𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Quantum Schubert Calculus

✍ Scribed by Aaron Bertram


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
343 KB
Volume
128
Category
Article
ISSN
0001-8708

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Numerical Schubert Calculus
✍ B. Huber; F. Sottile; B. Sturmfels πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 601 KB

We develop numerical homotopy algorithms for solving systems of polynomial equations arising from the classical Schubert calculus. These homotopies are optimal in that generically no paths diverge. For problems defined by hypersurface Schubert conditions we give two algorithms based on extrinsic def

Eigenvalue Inequalities and Schubert Cal
✍ Uwe Helmke; Joachim Rosenthal πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 733 KB

Using techniques from algebraic topology we derive linear inequalities which relate the spectrum of a set of Hermitian matrices A I, . . . , A, E C" " " with the spectrum of the sum A + . . . + A,. These extend eigenvalue inequalities due to FREEDE-THOMPSON and HORN for sums of eigenvalues of two H

Noncommutative Schubert Calculus and Gro
✍ Cristian Lenart πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 236 KB

In this paper we extend the work of Fomin and Greene on noncommutative Schur functions by defining noncommutative analogs of Schubert polynomials. If the variables satisfy certain relations (essentially the same as those needed in the theory of noncommutative Schur functions), we prove a Pieri-type

Operator Calculus forQ̃-Polynomials and
✍ Alain Lascoux; Piotr Pragacz πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 522 KB

de die a maria Contents. ## Introduction. 1. Divided differences associated with the hyperoctahedral groups. 2. Reproducing kernels and a vanishing property. 3. Action of s on the basis [S + } Q I ] an inductive approach. 4. Action of s on the basis [S + } Q I ] via the vanishing property. ## 5

Fibered Quadratic Hopf Algebras Related
✍ Sergey Fomin; Claudio Procesi πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 90 KB

We introduce and study certain quadratic Hopf algebras related to Schubert calculus of the flag manifold.