10 citations · 21 across the 5 of their papers we have counts for
3 papers · 1 filter
Upper bounds for the essential dimension of the moduli stack of ${\sl_{n}}$-bundles over a curve
Ajneet Dhillon, Nicole Lemire
We find upper bounds for the essential dimension of various moduli stacks of $\sln$-bundles over a curve. When is a prime power, our calculation computes the essential dimensio…
On the Cayley degree of an algebraic group
Nicole Lemire, Vladimir L. Popov, Zinovy Reichstein
A connected linear algebraic group G is called a Cayley group if the Lie algebra of G endowed with the adjoint G-action and the group variety of G endowed with the conjugation G-ac…
Cayley groups
Nicole Lemire, Vladimir L. Popov, Zinovy Reichstein
The classical Cayley map, X --> (I_n-X)/(I_n+X), is a birational isomorphism between the special orthogonal group SO_n and its Lie algebra so_n, which is SO_n-equivariant with resp…