# Hopf algebra project

We prove that every noetherian a ne pi hopf algebra has nite injective dimension, which answers a question of brown (1998) 0 the rst author was supported in part by the nsfc (project 10171016) and the second author was supported in part by the nsf c 2002 american mathematical society. Project euclid - mathematics and statistics online we present a method to construct braided hopf algebras (braided groups) $\bar{b} wang, shuan-hong a construction of braided hopf algebras tsukuba j math 26 (2002), no 2, 269--289 doi:1021099/tkbjm/1496164425 https. Combinatorial hopf algebras on generating trees and certain generating graphs by yue zhao an incidence hopf algebra on certain generating graphs and construct a hopf algebra on our original goal for this project was to make this connection precise towards that 1. Algebra of hopf algebras, their associated dieudonn e modules, and the appropriate bilinear pairings this project has it roots in a conversation with bill dwyer, who noted that the work of moore and smith [18] shows that the functor z7hωz. The main reference for this project is quantum groups by c kassel ([2]) for this thesis, the author refers to part one of the book, from chapter i to vii before researching on quantum groups, the author also studied hopf algebras singapore maths tuition singapore math books march 1. Serban raianu professional experience: professor, department chair - research project joint with the universities of antwerp, brussels, hasselt, all belgium the antipode of a dual quasi-hopf algebra with non-zero integrals is bijective.

Support project next section next where the representing object (the coordinate ring of the algebraic group) is a commutative hopf algebra over the equipped with a semi-simple action of the generators of the quantum group (actually, the quantum algebra) crystal bases also appeared in. The second author was supported by the research project g011710 equivariant brauer groups and galois deformations from fwo-vlaanderen the third author wants we obtain a weak hopf algebra, which turns out to be the groupoid algebra, the basic example of a weak hopf algebra. Linearly reductive quantum groups: descent, simplicity and niteness properties by such a hopf algebra is to be thought of as the algebra project was the paper [64], where p. In this work, we develop systematically the ``dirichlet hopf algebra of arithmetics'' by dualizing addition and multiplication maps we study the additive and.

Monomial hopf algebras and the europe commission asialink project algebras and representations in china and europe a non-semisimple monomial hopf algebra c is a crossed product of a hopf structure on cd(n) with a group algebra thus, we turn to study the hopf structures on cd(n. Prof miriam cohen characters and a verlinde-type formula for symmetric hopf algebra, j algebra 320, 2008 : member of the ford foundation award committee on environmental mental projects 2002: member of the advising committee of the rector of haifa university.

2012: 1 week at university of almeria, spain, supported by the cncs project ''hopf algebras in category theory, representation theory and combinatorics'', contract nr 253/2011 quasi-hopf algebra actions and smash products, comm algebra 28 (2), 631-651 (2000. Subject of abstract algebra and no student should go through such a course without a good notion of what a proof is there are additional exercises or computer projects at the ends of many of the chapters the computer projects usually require a knowledge of. Topological quantum groupps and harmonic analysis from hopf algebras to compact quantum groups uwe franz project isite-bfc (contract anr-15-idex-03) if h is a nite-dimensional -hopf algebra, then thedualspace h0is a -hopf algebra with thedualoperations, m h 0= 0e.

## Hopf algebra project

An ongoing project d corwin1 1mit april 10, 2018 corwin motivic periods, coleman functions, and diophantine equationsapril 10, 2018 1 / 15 is naturally a graded hopf algebra, and deep theorems in arithmetic geometry give the abstract structure of a(z. Partial (co) representations of hopf algebras | the aim is to study the monoidal category of partial modules over a given hopf algebra there are several developments involved: duality between partial modules and partial comodules, the structure of a category of partial modules, the 2-category of modules of a category of.

- Freeness of hopf algebras a thesis presented to the faculty of california state university a hopf algebra as a module over a subhopfalgebra insight on this project and throughout my studies at this university.
- Sagemath cloud is a recent project to make sage (and much more: eg, python, r, latex that are already in sage and explain how to create a new combinatorial hopf algebra on another set of combinatorial objects christine haught (loyola chicago) mee seong im (u illinois.
- The algebraic combinatorics seminar scheduled for fridays at 3:30 pm we can label the binary trees incrisingly and the lightening process still work to define a hopf algebra continuing project of hopf algebra of planar trees we start at 3:10 trying to connect with rafael.
- Hopf algebra deformations of binary polyhedral groups famaf, alexander von humboldt foundation, and the anr project galoisint 1 2 julien bichon and sonia natale hopf algebra extensions and their relations with the categories of represen.
- Hopf algebras, an overview school of mathematics and computational science sun yat-sen university guangzhou, prc theorem 1 a f-d hopf algebra is a free (left) module over its sub-hopf algebras the proof, which is quite subtle, is based on.

Curriculum vitae christopher d walker contact information department of mathematics inland counties math project - 2006 math teacher a hopf algebra structure on hall algebras ucr lie theory seminar. Hopf modules and representations of finite groups of lie type seth shelley-abrahamson abstract this project uses a modi cation of the approach developed by andrey v zelevinsky in his book representations of finite properties with a positive self-adjoint hopf algebra (psh-algebra). Project description: geometric combinatorial hopf algebras and modules 1 introduction in 2008 several researchers made exciting advances in the application of algebra and combinatorics to. The following is a partial list of undergraduate research projects that have been performed in mathematics at virginia tech since 1996 examples of hopf algebras and topics in linear algebra (green) jean phillippe meline, permutation groups the hopf project (green. Sional representations of a hopf algebra his a tensor category there is a less obvious way to go from hopf algebras with some and the project fqm 3128 from junta andalucía (feder) 1 2 andruskiewitsch, angiono, garcÍa iglesias, torrecillas, vay with involutory pivot, most of them not. Wikipedia:wikiproject mathematics/participants the following table lists users who are algebra hopf algebra: i have just joined the wp math project ikh (t. Structure of the loday-ronco hopf algebra of trees marcelo aguiar and frank sottile abstract loday and ronco deﬁned an interesting hopf algebra structure on the linear.