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
Schubert calculus and singularity theory
β Scribed by Vassily Gorbounov; Victor Petrov
- Book ID
- 113637297
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 254 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0393-0440
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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