User Simon Wadsley

7 votes

Faithful flatness and non-commutative algebras

answered Dec 5, 2023 at 15:53

6 votes

Accepted

Prove that the ideal of $\mathbb{C}G$ generated by a family of elements $\lbrace p_i\rbrace_{i=1}^n$ is equal to $\mathbb{C}G$

answered Sep 26, 2023 at 11:16

6 votes

Accepted

Adjoint action on the universal enveloping algebra and the PBW theorem

answered Aug 16, 2023 at 21:37

7 votes

When are finite-dimensional representations on Hilbert spaces completely reducible?

answered Jul 14, 2023 at 11:33

2 votes

Accepted

Sheaves and gratings

answered Jul 12, 2023 at 14:28

2 votes

Structure theorem for Iwasawa modules over $p$-adic rings of integers

answered Jun 6, 2023 at 8:14

4 votes

Accepted

What's the relation between pseudo-compact and admissible rings?

answered Feb 22, 2023 at 16:26

3 votes

Accepted

Motivation and reference for Brauer algebras

answered Dec 23, 2020 at 13:33

4 votes

Accepted

$R/I\cong R/\text{Ann}_R(R/I)$ but $I\neq\text{Ann}_R(R/I)$

answered Sep 18, 2020 at 9:01

5 votes

Accepted

Testing ideal membership in the Weyl algebra: a simple example

answered Sep 20, 2019 at 9:31

4 votes

Accepted

Dual of a bimodule

answered Aug 27, 2019 at 15:37

3 votes

Homology of solvable (nilpotent) Lie algebras

answered May 10, 2019 at 17:09

3 votes

Homology of solvable (nilpotent) Lie algebras

answered May 7, 2019 at 20:22

4 votes

Accepted

Is every endomorphism of the sheaf of holomorphic functions on a disk a differential operator?

answered Feb 19, 2018 at 13:00

2 votes

Image of an $F$-acyclic resolution homotopic to a projective resolution?

answered Feb 24, 2017 at 16:11

2 votes

Localising a right Noetherian ring at a set of regular elements

answered Feb 1, 2017 at 13:06

3 votes

Accepted

Is the pair $(C([0 \;1]),\mathbb{C})$ a consecutive pair?

answered Jan 11, 2017 at 14:55

10 votes

Accepted

What kind of algebraic object is $\mathcal{D}_X$? (algebra of diifferential operators). What's special about modules over it?

answered Dec 21, 2016 at 17:07

10 votes

Why should the tensor product of $\mathcal{D}_X$-modules over $\mathcal{O}_X$ be a $\mathcal{D}_X$-module?

answered Dec 21, 2016 at 14:19

2 votes

Uniform pro-p groups as a semi-direct product

answered Feb 18, 2016 at 14:41

3 votes

Accepted

About the construction of the Universal Enveloping Lie Algebroid

answered Jun 19, 2014 at 9:28

5 votes

$\mathbb{Z}G$ (left) Noetherian$\Rightarrow$ $\ell^1(G)$ is a flat (right) $\mathbb{Z}G$-module?

answered Sep 17, 2013 at 8:38

4 votes

Accepted

Zero-divisors in a graded Lie algebra

answered Jun 4, 2013 at 12:31

1 vote

Accepted

Continuation of homomorphisms of representations...

answered May 15, 2013 at 14:37

2 votes

Accepted

Spectrum theorem for p-adic matrix analysis

answered Mar 18, 2013 at 13:24

5 votes

Accepted

Polycyclic group not of type $FP_\infty$

answered Feb 12, 2013 at 12:20

15 votes

Accepted

Isomorphic but non-conjugate subgroups of $GL(n,\mathbb{Z})$ ?

answered Mar 19, 2012 at 11:51

21 votes

Accepted

Are there any finitely generated artinian modules that are not Noetherian?

answered Apr 14, 2011 at 13:36

0 votes

Use of traces in physics

answered Mar 28, 2011 at 16:01

3 votes

how many semi direct products are there?

answered Mar 18, 2011 at 12:08

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52 Answers

Faithful flatness and non-commutative algebras

Prove that the ideal of $\mathbb{C}G$ generated by a family of elements $\lbrace p_i\rbrace_{i=1}^n$ is equal to $\mathbb{C}G$

Adjoint action on the universal enveloping algebra and the PBW theorem

When are finite-dimensional representations on Hilbert spaces completely reducible?

Sheaves and gratings

Structure theorem for Iwasawa modules over $p$-adic rings of integers

What's the relation between pseudo-compact and admissible rings?

Motivation and reference for Brauer algebras

$R/I\cong R/\text{Ann}_R(R/I)$ but $I\neq\text{Ann}_R(R/I)$

Testing ideal membership in the Weyl algebra: a simple example

Dual of a bimodule

Homology of solvable (nilpotent) Lie algebras

Homology of solvable (nilpotent) Lie algebras

Is every endomorphism of the sheaf of holomorphic functions on a disk a differential operator?

Image of an $F$-acyclic resolution homotopic to a projective resolution?

Localising a right Noetherian ring at a set of regular elements

Is the pair $(C([0 \;1]),\mathbb{C})$ a consecutive pair?

What kind of algebraic object is $\mathcal{D}_X$? (algebra of diifferential operators). What's special about modules over it?

Why should the tensor product of $\mathcal{D}_X$-modules over $\mathcal{O}_X$ be a $\mathcal{D}_X$-module?

Uniform pro-p groups as a semi-direct product

About the construction of the Universal Enveloping Lie Algebroid

$\mathbb{Z}G$ (left) Noetherian$\Rightarrow$ $\ell^1(G)$ is a flat (right) $\mathbb{Z}G$-module?

Zero-divisors in a graded Lie algebra

Continuation of homomorphisms of representations...

Spectrum theorem for p-adic matrix analysis

Polycyclic group not of type $FP_\infty$

Isomorphic but non-conjugate subgroups of $GL(n,\mathbb{Z})$ ?

Are there any finitely generated artinian modules that are not Noetherian?

Use of traces in physics

how many semi direct products are there?