# Tagged Questions

**4**

votes

**0**answers

142 views

### Quantum Drinfeld-Sokolov reduction for a module

There is a well-established procedure for quantizing the Drinfeld-Sokolov reduction for an affine Lie algebra. In particular, this paper of de Boer and Tjin describes an algorithm to produce the ...

**3**

votes

**3**answers

362 views

### Irreducible representations of W-algebra in case $\mathfrak sl_3$

Is there a paper in which are all the irreps of the finite W-algebra with trivial action of the center are classified, in the case of $\mathfrak sl_3(\mathbb C)$ and the minimal orbit?

**12**

votes

**1**answer

584 views

### Cartan involution for finite W-algebras

Does anybody know if there is an analog of the Cartan (anti)involution for W-algebra
associated to a nilpotent element e, which is principal in some Levi subalgebra
of semi-simple Lie algebra g? ...

**8**

votes

**2**answers

515 views

### Is the category of representations of a finite W-algebra monoidal?

My question is prompted by Ben Webster's answer to this question.
Is there a notion of tensor product for representations of a finite W-algebra?
I thought about this question years ago in the ...