We say that a group acts infinitely transitively on a set if for every the induced diagonal action of is transitive on the cartesian th power with the diagonals removed. We describe …
It is shown that black-box derandomization of polynomial identity testing (PIT) is essentially equivalent to derandomization of Noether's Normalization Lemma for explicit algebraic …
The irreducible representations of symmetric groups can be realized as certain graded pieces of invariant rings, equivalently as global sections of line bundles on partial flag …
K Mulmuley - Journal of the American Mathematical Society, 2017 - ams.org
We study a basic algorithmic problem in algebraic geometry, which we call NNL, of constructing a normalizing map as per Noether's Normalization Lemma. For general explicit …
This book provides an introduction to flag varieties and their Schubert subvarieties. The book portrays flag varieties as an interplay of algebraic geometry, algebraic groups …
We introduce the notion of a Seshadri stratification on an embedded projective variety. Such a structure enables us to construct a Newton-Okounkov simplicial complex and a flat …
arXiv:1403.2889v4 [math.RT] 16 Jul 2014 Page 1 arXiv:1403.2889v4 [math.RT] 16 Jul 2014 DEGENERATE FLAG VARIETIES OF TYPE A AND C ARE SCHUBERT VARIETIES GIOVANNI …
We introduce a novel class of features for multidimensional time series that are invariant with respect to transformations of the ambient space. The general linear group, the group of …
We study a natural generalization of the noncrossing relation between pairs of elements in. Moreover, our approach allows us to show that the adjacency graph of the noncrossing …