The plethory tag has no wiki summary.

**8**

votes

**1**answer

335 views

### Plethysm of $\mathrm{QSym}$ into $\mathrm{QSym}$: can it be defined?

I will denote by $\Lambda$ the ring of symmetric functions, and by $\mathrm{QSym}$ the ring of quasisymmetric functions (both in infinitely many variables $x_1$, $x_2$, $x_3$, ..., both over $\mathbb ...

**3**

votes

**1**answer

295 views

### Classification of plethories over $\mathbb{Q}$

Let $k$ be a commutative ring. For every cocommutative bialgebra $A$ over $k$ the symmetric algebra of the underlying $k$-module $S(A)$ carries the structure of a $k$-plethory (Borger, Wieland, 2.5). ...

**5**

votes

**1**answer

303 views

### Are plethories a theory of basis-free polynomials?

This question is a follow-up to a question about the theory of polynomials.
It should be quite clear by now that matrix theory and linear algebra are quite different topics. As the various answers ...