Show simple item record

Semientwining Structures and Their Applications

dc.contributor.authorNichita, Florin F.
dc.contributor.authorParashar, Deepak
dc.contributor.authorZielinski, Bartosz
dc.date.accessioned2015-10-01T05:34:44Z
dc.date.available2015-10-01T05:34:44Z
dc.date.issued2012-10-31
dc.identifier.issn2090-6293
dc.identifier.urihttp://hdl.handle.net/11089/12025
dc.description.abstractSemientwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and braided algebras, lifting functors, finding solutions for Yang-Baxter systems, and so forth. While for entwining structures one can associate corings, for semientwining structures one can associate comodule algebra structures where the algebra involved is a bialgebra satisfying certain properties. Remove selectedpl_PL
dc.language.isoenpl_PL
dc.publisherHindawi Publishing Corporationpl_PL
dc.relation.ispartofseriesISRN Algebra;
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/*
dc.titleSemientwining Structures and Their Applicationspl_PL
dc.typeArticlepl_PL
dc.page.number1-9pl_PL
dc.contributor.authorAffiliationNichita Florin F., Institute of Mathematics “Simion Stoilow” of the Romanian Academypl_PL
dc.contributor.authorAffiliationParashar Deepak, Cambridge Cancer Trials Centre, Department of Oncology, University of Cambridgepl_PL
dc.contributor.authorAffiliationZieliński Bartosz, Department of eoretical Physics and Informatics, University of Łódźpl_PL
dc.referencesM. Marcolli and D. Parashar, Quantum Groups and Noncommutative Spaces, Vieweg-Tuebner, 2010.pl_PL
dc.referencesT. Brzeziński and S. Majid, “Coalgebra bundles,” Communications in Mathematical Physics, vol. 191, no. 2, pp. 467–492, 1998.pl_PL
dc.referencesJ. Beck, “Distributive laws,” in Seminar on Triples and Categorical Homology eory, B. Eckmann, Ed., vol. 80 of Springer Lecture Notes in Mathematics, pp. 119–140, Springer, Berlin, Germany, 1969.pl_PL
dc.referencesL. Hlavatý, “Algebraic framework for quantization of nonultralocal models,” Journal of Mathematical Physics, vol. 36, no. 9, pp. 4882–4897, 1995.pl_PL
dc.referencesL. Hlavaty and L. Snobl, “Solution of a Yang-Baxter system,” http://arxiv.org/abs/math/9811016.pl_PL
dc.referencesT. Brzeziński and F. F. Nichita, “Yang-Baxter systems and entwining structures,” Communications in Algebra, vol. 33, no. 4, pp. 1083–1093, 2005.pl_PL
dc.referencesB. R. Berceanu, F. F. Nichita, and C. Popescu, “Algebra structures arising from Yang-Baxter systems,” http://arxiv .org/abs/1005.0989.pl_PL
dc.referencesF. F. Nichita and D. Parashar, “Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures,” Communications in Algebra, vol. 34, no. 8, pp. 2713–2726, 2006.pl_PL
dc.referencesF. F. Nichita and D. Parashar, “New constructions of Yang- Baxter systems,” AMS Contemporary Mathematics, vol. 442, pp. 193–200, 2007.pl_PL
dc.referencesF. F. Nichita and C. Popescu, “Entwined bicomplexes,” Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie, vol. 52, no. 2, pp. 161–176, 2009.pl_PL
dc.referencesR. Wisbauer, “Algebras versus coalgebras,” Applied Categorical Structures, vol. 16, no. 1-2, pp. 255–295, 2008.pl_PL
dc.referencesS. Caenepeel and K. Janssen, “Partial entwining structures,” Communications in Algebra, vol. 36, no. 8, pp. 2923–2946, 2008.pl_PL
dc.referencesP. Schauenburg, “Doi-Koppinen Hopf modules versus entwined modules,” New York Journal of Mathematics, vol. 6, pp. 325–329, 2000.pl_PL
dc.referencesT. Brzeziński, “Deformation of algebra factorisations,” Communications in Algebra, vol. 29, no. 2, pp. 737–748, 2001pl_PL
dc.referencesS. Dăscălescu and F. Nichita, “Yang-Baxter operators arising from (co)algebra structures,” Communications in Algebra, vol. 27, no. 12, pp. 5833–5845, 1999.pl_PL
dc.referencesF. F. Nichita, Non-Linear Equations, Quantum Groups and Duality eorems: A Primer on the Yang-Baxter Equation, VDM, 2009.pl_PL
dc.referencesJ. López Peña, F. Panaite, and F. Van Oystaeyen, “General twisting of algebras,” Advances in Mathematics, vol. 212, no. 1, pp. 315–337, 2007.pl_PL
dc.referencesJ. C. Baez and A. Lauda, “A prehistory of n-categorical physics,” in Deep Beauty: Understanding the Quantum World rough Mathematical Innovation, H. Halvorson, Ed., pp. 13–128, Cambridge University Press, Cambridge, UK, 2011.pl_PL
dc.referencesJ. C. Baez, “Braids and Quantization,” http://math.ucr .edu/home/baez/braids.pl_PL
dc.referencesF. Nichita, “Self-inverse Yang-Baxter operators from (co)algebra structures,” Journal of Algebra, vol. 218, no. 2, pp. 738–759, 1999.pl_PL
dc.referencesP. T. Johnstone, “Adjoint liing theorems for categories of algebras,” e Bulletin of the London Mathematical Society, vol. 7, no. 3, pp. 294–297, 1975.pl_PL
dc.referencesR. Wisbauer, “Liing theorems for tensor functors on module categories,” Journal of Algebra and its Applications, vol. 10, no. 1, pp. 129–155, 2011.pl_PL
dc.referencesJ. C. Baez, “R-commutative geometry and quantization of Poisson algebras,” Advances in Mathematics, vol. 95, no. 1, pp. 61–91, 1992.pl_PL
dc.referencesM. Gerhold, S. Kietzmann, and S. Lachs, “Additive deformations of Braided Hopf algebras,” Banach Center Publications, vol. 96, pp. 175–191, 2011.pl_PL
dc.referencesD. Tambara, “The coendomorphism bialgebra of an algebra,” Journal of the Faculty of Science, vol. 37, no. 2, pp. 425–456, 1990.pl_PL
dc.contributor.authorEmaildp409@cam.ac.ukpl_PL
dc.identifier.doihttp://dx.doi.org/10.1155/2013/817919
dc.relation.volume2013pl_PL


Files in this item

Thumbnail
Name:
Semientwining Structures and ...
Size:
2.114Mb
Format:
PDF
View/Open
Thumbnail
Name:
license_rdf
Size:
1.337Kb
Format:
application/rdf+xml
View/Open

This item appears in the following Collection(s)

Show simple item record

Uznanie autorstwa 3.0 Polska
Except where otherwise noted, this item's license is described as Uznanie autorstwa 3.0 Polska