Results 21 to 30 of about 979 (55)

Trivial Witt groups of flag varieties

, 2011
Let G be a split semi-simple linear algebraic group over a field, let P be a parabolic subgroup and let L be a line bundle on the projective homogeneous variety G/P.
Baptiste Calmès, Demazure, Jean Fasel, Merkurjev   +3 more
core   +2 more sources

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

EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS

Forum of Mathematics, Pi, 2017
We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (
OLIVER PECHENIK, ALEXANDER YONG
doaj   +1 more source

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  

Poisson structures compatible with the cluster algebra structure in Grassmannians

, 2009
We describe all Poisson brackets compatible with the natural cluster algebra structure in the open Schubert cell of the Grassmannian $G_k(n)$ and show that any such bracket endows $G_k(n)$ with a structure of a Poisson homogeneous space with respect to ...
Gekhtman, Michael, Shapiro, Michael, Stolin, Alexander, Vainshtein, Alek   +3 more
core   +1 more source

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

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

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

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