Hopf quasigroups and the algebraic 7-sphere
WebTelephone: +44 (0)20 7882 5450 Room Number: Mathematical Sciences Building, Room: MB-G25 Website: http://www.maths.qmul.ac.uk/~majid/Welcome.html Office Hours: Tuesdays 11.00am-12.00pm (except week 7) in Academic Hub 401 in the maths building. I am also available on email, or on zoom by appointment. Profile Publications Profile WebWe prove basic results as for Hopf algebras, such as anti(co)multiplicativity of the antipode S:H→H, that S2=id if H is commutative or cocommutative, and a theory of crossed (co)products. We also introduce the notion of a Moufang Hopf (co)quasigroup and show that the coordinate algebras k[S2n−1] of the parallelizable spheres are algebraic …
Hopf quasigroups and the algebraic 7-sphere
Did you know?
WebSofia Danova (1879–1946), Bulgarian teacher and philanthropist, first Bulgarian woman to graduate in mathematics. Christine Darden (born 1942), American aeronautical engineer who researches sonic booms. Geraldine Claudette Darden (born 1936), one of the first African-American women to earn a PhD in mathematics. Webof a Moufang Hopf (co)quasigroup and show that the coordinate algebras k[S2 n−1] of the parallelizable spheres are algebraic quasi-groups (commutative Hopf coquasigroups in our formulation) and Moufang. We make use of the description of composition algebras such as the octonions via a cochain F introduced in [2]. We con-structanexamplek[S7]Z ...
Webon the 7-sphere, new solutions to the quantum Yang-Baxter equation, and the combinatorial structures of quasigroups and Latin squares. One of the main programs in the study of … Web27 jun. 2009 · Title: Hopf quasigroups and the algebraic 7-sphere. Authors: J. Klim, S. Majid (Submitted on 27 Jun 2009 , last revised 15 Dec 2009 (this version, v3))
Web27 jun. 2009 · Hopf quasigroups and the algebraic 7-sphere @article{Klim2009HopfQA, title={Hopf quasigroups and the algebraic 7-sphere}, author={Jennifer Klim and Shahn … Web1 apr. 2016 · Taking into account that this notion generalizes the ones of Hopf (co)quasigroup and weak Hopf algebra, we obtain as a consequence the first …
Web26 jun. 2009 · Hopf quasigroups were introduced by Klim and Majid in [5] in order to understand the structure and relevant properties of the algebraic 7-sphere. They are …
WebWe use Hopf coquasigroup methods to study differential geometry on k[S7] including a short algebraic proof that S7 is parallelizable. Looking at combinations of left- and right … chinese restaurants cumberland mdWebYetter–Drinfel’d modules over weak Hopf quasigroups Journal of Algebra and Its Applications Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours. For online purchase, please visit us again. grand tactician economy alertsWebTo understand the structure and relevant properties of the algebraic 7-sphere, Klim and Majid in [4] introduced the notion of Hopf quasigroups. Which is the linearise of … grand tactician gamesWeb31 mei 2010 · Hopf quasigroups and the algebraic 7-sphere. J. Klim 1, Shahn Majid 1 • Institutions (1) 31 May 2010 - Journal of Algebra (Academic Press) - Vol. 323, Iss: 11, pp … chinese restaurants crystal lake ilWebquasigroups. A Steiner triple system (S,B) is a finite set Stogether with a set B of blocks, 3-element subsets of Swith the property that each pair of distinct elements of Sis contained in exactly one block. 1.3.2. Projective spaces over GF(2). t t HH H HH HH HH HH HH HH J J J J J J J J J J J J J J JJ 1 = 001 t 5 = 101 t 4 = 100 3 = 011 t t 6 ... chinese restaurant scunthorpeWeb22 apr. 2010 · Using the general Hopf module theory for Hopf (co)quasigroups from \cite {Br09} we show that a finite dimensional Hopf (co)quasigroup has a unique integration … grand tactician early accessWebLie groups have an entirely algebraic description as commutative Hopf algebras, the main goal of the present paper is to develop the corresponding theory of ‘algebraic … grand tactician the civil war cheat