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Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 35,761
Hi, Can anyone recommend a freely available library in C or C++ that is able to calculate eigenvalues and...
Dec27-09 06:54 PM
patiobarbecue
3 11,172
What is the infinite product for the function \Xi(s)=\Gamma\left(\frac{s}{2}\right)\pi^{-s/2}\zeta(s) ?
Feb17-10 07:52 PM
Charles49
3 3,416
Hi! I have following question. I will explain it with abstract notation although in fact I am working with some...
Dec29-09 04:25 AM
kakaz
3 1,712
I'm having trouble grasping what an irreducible representation is. Can someone explain what this is through an example...
Jan1-10 09:04 PM
meopemuk
3 1,445
3\times2^{m}+1=n^{2} For some positive integers m and n.
Jan5-10 12:13 PM
robert2734
3 1,241
i'm working through the following text and I think I found an error please let me know if i'm totally wrong. ...
Jan16-10 05:44 AM
Spartan Math
3 2,531
Hi I'd like to show that SU(n) is a normal subgroup of U(n). Here are my thoughts: 1)The kernel of of...
Jan11-10 07:47 AM
wofsy
3 1,888
Ok so I am not a math major and i haven't taken an abstract algebra class but i am curoius about the subject. I have...
Jan13-10 01:32 PM
wofsy
3 1,053
Hi, I try to get a grasp on semi-direct products, by notes written by Patrick J. Morandi ("Semi direct products")....
Jan18-10 07:17 AM
haushofer
3 1,025
Is the following correct, as far as it goes? Suppose I have a vector space V and I'm making a transformation from...
Jan17-10 10:26 AM
Landau
3 4,263
Hello dear forum members I wanted to know where are the research on the Riemann hypothesis , the latest advances ,who...
Jan20-10 07:58 AM
CRGreathouse
3 2,038
Hello everyone, I have been trying to teach myself number theory and I am stuck trying to prove a (I am sure) very...
Jan17-10 03:05 PM
dodo
3 1,888
I know it's a dumb question but I can't figure out why the totient of n is always even (I've read in a book that it...
Jan18-10 02:04 PM
crypto_rsa
3 4,781
Here is an interesting problem that I've been thinking about for a while: Let p be a prime s.t. p = 4m+1 for some...
Feb1-10 10:12 AM
joeblow
3 4,077
okay so i was reading a book on representations and found this discussion and was confused:...
Jan22-10 08:29 AM
wofsy
3 4,916
Hello. I have been reading a book with an introductory section on number theory and the part regarding Euler's...
Jan22-10 12:22 PM
dodo
3 2,512
From this example Anti-Aliasing section 22.4.1 http://http.developer.nvidia.com/GPUGems2/gpugems2_chapter22.html...
Jan26-10 10:56 AM
rebeka
3 1,799
Hi Folks, I have a question about determinants that is probably quite simple. I know that if you have a matrix and...
Jan27-10 09:32 AM
ulriksvensson
3 978
I wonder if all coupling set of equations are not solvable analytically? I have a equation set as follows y1 =...
Jan27-10 12:07 PM
B-Con
3 1,278
Hello dear forum member I wanted to know how about the research on this branch of science.Are many people working on...
Jan31-10 06:06 AM
zetafunction
3 2,195
Hi, I have just started teaching linear algebra to myself. I know nothing about linear algebra so if this question...
Feb3-10 06:50 PM
Zaphos
3 3,005
Hey everyone, I'm taking this course called "Number Theory" and am having a lot of difficulty with it. We're...
Feb2-10 10:38 PM
ramsey2879
3 1,674
Hi, I am new with linear algebra, and I'm having a hard time wrapping my mind around the 0 vector and the additive...
Feb2-10 07:40 AM
radou
3 1,885
I recently teach myself linear algebra with Friedberg's textbook. And I have a question about adjoint operator, which...
Feb4-10 06:04 AM
typhoonss821
3 1,163
hi. i'm reading "quantum mechanics in hilbert space" and a don't get a basic point for bounded operators. def. 1...
Feb10-10 07:25 AM
tommy01
3 948
Clearly I am missing something obvious here, but how is it that negative even numbers are zeros of the Riemann zeta...
Feb10-10 12:10 PM
mrbohn1
3 4,549
G group, H subgroup of G. Suppose aH and bH are distinct leftcosets then Ha and Hb must be distinct right cosets? ...
Feb16-10 08:25 PM
Fredrik
3 2,802
"Let m and k be positive integers and φ(m) is the Euler's phi function. Then the number of integers n such that 1≤n≤mk...
Feb21-10 04:31 PM
CRGreathouse
3 1,645
I'm a physics major. As such, I have come across several situations in my studies that require the use of eigenvectors...
Feb22-10 09:04 AM
imaloonru
3 1,806
4=2+2, 6=3+3. Are there any other cases where an even number of the form 2p, where p is a prime, cannot be...
Feb22-10 05:20 PM
CRGreathouse
3 1,856
I am having trouble understanding this example: Let G=S_3 and H={(1),(13)}. Then the left cosets of H in G are ...
Feb25-10 02:32 AM
mrbohn1
3 1,046
Show that (p-1)(p-2)...(p-r)==(-1)^r*r!(mod p) for r=1, 2, ..., p-1. I am having trouble getting this proof started....
Feb24-10 03:38 PM
Tinyboss
3 1,904
1) Definition: Let m denote a positive integer and a any integer such that gcd(a,m)=1. Let h be the smallest positive...
Mar1-10 09:49 PM
VeeEight
3 1,956
Hello there, I have trouble understanding why the coefficients in an affine combination should add up to 1; From...
Mar9-10 04:17 AM
mrbohn1
3 2,562
given the sequence (power series) g(x)= \sum_{n\ge 0}a(n)(-1)^{n}x^{n} if i define ...
Mar14-10 01:42 PM
g_edgar
3 1,295
How do we show that, given a matrix $A$, the sign of the determinant is positive or negative depending on the...
Mar20-10 08:44 PM
quasar987
3 1,071
G,H be groups(finite or infinite) Prove that if (G:H)=n, then there exist some normal subgroup K of G (G:K)≤n!...
Mar22-10 08:23 AM
emptyboat
3 1,201
Can anyone explain, in detail, why/why not Z/(2x) is isomorphic to Z/2Z? I know that every element in Z can be written...
Mar30-10 09:01 AM
eok20
3 2,701
I have seen that there exists two group homomorphisms from Z to Z/2Z. However, I cannot seem to understand this. I...
Mar31-10 05:20 PM
Landau
3 1,794
How can we find the determinant of a complex matrix?
Apr1-10 07:11 AM
HallsofIvy
3 5,888

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