from universal representations of 3-braids.
Berceanu, Barbu, Papadima, Ştefan
openaire   +3 more sources

Trajectories of Physical Function in Canadian Children with Juvenile Idiopathic Arthritis

Arthritis Care &Research, Accepted Article.
Objectives We describe trajectories of physical function in children newly diagnosed with juvenile idiopathic arthritis (JIA) and identify trajectories with persisting functional impairments and associated baseline characteristics. Methods We included patients enrolled in the Canadian Alliance of Pediatric Rheumatology Investigators (CAPRI) Registry ...
Clare Cunningham, Meghan McPherson, Lillian Lim, Roberta A. Berard, Matthew Berkowitz, Jean‐Philippe Proulx‐Gauthier, Brian M. Feldman, Nicole Johnson, Dax G. Rumsey, Heinrike Schmeling, Lori B. Tucker, Thomas Loughin, Kristin M. Houghton, Jaime Guzman, The CAPRI Registry Investigators   +14 more
wiley   +1 more source

On the unrestricted virtual singular braid

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn.
Ligouras Panagiote
doaj   +1 more source

On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants

Bulletin of Mathematical Sciences, 2021
Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208].
Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim, Igor M. Nikonov   +3 more
doaj   +1 more source

On groups Gnk, braids and Brunnian braids [PDF]

Journal of Knot Theory and Its Ramifications, 2016
In [V. O. Manturov, arXiv:1501.05208v1 ], the second author defined the [Formula: see text]-free braid group with [Formula: see text] strands [Formula: see text]. These groups appear naturally as groups describing dynamical systems of [Formula: see text] particles in some “general position”. Moreover, in [V. O. Manturov and I. M. Nikonov, J.
Kim, Seongjeong, Manturov, V. O.
openaire   +3 more sources

Alexander Invariants of Complex Hyperplane Arrangements

, 1997
Let A be an arrangement of complex hyperplanes. The fundamental group of the complement of A is determined by a braid monodromy homomorphism from a finitely generated free group to the pure braid group.
Cohen, Daniel C., Suciu, Alexander I.
core   +1 more source

Generalized and Quasi-Localizations of Braid Group Representations [PDF]

, 2011
We develop a theory of localization for braid group representations associated with objects in braided fusion categories and, more generally, to YangBaxter operators in monoidal categories.
César Galindo, Seung-Moon Hong, E. Rowell   +2 more
semanticscholar   +1 more source

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source