Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with reference-request
Search options not deleted
user 85967
This tag is used if a reference is needed in a paper or textbook on a specific result.
10
votes
Up to date summary on semisimple Hopf algebra over $\mathbb{C}$
This is a question on an active area of research, with lots of work on it (for the general case of algebraically closed fields of char zero). It is historically and conceptually closely connected to K …
- 7,746
2
votes
Representation theory of $\text{SL}(2,\mathbb{Z})$
Far from being a specialist on the topic, section 4 of the article $\text{SL}_2(\mathbb{Z})$, by K. Conrad discusses non-congruence subgroups.
- 7,746
2
votes
Accepted
Is there Z_n graded supersymmetry?
The realizations (of an algebra through another algebra) you are speaking about are actually homomorphisms. And as such they should map between algebraic structures of the same kind: that is from alge …
- 7,746
4
votes
Definition of subcoalgebra over a commutative ring
You are right.
In the case of an $R$-submodule $D$ of an $R$-coalgebra $C$, the correct definition for $D$ being a subcoalgebra of $C$ is your definition (2) and not the one posted in your notes. This …
- 7,746
2
votes
Applications of number theory in dynamical systems
Some more references (which i think have not been mentioned in the other posts):
A couple of collections:
LMS 134: Number Theory & Dynamical Systems
Workshop on Combinatorics, Number Theory and Dynam …
- 7,746
2
votes
Algebras Morita equivalent with the Weyl Algebra and its smash products with a finite group
I do not know much on recent developments related to the first three questions asked. However, i know of some old results related mainly to the fourth question:
If $A_1$ is the Weyl algebra over an al …
- 7,746
2
votes
Further developments of Cartier–Gabriel–Kostant–Milnor–Moore Structure Theorem for cocommuta...
The super version of the theorem, refers to "hopf superalgebras", or "$\mathbb{Z}_2$-graded hopf algebras" or "hopf algebras in the braided monoidal category of $\mathbb{CZ}_2$-modules":
Let $\mathcal …
- 7,746
2
votes
How well is the classification of low-dimensional semisimple Hopf superalgebras (or braided ...
The OP asks more than one different things: the classification of fin dim, semisimple (or not), braided Hopf algebras is still a wide open area (up to my knowledge of course).
The classification of …
- 7,746
2
votes
Hopf C-star algebra/comodules using a Fubini tensor product rather than the minimal tensor p...
Although i do not know much more to say, i recall i have seen this variant of the definition of the comodule you are describing, used in the context of Hopf-von Neumann algebras. See for example:
C …
- 7,746
2
votes
Classification of $\operatorname{Rep}D(H)$
To any skew-pairing $\lambda:U\otimes H\rightarrow k$, one can associate a hopf algebra $D(U, H)$ (built on $U\otimes H$) which is called the generalized quantum double of $U$ and $H$.
(If $H$ is fini …
- 7,746
5
votes
Accepted
Examples of particle systems with higher-order collisions
I understand that the OP's original focus is classical statistical mechanics. However, i think that the question is of interest from a more general viewpoint including the dynamical systems/integrabil …
- 7,746
5
votes
Tannaka-Krein duality in Chari-Pressley's book
I do not know much about the Tannaka-Krein duality itself. But regarding the last part of your question
Also if somebody could cast some light on possible generalizations of this proposition (to the …
- 7,746
2
votes
Practical example of Hamiltonian reduction
If i correctly understand your question, i think what you are talking about is the so called Poincare reduction method. This actually generalises Liouville integrability, in the sense that in the pres …
- 7,746
4
votes
Accepted
Typical and atypical modules for Lie superalgebras
Regarding the "what is happening in the super case"; yes i agree that in some sense, it has to do with the odd simple roots but i think it is deeper than that:
In the case of semisimple, complex, Lie …
- 7,746
3
votes
Hopf algebra kernels vs. algebra kernels
-too long for a comment-
I am a little confused about the way terminology is used in the OP.
Maybe i'm missing the point; in case i do not, the closest result i know of -quite general and does not ref …
- 7,746