What is Representations: Definition and 216 Discussions
Representations is an interdisciplinary journal in the humanities published quarterly by the University of California Press. The journal was established in 1983 and is the founding publication of the New Historicism movement of the 1980s. It covers topics including literary, historical, and cultural studies. The founding editorial board was chaired by Stephen Greenblatt and Svetlana Alpers. Representations frequently publishes thematic special issues, for example, the 2007 issue on the legacies of American Orientalism, the 2006 issue on cross-cultural mimesis, and the 2005 issue on political and intellectual redress.
In characteristic zero any linear representation of a reductive group is semisimple. Also in characteristic zero any linear representation of a finite group is semisimple (Maschke's Thm). However is any linear representation of any group semisimple in characteristic zero?
Hello, perhaps this is the most dumb question ever, but I don't see why it holds.
I'm looking at the irreducible representations of the Lie group U(1). To find them I considered the irreps of the lie algebra u(1). These irreps are obviously 1 dimensional and are given by f(a i ) = p a i for...
Lecture 1. Introduction and first examples.I thought that this forum was looking a little sparse recently and decided to try to write something interesting for people to read, think about, possibly do some work on. One aspect of algebra that is not taught anywhere at undergraduate level that I'm...
What are good resources on Young diagrams and tableaux for representations of the permutation groups Sn and the unitary groups U(n) of n x n unitary matrices?
Another problem I can't figure out how to start.
Let S be the subspace of C[a,b] spanned by e^x , xe^x , (x^2)e^x . Let D be the differentiation operator of S. Find the matrix representing D with respect to [e^x, xe^x, (x^2)e^x ]
I've lost my Chemistry text :eek: and was wondering if anyone knew of any links that showed representations of what orbits may look like? In our halls I've seen wood models of 1p, 2p... but the text had MANY more and I can't remember the name even.
Hi,
I keep having problems with a homework question regarding irreducible representations. For the C2 group,which has only two elements,say, e and a, Iwas able to find the regular representations for them, yet i don't know how to find an irreducible representation for them. I'm also supposed...
I'm a little bit confused about the difference between the spinor and vector representations of SU(N)--I guess I could start with asking how a spinor and a vector differ: is this only a matter of how they transform under Lorentz transformations?
Following up, the covariant derivative for a...
I was wondering if anyone knew of any good books (or textbooks, or websites) which discuss finding series representations of integrals which exist, but don't have a closed form. I'm interested in the subject at the moment, but I haven't had much luck online. Furthermore, what branch of calculus...
Evaluate the indefinite integral as a power series and find radius of convergence. (i don't know how to type the integral and summations signs, sorry)
(integral sign) (x-tan^-1x)/x^3 dx. ( if you write this out it makes more sense)
i was able to find the power series of tan^-1x =...
Hello all
Let us say we are given a sequence of order 2. By order 2 I mean that we have a sequence in which the differences between the terms forms a sequence of order 1, which has a constant difference between terms. How can I prove that the nth term of a sequence of order 2 can be...
Ok, I'm a little lost so if this subject is off topic for this forum then I appoligize.
I am working on a modeling project that I'm trying to implement some code for and I don't even know where to start. I'm not that good of a coder nor am I that great at math but this project, in part, is to...
I have to prove the following, and while I understand why the following is true, and I am not sure how to begin writing it out
Let m.d1d2d3... and m'.d1'd2'd3' represent the same non-negative real number
1)If m<m', then I have to prove m'=m+1 and every di'=0 and di=0
2)If m=m' and there...
Any two noticeable R numbers a and b can be an open interval (a,b) of infinitely many R numbers, that cannot be separated form each other by any representation, and each R number can be represented only by aleph0 different representations.
Is it right ?
If what i wrote holds, than please...