Results 31 to 40 of about 1,061 (68)

On the Factorization of the Poincaré Polynomial: A Survey [PDF]

, 2004
2000 Mathematics Subject Classification: 13P05, 14M15, 14M17, 14L30.Factorization is an important and very difficult problem in mathematics. Finding prime factors of a given positive integer n, or finding the roots of the polynomials in the complex plane
Akyıldız, Ersan
core  

On period spaces for p-divisible groups

, 2008
In their book Rapoport and Zink constructed rigid analytic period spaces for Fontaine's filtered isocrystals, and period morphisms from moduli spaces of p-divisible groups to some of these period spaces.
Hartl, Urs
core   +2 more sources

Generic stabilizers for simple algebraic groups acting on orthogonal and symplectic Grassmannians

Forum of Mathematics, Sigma
We consider faithful actions of simple algebraic groups on self-dual irreducible modules and on the associated varieties of totally singular subspaces, under the assumption that the dimension of the group is at least as large as the dimension of the ...
Aluna Rizzoli
doaj   +1 more source

Δ–Springer varieties and Hall–Littlewood polynomials

Forum of Mathematics, Sigma
The $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
doaj   +1 more source

Geometrization of the Satake transform for mod p Hecke algebras

Forum of Mathematics, Sigma
We geometrize the mod p Satake isomorphism of Herzig and Henniart–Vignéras using Witt vector affine flag varieties for reductive groups in mixed characteristic. We deduce this as a special case of a formula, stated in terms of the geometry of generalized
Robert Cass, Yujie Xu
doaj   +1 more source

Harish-Chandra's volume formula via Weyl's Law and Euler-Maclaurin formula

, 2013
Harish-Chandra's volume formula shows that the volume of a flag manifold $G/T$, where the measure is induced by an invariant inner product on the Lie algebra of $G$, is determined up to a scalar by the algebraic properties of $G$.
Atiyah, Berline, Duistermaat, Duistermaat, Euler, Euler, Fegan, Flensted-Jensen, Harish-Chandra, Knapp, Macdonald, McKean, Minakshisundaram, Mneimné, Peter, Pukhlikov, Seunghun Hong, Weyl, Weyl   +18 more
core   +1 more source

Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell

Forum of Mathematics, Sigma
Dale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
doaj   +1 more source

K-Orbit closures and Hessenberg varieties

Forum of Mathematics, Sigma
This article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the general linear group.
Mahir Bilen Can, Martha Precup, John Shareshian, Özlem Uğurlu   +3 more
doaj   +1 more source

Flag varieties as equivariant compactifications of G_a^n [PDF]

, 2010
Let G be a semisimple affine algebraic group and P a parabolic subgroup of G. We classify all flag varieties G/P which admit an action of the commutative unipotent group G_a^n with an open orbit.Comment: 4 pages, small ...
Arzhantsev, Ivan V.
core  

Closure relations for totally nonnegative cells in G/P

, 2005
The totally nonnegative part of a partial flag variety G/P is known to have a decomposition into semi-algebraic cells. We show that the closure of a cell is again a union of cells and give a combinatorial description of the closure relations. The totally
Rietsch, Konstanze
core   +1 more source