524 citations
- Perimeter InstituteCA16 papers
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6 papers · 1 filter
The ring of regular functions of an algebraic monoid
Lex E. Renner, Alvaro Rittatore
Let M be an irreducible normal algebraic monoid with unit group G. It is known that G admits a Rosenlicht decomposition, G=G_antG_aff, where G_ant is the maximal anti-affine subgro…
Observable subgroups of algebraic monoids
Lex Renner, Alvaro Rittatore
A closed subgroup H of the affine, algebraic group G is called observable if G/H is a quasi-affine algebraic variety. In this paper we define the notion of an observable subgroup o…
Observable actions of algebraic groups
Lex Renner, Alvaro Rittatore
Let G be an affine algebraic group and let X be an affine algebraic variety. An action is called observable if for any G-invariant, proper, closed subset Y of X t…
Descent Systems for Bruhat Posets
Lex E. Renner
Let be a finite Weyl group and let . It is widely appreciated that the descent set D(w)=\{s\in S | l(ws)<l(w)\} determines a very large and important chapter in the…
Nested Hilbert schemes and the nested q,t-Catalan series
Mahir Bilen Can
In this paper we study the tangent spaces of the smooth nested Hilbert scheme of points in the plane, and give a general formula for computing the Euler characteristi…
Bivariate hypergeometric D-modules
Alicia Dickenstein, Laura Matusevich, Timur Sadykov
We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holo…