MTS
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Registered User
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I like quantum groups, representation theory, noncommutative algebra, and homological algebra, mainly in the context of noncommutative geometry.
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May 17 |
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Is there an analogue of spin/oscillator representation for the general linear Lie algebra? Steven, what properties of the spin/oscillator representations are you trying to generalize? And what properties of the Clifford/Weyl algebras? |
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May 17 |
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$C_c^{\infty}([0,T];V)$ is dense in $C_c^{1}([0,T];V)$? Isn't it superfluous to require compact support, given that the domain is a compact interval? |
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Apr 30 |
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Quotient of Lie rings and quotient of Lie groups! I think this still needs to be clarified. Take $g$ to be a Lie algebra, $I \subseteq g$ an ideal. Are you asking whether $U(I)$ (the universal enveloping algebra of $I$) is an ideal in the universal enveloping algebra $U(g)$? |
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Apr 30 |
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Quotient of Lie rings and quotient of Lie groups! I don't understand your question. What quotient ring do you mean? What does a Lie group have to do with anything? |
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Apr 30 |
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Existence of a continuous and unbounded map $f$ with $f(f(x))=x$ Continuous for which topology? |
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Apr 29 |
accepted | Criterion for nilradical of a maximal parabolic subalgebra to be abelian? |
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Apr 29 |
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Criterion for nilradical of a maximal parabolic subalgebra to be abelian? @Jim, check your email. |
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Apr 28 |
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Criterion for nilradical of a maximal parabolic subalgebra to be abelian? I should say that some people refer to this property by saying that $\mathfrak{p}$ is of cominuscule type. It is related to the property of minusculity, but is not quite the same. See the beginning of Chapter 9 of Billey and Lakshmibai, Singular Loci of Schubert Varieties for a little more information on that connection. |
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Apr 28 |
answered | Criterion for nilradical of a maximal parabolic subalgebra to be abelian? |
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Apr 27 |
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Incidences of quadratic forms and points -1. This question needs much more explanation to be clear and useful. See mathoverflow.net/howtoask. |
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Apr 26 |
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Existence of a projection operator onto a classical set of density matrices FYI, you should use \langle and \rangle rather than < and >, as they are interpreted differently by the formatting engine. |
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Apr 26 |
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Existence of a projection operator onto a classical set of density matrices Fixed some latex |
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Apr 24 |
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Projective modules Texified, fixed grammar |
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Apr 21 |
answered | Possible directions in noncommutative geometry |
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Apr 21 |
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Possible directions in noncommutative geometry This should probably be community wiki, as you are asking for a list, rather than a single correct answer. You also accepted an answer pretty quickly! |
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Apr 19 |
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Finding questions between functional analysis and set theory @Nik, thanks for the correction. |
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Apr 18 |
answered | Finding questions between functional analysis and set theory |
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Apr 18 |
revised |
General criterion for homomorphism between Clifford Algebras texified |
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Apr 13 |
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Analogy between the exterior power and the power set By $P_n(X)$ do you mean the set of $n$-element subsets? In that case your first identity holds only when $X$ is finite, while $\Lambda(M)$ makes sense for $M$ of any dimension and has the decomposition that you give. Interesting question! |
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Apr 12 |
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differential form with empty zero locus Do you want to add some more restrictions? I mean, for general dimension $n$, can't you just take your complex manifold to be $\mathbb{C}^n$ and just choose some constant nonvanishing form? |
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Apr 11 |
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Status of (Global) Langlands Conjecture for $GL_2$ over $\mathbb{Q}$ Hi Masoud! I added some dollar signs to your post so the math renders properly. |
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Apr 11 |
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Status of (Global) Langlands Conjecture for $GL_2$ over $\mathbb{Q}$ Texified title and body |
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Apr 4 |
answered | Generators of the Quantum Coordinate Algebras and Quantized Enveloping Algebra Representations |
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Apr 1 |
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Parabolic-type subgroups of GL(V) @Hung Nguyen, just FYI if you want to use brace brackets $\\{ \\}$ you need to put two backslashes before each bracket, otherwise they don't show up. |
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Apr 1 |
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Parabolic-type subgroups of GL(V) Fixed some spelling and formatting, added lie-groups tag. |
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Apr 1 |
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Are there any nontrivial ring homomorphisms $M_{n+1}(R)\rightarrow M_n(R)$? deleted 1 characters in body |
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Apr 1 |
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Coercive Symmetric Bilinear form on a Hilbert space When you say "the union of $P$ with a one-dimensional subspace", do you mean the (closed) subspace that they generate? The union of two subspaces is not generally a subspace. And is your Hilbert space real or complex? |
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Mar 31 |
answered | Domain of the wedge product in Little Spivak |
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Mar 31 |
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Almost-Lie Algebras? That's an interesting concept. Where does it arise? Are there natural examples? And do you know any good sources to read about them? |
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Mar 31 |
accepted | Almost-Lie Algebras? |
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Mar 30 |
answered | Almost-Lie Algebras? |
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Mar 19 |
revised |
Classification of Hopf algebra with exactly two 1-dimensional modules Improved formatting, added hopf-algebras tag |
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Mar 17 |
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Group G hasn’t all conditions of Lie group Fixed spelling and grammar in body. |
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Mar 15 |
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Criteria to determine whether a real-coefficient polynomial has real root? texified |
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Mar 15 |
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Non-Drinfeld--Jimbo Deformations and Finite Quantum Groups Sorry, link to Iwahori-Hecke algebra isn't working. The wiki page has a long dash in the title which seems to make copy/paste not work properly. But if you click the link I put there it will take you to the disambiguation page for "Hecke algebra", which has a link to the page for Iwahori-Hecke algebras. |
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Mar 15 |
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For what values of the parameter does this function have an elementary anti-derivative? Fixed spelling of title, some grammar, texified some of the content. |
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Mar 15 |
answered | Non-Drinfeld--Jimbo Deformations and Finite Quantum Groups |
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Mar 15 |
revised |
Sums of Squares texified |
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Mar 12 |
awarded | ● Popular Question |
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Mar 7 |
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Invariant subbundles of tangent bundle of flag variety Isn't $\mathfrak{g}/\mathfrak{p}$ isomorphic to the dual of the nilradical of $\mathfrak{p}$? |
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Feb 26 |
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Real forms of Drinfeld-Jimbo quantum groups added 318 characters in body |
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Feb 26 |
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Real forms of Drinfeld-Jimbo quantum groups Thanks, Uwe! The paper by Twietmeyer was exactly what I was looking for. |
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Feb 25 |
asked | Real forms of Drinfeld-Jimbo quantum groups |
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Feb 25 |
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what is a spinor structure? @Dmitri, that's a nice way of looking at it. As I said, I was just giving a brief summary of the basic idea presented in the reference that I listed. |
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Feb 24 |
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what is a spinor structure? @Dmitri: You're correct, I was being a bit imprecise here. As Branimir points out, one should use the even sub-bundle of the Clifford bundle in case $M$ is odd-dimensional, and there are other considerations as well. OP asked for a reference, so I was just briefly summarizing. |
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Feb 23 |
accepted | what is a spinor structure? |
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Feb 23 |
answered | what is a spinor structure? |
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Feb 22 |
awarded | ● Good Answer |
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Feb 8 |
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Riemannian Geometry Introductory Text I agree that this is a great book. But beware that the first edition (the only one available right now, although apparently a second one is in progress) has a fair number of errors. Fortunately you can find the errata available here: math.washington.edu/~lee/Books/riemannian.html at Lee's website. |
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Feb 8 |
revised |
How are real-analytic functions encoded in computer algebra? Edited title for spelling and clarity |
