4 citations · 6 across the 9 of their papers we have counts for
8 papers · 1 filter
Monoid Embeddings of Symmetric Varieties
Mahir Bilen Can, Roger Howe, Lex Renner
We determine when an antiinvolution on an adjoint semisimple linear algebraic group extends to an antiinvolution on a -irreducible monoid. Using this information, we study a spe…
Algebraic Semigroups are Strongly π-regular
Michel Brion, Lex E. Renner
Let be an algebraic semigroup (not necessarily linear) defined over a field . We show that there exists a positive integer such that belongs to a subgroup of $S(F)…
The H-polynomial of a Group Embedding
Lex E. Renner
The Poincaré polynomial of a Weyl group calculates the Betti numbers of the projective homogeneous space , while the -vector of a simple polytope calculates the Betti numbe…
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…