Results 1 to 10 of about 149 (98)

Beilinson–Drinfeld Schubert varieties and global Demazure modules

Forum of Mathematics, Sigma, 2021
We compute the spaces of sections of powers of the determinant line bundle on the spherical Schubert subvarieties of the Beilinson–Drinfeld affine Grassmannians. The answer is given in terms of global Demazure modules over the current Lie algebra.
Ilya Dumanski, Evgeny Feigin, Michael Finkelberg   +2 more
doaj   +1 more source

Double Schubert polynomials do have saturated Newton polytopes

Forum of Mathematics, Sigma, 2023
We prove that double Schubert polynomials have the saturated Newton polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory of multidegrees.
Federico Castillo, Yairon Cid-Ruiz, Fatemeh Mohammadi, Jonathan Montaño   +3 more
doaj   +1 more source

Splicing skew shaped positroids [PDF]

Combinatorial Theory
Skew shaped positroids (or skew shaped positroid varieties) are certain Richardson varieties in the flag variety that admit a realization as explicit subvarieties of the Grassmannian \(\mathrm{Gr}(k,n)\). They are parametrized by a pair of Young diagrams
E. Gorsky, Soyeon Kim, Tonie Scroggin, J. Simental   +3 more
semanticscholar   +1 more source

The New Convergence Definition for Sequence of k-Dimensional Subspaces of an Inner Product Space

Journal of Physics, Conference Series, 2019
We discuss the convergence for sequence of subspaces of an inner product space. This paper is an extension of the work by Manuharawati et al [10 and 11].
Manuharawati, D. N. Yunianti, Muhammad Jakfar   +2 more
semanticscholar   +1 more source

On First Order Congruences of Lines in P 4 with Generically Non-reduced Fundamental Surface [PDF]

, 2004
. In this article we obtain a complete description of the congruences of lines in P 4 oforder one provided that the fundamental surface F is non-reduced (and possibly reducible) at oneof its generic points, and their classification under the hypothesis ...
P. De Poi
semanticscholar   +1 more source

On a decomposition of $p$-adic Coxeter orbits [PDF]

Épijournal de Géométrie Algébrique, 2023
We analyze the geometry of some $p$-adic Deligne--Lusztig spaces $X_w(b)$ introduced in [Iva21] attached to an unramified reductive group ${\bf G}$ over a non-archimedean local field. We prove that when ${\bf G}$ is classical, $b$ basic and $w$ Coxeter, $
Alexander B. Ivanov
doaj   +1 more source

Eigenvalues, invariant factors, highest weights, and Schubert calculus [PDF]

, 1999
We describe recent work of Klyachko, Totaro, Knutson, and Tao that characterizes eigenvalues of sums of Hermitian matrices and decomposition of tensor products of representations of GLn(C). We explain related applications to invariant factors of products
W. Fulton
semanticscholar   +1 more source

A Family Of Low Density Matrices In Lagrangian–Grassmannian

Special Matrices, 2018
The aim of this paper is twofold. First, we show a connection between the Lagrangian- Grassmannian variety geometry defined over a finite field with q elements and the q-ary Low-Density Parity- Check codes. Second, considering the Lagrangian-Grassmannian
Carrillo-Pacheco Jesús, Jarquín-Zárate Fausto   +1 more
doaj   +1 more source

Some combinatorial aspects of S^1 fixed points of Peterson varieties

, 2017
In this paper we investigate the partial order set An of S 1 fixed points of the Peterson variety Petn, a special subset of involutions of symmetric group Sn. The order is induced by the Bruhat order of Sn.
Praise Adeyemo
semanticscholar   +1 more source

Mini-Workshop: PBW Structures in Representation Theory

, 2016
The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications.
E. Feigin, G. Fourier, M. Lanini
semanticscholar   +1 more source