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This site is marked private by its owner. If you would like to view it, you’ll need two things:. A WordPress.com account. Don’t have an account? All you need is an email address and password register here! Permission from the site owner. Once you've created an account, log in and revisit this screen to request an invite. If you already have both of these, great! Larr; Back to WordPress.com.

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mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: Galois Quantum Groups of Finite Fields

http://mebassett.blogspot.com/2013/01/galois-quantum-groups-of-finite-fields.html

The Matthew Maths Show. Maths blog - programming blog. Friday, January 4, 2013. Galois Quantum Groups of Finite Fields. In Chater 4 of Majid's A Quantum Groups Primer. Let $A$ be an algebra over a field $k$. We call $B$ a comeasuring. Of $A$ if it comes with an algebra map $ beta: A rightarrow A otimes B$, this is very similar to a coaction. That is, an object $M(A)$ such that for every other object $B$ in the category, there exists one and only one unique morphism $M(A) rightarrow B$. For $i,j,k=1$ to $...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: November 2011

http://mebassett.blogspot.com/2011_11_01_archive.html

The Matthew Maths Show. Maths blog - programming blog. Monday, November 28, 2011. Climbing Out of Black Holes. I published a two questions that had me stuck inside Majid's ` almost commutative black hole' . We'll start today be answering those questions while trying to avoid insulting myself and my readers, and then move on to calculate the Grassmann connection on our Black Hole Algebra. 1 NCG Vector Bundles For the Schwarzschild Solution. 2 Grassmann Connections in NCG. 3 The Grassmann Connection for ou...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: What I learned today: Braided (or quasi-triangular) Hopf Algebras

http://mebassett.blogspot.com/2013/01/what-i-learned-today-braided-or-quasi.html

The Matthew Maths Show. Maths blog - programming blog. Saturday, January 5, 2013. What I learned today: Braided (or quasi-triangular) Hopf Algebras. This is a post in my ` psuedo-daily' series ` What I learned Today'. Displaystyle tau circ Delta h = mathcal{R}( Delta h) mathcal{R} {-1}$. Id est, $G = langle x, y : x 2 = y 2 = (xy) 2 = 1 rangle$ and let $kG$ be the group Hopf algebra. For $q in k$ define. Displaystyle ( Delta otimes I) mathcal{R} = mathcal{R} {13} mathcal{R} {23}$. Where $ mathcal{R} {23}...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: February 2011

http://mebassett.blogspot.com/2011_02_01_archive.html

The Matthew Maths Show. Maths blog - programming blog. Tuesday, February 8, 2011. Fun and Games with X and f: A talk on Ergodic Theory. Or just read them here:. 1 First Game: Sets and Functions. Let $X$ be an arbitrary set (e.g. points in space, animals in a zoo.) and let $f: X rightarrow X$ be some function on $X$. For some $x in X$, we're gonna look at what happens to the set $ { x, f(x), f(f(x) , ldots }$. We'll call this set the orbit. Displaystyle n mapsto f n(x)$. We're gonna play three games with ...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: January 2012

http://mebassett.blogspot.com/2012_01_01_archive.html

The Matthew Maths Show. Maths blog - programming blog. Wednesday, January 18, 2012. Don't Censor the Web. Congress is considering two Orwellian-named laws, SOPA and PIPA, that are threatening free speech, internet security, and innovation. This is a reminder to call your representatives in Congress. And/or donate to the EFF. Today to help stop internet censorship. Posted by Matthew Eric Bassett. Saturday, January 7, 2012. Constructing the Grothendieck-Teichmuller Group. So for the past six or seven months.

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: Bosonisation of Quantum Groups, part II (Braided Categories)

http://mebassett.blogspot.com/2013/01/bosonisation-of-quantum-groups-part-ii.html

The Matthew Maths Show. Maths blog - programming blog. Monday, January 14, 2013. Bosonisation of Quantum Groups, part II (Braided Categories). Let's talk about the category of modules ${ H mathcal{M} $ for a braided Hopf algebra ${H}$ for a minute. If ${V}$ and ${W}$ are ${H}$-modules, then we have an easy action of ${H}$ on ${V otimes W}$ as well, by:. Displaystyle h triangleright(v otimes w) = sum h 1 triangleright v otimes h 2 triangleright w $. Actually a natural isomorphism (one can see already that...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: Bosonisation of Quantum Groups, an Introduction

http://mebassett.blogspot.com/2013/01/bosonisation-of-quantum-groups.html

The Matthew Maths Show. Maths blog - programming blog. Sunday, January 13, 2013. Bosonisation of Quantum Groups, an Introduction. Naturally, $B$ will have it's own modules. But what if we restrict the $B$-modules we want to look at? In fact, let's only look at $B$-modules in $ mathcal{C}$, we'll call these the braided. Does there exist a Hopf algebra $ mathcal{H}$ such that it's category of modules is exactly $ B mathcal{C}$? To do this, I need to study a few things:. That will color all calculations in ...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: January 2013

http://mebassett.blogspot.com/2013_01_01_archive.html

The Matthew Maths Show. Maths blog - programming blog. Monday, January 21, 2013. Bosonization Part III, Co-Bosonization. A few days ago I sketched out some of the basic category theoretic ideas behind the theory of bosonization of quantum groups. Today I want to talk about the dual version, co-bosonization. So let $(H, mathcal{R})$ be a dually. Quasitriangular Hopf algebra (I called this a co-braided Hopf algebra. In an earlier post on braided categories. Also as before, $ B mathcal{C}$ is the category o...

mebassett.blogspot.com mebassett.blogspot.com

The Matthew Maths Show: Bosonization Part III, Co-Bosonization

http://mebassett.blogspot.com/2013/01/bosonization-part-iii-co-bosonization.html

The Matthew Maths Show. Maths blog - programming blog. Monday, January 21, 2013. Bosonization Part III, Co-Bosonization. A few days ago I sketched out some of the basic category theoretic ideas behind the theory of bosonization of quantum groups. Today I want to talk about the dual version, co-bosonization. So let $(H, mathcal{R})$ be a dually. Quasitriangular Hopf algebra (I called this a co-braided Hopf algebra. In an earlier post on braided categories. Also as before, $ B mathcal{C}$ is the category o...

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New Zealand Association of Miniature Enthusiasts. NZAME Official Website: Home. Plans are now afoot for the NZAME 2018 Convention. Shop ‘Til You Drop. 19th to the 22nd of October at the Awapuni Function Centre,. In beautiful Palmerston North, New Zealand…. Make sure your membership is up to date so you can follow the plans through the NZAME Magazine –. The aims of NZAME have grown over the past 37 years but its main objective stands – to promote the craft of miniature making and collecting througho...

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